THE SOVIET JOURNAL OF ATOMIC ENERGY VOL. 7 NO. 4
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Volume 7, No. 4
March, 1961
THE SOVIET JOURNAL OF
OMIC ENEItf.1.
TRANSLATED, FROM RUSSIAN
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EDITORIAL BOARD OF
ATOMNAYA ENERGIYA
A. I. Alikhanov
A. A. Bochvar
N. A. Dollezhal'
D. V. Efremov
V. S. Emel'yanov
V. S. Fursov
V. F. Kalinin
A. K. Krasin
A. V. Lebedinskii
A. I. Leipunskii
I. I. Novikov
(Editor-in-Chief)
B. V. Semenov
V. I. Veksler
A. P. Vinogradov
N. A. Vlasov
(Assistant Editor)
A. P. Zefirov
THE SOVIET JOURNAL OF
ATOMIC ENERGY
A translation of ATOMNAYA ENERGIYA,
a publication of the Academy of Sciences,;of the USSR
(Russian original dated October? 1959);.
Vol. 7, No. 4
. March, 1961
CONTENTS
RUSS.
PAGE PAGE
Passage of Fast Neutrons Through Lead and Iron. D. L. Broder, A. A. Kutuzov, V. V. Levin,
V. V. Orlov, and A. V. Turusova ....................... .......... .. 797 313
On Ml--Transitions From Highly Excited States.` L. V. Groshev and A. M. Demidov ........ 804 321
Growth of Uranium Rods in an Aggressive Gaseous Medium. I.'. V. Batenin, A. N. Rudenko, and.
B. V. Sharov . ................................................ 811 329
Experimental Investigation of the Conditions of the Reduction and Precipitation of Uranium by
Minerals. R. P. Rafal'skii and K. F. Kudunova ............................ 815 333
Techniques for the Preparation and Identification of Transplutonium Elements. A. Ghiorso ... 819 338
The Neutron Tissue Dose. A. M. Kogan, G. G. Petrov, L. A. Chudov, and P. A. Yampol'skii .. 830 351
LETTERS TO THE EDITOR
Behavior of Reactors with Temperature Self-Regulation. V. N. Andreev, O. D. Kazachkovskii,
and N. V. Krasnoyarov .................................:......... 841 363
Heat Transfer in Mercury Flow Through Annular Channels. V. I. Petrovichev . . . . . . . . . . . . 844 366
Gamma-Ray Albedo of Cow, Cs137, and Cr51 Isotropic Sources for Some Substances.
B. P. Bulatov .................................. .............. 847 369
Distribution of Kinetic Energy of Fragments in Ternary Fission of U235 by Thermal Neutrons.
V. I. Mostovoi, T. A. Mostovaya, M. Sovinskii, and Yu. S. Saltykov .......... .... 851 372
Mean Number of Neutrons Emitted from U235 in Ternary Fission. V. F. Apalin, Yu. P. Dobrynin,
V. P. Zakharova, I. E. Kutikov, and L. A. Mikaelyan ...................... ... 853 375
Interaction of Fast Nucleons with Nuclei of Nikfi-R Photoemulsion. V. S. Barashenkov,
V. A. Belyakov,WangShu-fen, V. V. Glagolev, N. Dolkhazhav, L. F. Kirillova,
R. M. Lebedev, V. M. Mal'tsev, P. K. Markov, K. D. Tolstov, E. N. Tsyganov,
M. G. Shafranova, and Yao Ch'ing-hsieh ............................... 855 376
Excitation Curves for the Reactions B11 (d, 2n) Ci, Be9 (ct, 2n) Ci B10 (d, n) C11, and
C12 (d, n) N13. O. D. Brill'and L. V. Sumin..... 856 377
....................... . . .
Thermodynamics of Uranium Tetrafluoride Reduction by Magnesium. I. M Dubrovin and
A. K. Evseev ................................................ 858 379
Disintegration of Hafnium by 660-Mev Protons. A. K. Labrukhin and A. A. Pozdnyakov ..... 862 382.
An Autoradiographic Method of Investigating Ink and Pencil Lines on Documents. B. E. Gordon
and V. K. Lisichenko ...... ...................................... 864 384
Reflection of Neutrons with Different Energies from Paraffin and Water. A. M. Kogan,
G. G. Petrov, L. A. Chudov, and P. A. Yampol'skii ......................... 865 385
Distribution of the Absorption Density of Neutrons in Paraffin. A. M. Kogan, G. G. Petrov,
L. A. Chudov, and P. A. Yampol'skii ................................. 867 386
Annual subscription $ 75.00
? 1961 Consultants Bureau Enterprises, Inc., 227 West 17th St., New York 11, N. Y.
Single issue
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Note: The sale of photostatic copies of any portion of this copyright translation is expressly
Single article
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prohibited by the copyright owners.
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CONTENTS (continued)
PAGE
RUSS.
PAGE
NEWS OF SCIENCE AND TECHNOLOGY
International Conference on Cosmic Rays. V. Parkhit'ko ........................
869
389
-,Ninth International Conference on High-Energy Physics. B.Govorkov ................
871
391
The Section on Atomic Science and Engineering at the American Exposition in Moscow ....
875
395
[Start-up of LAPRE-2 Reactor ..........................................
3961
Annular Fixed-Field Strong-Focusing Accelerators ............................
876
396
New Rules for Transporting Hot Materials. A. Shpan' and N. Leshchinskii .............
879
399
A .New Container for High-Activity Radiation Sources. V. Sinitsyn, N. Leshchinskii, and
A. Gusev ............. .......................................
880
399
Brief Communications ..............................................
881
401
BIBLIOGRAPHY
New Literature .. ...... ............... .......................
882
406
The Table of Contents lists all material that appears in Atomnaya Energiya. Those items
that originated in the English language are not included' in the translation and are shown en-
closed in brackets. Whenever possible, the English-language source containing the omitted
reports will be given.
Consultants Bureau Enterprises, Inc.
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PASSAGE OF FAST NEUTRONS THROUGH LEAD
' AND IRON
D. L. Broder, A. A. Kutuzov, V. V. Levin,
V. V. Orlov, and A. V. Turusova
Translated from Atomnaya Energiya, Vol. 7, No. 4, pp. 313-320
October, 1959
Original article submitted January 21, 1959
The present article describes the results obtained in measuring the spatial distribution of fast neutrons, which are
emitted from sources of monoenergetic neutrons, with E0 = 4 Mev and E0 = 14.9 Mev, as well as neutrons from
atomic reactors, in lead and iron.
In order to calculate the space-energy distribution of fast neutrons at large distances from the source, we
have developed a method of solving the kinetic equation for media where the neutrons are moderated due to
inelastic scattering on nuclei. A The anisotropy of elastic scattering is taken. into account. The energy losses
of neutrons in elastic scattering are neglected.
Introduction
One of the main problems in designing nuclear
reactors is the calculation of biological shielding.
Materials which contain a mixture of light and heavy
nuclei have the best protective properties. Substan-
ces with medium and large atomic numbers, for
instance, iron, serve as structural materials for screens,
reactor vessels, and first shielding layers. Therefore,
the study of the spatial and energetic distribution of
neutrons in these substances is of considerable interest.
Iron is a good moderator for neutrons with E > 1 Mev
because of the inelastic scattering on nuclei. In this,
the elastic scattering of neutrons with such energies
does not play an important role in moderation, how-
ever, it materially affects their spatial distribution.
Until the present time, little information has been
published on neutron distribution in iron and lead.
We have performed experiments in measuring the
attenuation of fast neutron fluxes in these substances.
Experimental Devices
Neutron Sources and Media Under Investigation.
As neutron sources, we used the reactor of the First
Atomic Power Station [2], the VVR experimental
nuclear reactor with ordinary water and enriched
uranium [3], and a neutron generator yielding neutrons
with an average energy (E0) of 4 Mev [reaction
D(d, n)He3] and of 14.9 Mev [reaction T(d, n)He4]. Inves-
tigations of the shielding properties of lead were
conducted on the top shield of the reactor in the
First Atomic Power Station. A converter made of
uranium 90% enriched with U235, which was 65 mm
in diameter and 20 mm thick, was installed at the
upper part of a vertical channel reaching the reactor
core. The channel was filled with cylindrical graphite
rods up to a height of 60 cm from the core level in
order to reduce the shooting of fast neutrons from the
reactor through the channel. A block composed of
lead plates with dimensions of 710 X 710 X 700 mm was
placed above the converter. The detectors were
placed in horizontal channels which were provided
in the block. The spatial distribution of neutrons in iron:
was measured in the VVR reactor.t Specimens of the
materials under investigation were. placed on a special
truck in an experimental recess with dimensions
1720 X 1720 mm. The. measurements were performed
for semiinfinite geometry (the source was placed
outside the medium under investigation at a certain
distance from its boundary, and the detector was
placed inside the medium).
The minimum distance from the core center to
the measurement point was 645 mm. The specimens
consisted of Steel-3 slabs with dimensions of
1500 X 1500 mm. Vertical channels 50 mm in dia-
meter, where detectors were placed, were provided
in the slabs. The unoccupied channels were stopped
with Steel-3 plugs.
The spatial distribution of neutrons in iron and
lead was measured also by means of a neutron gene-
rator. Targets of heavy ice (E0 = 4 Mev) and tritium,
which was adsorbed by zirconium (B0 = 14. 9 Mev),
were in the shape of disks 10 mm in diameter. Iron
and lead specimens were in the shape of prisms with
S. A. Kurkin collaborated in developing the cal-
culation method [1].
t M. B. Egiazarov, V. S. Dikarev, V. G. Madeev,
E. N. Korolev, and N. S. Il' inskii collaborated in
these measurements.
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dimensions of 710 X 710 X 830 mm. The neutron
source was placed inside the prisms at a distance of
150 mm from their front faces. The detectors were
placed in vertical channels in the prisms, and the
unoccupied channels were stopped with steel or lead
plugs. In all experiments, the density of lead was
11. 3 g/ cm3, and the density of steel was 7. 83 g/ cm3.
Neutron Detectors. A Th232 fission chamber and
the threshold indicators A127(n,p)Mg27, P" (n, P) St",
and S32(n, p) p32 were used as detectors of fast neu-
trons. The distribution of thermal and epithermal
neutrons was measured by means of a fission chamber
with U235
The fission chambers consisted of pulse-counting
ion chambers; in these chambers, two nickel strips
served as electrodes, on both sides of which the
20 30
a
40 50
r, Ti
fissionable substance was deposited. The strips were
wound into helices 25 mm in diameter and 37 mm
long. The layer thickness of the fissionable substance
was 2, 5 mg/ cm2, and the over-all amount-of the
fissionable substance in the chamber was N 1 g. The
fission reaction threshold for thorium was 1. 1 Mev.
A check showed that the correction for the influence
of y rays and slow neutrons did not exceed 1016 of
the magnitude of the effect in all measurements in the
thorium chamber.
Two types of the threshold indicators P" (n, P) Si31
(reaction threshold: 1.5 Mev), A127 (n, p) Mg27
(reaction threshold: 2. 1 Mev), and S32 (n, p) P32
(reaction threshold: 1. 5 Mev) were used: disk-shaped
indicators with a diameter. of 15 mm and a thickness
of 3 mm (for small distances from the source) and
indicators in the shape of hollow cylinders with an
outside diameter of 35 mm, a length. of 46 mm, and
a wall thickness of 3 mm (for large distances from
the source).
During measurements, all indicators were
enclosed in cadmium cases, which had a thickness
of 0.6 mm.
The activity of the indicators was determined
by means of devices with 13 counters. In order to
reduce the background, the 6 counter for cylindrical
indicators was connected to an anticoincidence cir-
cuit with y counters, which were surrounding the
S counter. The effect was separated by analyzing
the decay curves for the activity of the indicators.
Experimental
Figures 1 and 2 show the results of measurements
for iron, which were obtained with neutron sources
with average energies of 4 and 14.9 Mev and with
the VVR reactor. The magnitudes of neutron fluxes,
30 40
b
50 . 60
r, c-n
Fig. 1. Spatial distribution of fast neutrons in iron' a)
Eo = 4 Mev; b) Ep = 14.9 Mev. Infinite geometry; 0)
measurement by means of a fission chamber with Th232;
o)measurement by means of the P31(n, p) Si31 indicator;
A) measurement by means of the S32 (n, p) PS2 indicator;
1), 2), 3) and 4) theoretical curves for Th, P, S, and Al ,
respectively.
10 1
0
.,.
70 80
Fig. 2, Spatial distribution of neutrons from the VVR
reactor in iron, measured by means of fission. chambers
with Th32 and U. Semiinfinite geometry: a) thermal
neutrons; O) fast neutrons.
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10 '
e
-0r
30 b 40
50 60
r cm
50 60 70
r, cm
Fig. 3. Spatial distribution of fast neutrons in lead: a)Eo-=
=4 Mev; b) E0=14.9 Mev. Infinite geometry; 0) meas-
urement by means of a fission chamber with Th232; e) by
means of the Pal (n, p) SO' indicator; A) by means of the
S32 (n, p) P32 indicator; A) by means of the A127 (n, p)
Mg27 indicator; 1), 2), 3) and 4) theoretical curves for
Th, P, S, and Al, respectively.
multiplied by the square of the distance from the
detector. to the source in the case where the fluxes
were measured by means of threshold detectors and
by.the square of the distance from the detector to
the core center in the case where the measurements
were performed in the reactor, are plotted on the axis
of ordinates.
The measurement results for lead are shown in
Figs. 3 and 4. The curves in these diagrams were
plotted with respect to the results obtained in calcu-
lations for an isotropic point source. The calculation
method is explained below.
The experimental data obtained in measurements
with a converter in the reactor of the First. Atomic
Power Station were converted for an isotropic point source
Theory
Consider an infinite homogenous medium contain-
ing an infinite flat isotropic source of monoenergetic
neutrons with an energy Eo.
If we neglect the slowing down of neutrons in
elastic scattering and if we consider the inelastic
scattering as isotropic, we can write the kinetic
equation O(z, E) for the density of neutron collisions
in the following form:
?%a T d9ttr(z,.E, t')q(E, ?o)+
Ee
+ 4n S 0 (z, E') G a n Fin. (E', E) dE' -I-
E
. gS(z)6(E-E0)
4n
(1)
where ? is the cosine of the .angle between the direc-
tion of the neutron velocity 52 and the z axis, ? o = ST ,
as is the elastic scattering cross section, Gin is the
inelastic scattering cross section, a (E) = as(E) +
+ Gin(E)+ cc(E)4a c is the absorption cross section),
X = 1/ Pa. co(E, Q S2') is the angular distribution of
elastically scattered neutrons, ' Fin (E', E) is the energy
distribution of neutrons in inelastic scattering, g 4s the
source strength, and p is the number of nuclei per
cm3 of substance;
To(z, E) = '41 (z, ?, E)dc2.
We shall further consider that q is always equal to 1.
We shall apply the Fourier transformation to (1):
40
r, cm
Fig. 4. Spatial distribution of neutrons of the
fission spectrum in lead, measured by means
of the S32 (n. P) P32 indicator. Infinite geo-
metry.
IF (z, t, E) = 2~~ ~ (k, t, E) e-11z dk; 1
-ico f9l
cp (k, ?, E) = c ll (z, p, E) e';: dz.
loo.
i
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For (k, ?, E), we then obtain the equation
[1- kk (E) N'p D (k, [t, E)
= o (y, (E) (E) S d S2 '(p (E, It,) (D (k, [t', E') +
_
+ d52' Uin (E' Fin (E', E) (D (k !t', E') dE' +
o (E') 4st '
b (E-E0) (3)
+q 4n
In order to solve (3) we shall use the method of
spherical harmonics. Let us apply the Legendre
polynomial expansion to 1) (k, ?, E) and cp ( Mo, E):
(p (k, [t, E) = 21 n 1 01 (k, E) P, (?);
1=0
tP (?o, E) _ 2l n 1 (p1 (E) Pi (jt0),
1-0
01 (k, E) = ' (k, t, E) P, (N') dQ;
cpt (E) = S (p (tt" E) Pi (?o) dQ0.
By substituting (4) in (3), we obtain a system of equa-
tions for 4)n (k, E):
[ 1- os (E) cpn (E) ] cn (k, E) -
L. o(L)
-k2 (E) It-,-1 (Dn.1(k,E)-
2n+1
-1, ?.(E)2n+1 (?-1 (k, E)
Eu
o~ njJ;)) ~,, (k, E') Fin (E', E) dE'
+q6(E-E,)] s,,,,
If we denote qn (k, E)/k0(k, E) by Rn(k, E), we obtain
a system of equations for Rn(k, E):
-o,(E) q),, (A) Rn(k, E)-
- k? (E) 2n+ 1 Rn,1(k, E) -
R,,-,(I;, E)=O; ' (6)
- lck(E) 2n+1
R? (k, E) =1; n > 0.
By solving this system of equations, we find
U (E) R, (k, E) = Ri (k, E) .
P2 (k, E)
V2 (E)-- Y3 (k, E)
Y3 (E)-...
- Yn-t (E) -Yn (k, E) ,
2
(k, E)=k2A,2(E)4rn2 1 ;.
I'm (E) =1 os (E) (pm (E);
a (E)
xm (k, E) = 2mm 1 U (E) Rm+1 (k, E)
By using the properties of infinite fractions (see [4]), for
the function
R(k, E)=y0-R1(k, E)k?,(E)
R (k, E) = Vn+, (k, E)-xn (k, E) Vn (k, E)
Un+1 (k, E) - Xn (k, E) Un (k, E) ' (9)
where V. and Un are polynomials in k2, which satisfy
the recurrent relation
Wm+1(k, E) = V. (E) wm (E) --
- P. (k, E) wm-1(k, E)
with the initial values U0(k, E) = 1, U1 (k, E) =yo (E),
VO (k, E) = 0; and V1(k, E)= 1. If, in expanding the
scattering indicatrix into Legendre polynomials, we
can neglect the nth and the successive terms, i. e. ,
if we assume that y n = Y n+ 1 = ... =1, then
X. (k, E) = Q. `kk (1)
)( (Ln 1) kk (E)
Qn.1 C 0, (E) )
where Qn is the nth Legendre function of the second
kind. For n >> 1, xn(k, E) = i [1 - 1 - k2~2(E)].
By substituting the solution of (8) in (5) for n = 0
and 4 (k, E) = R1 (k, E) (Do (k, E), we obtain the
integral equation for
(Do (k, E):
Eo
R~(k,'E) ? S a (T") (Do(k,E')Fin(E',E)dF'+
+QS(E-E?). .(11)
In the process of inelastic scattering, the neutrons lose
energy by discrete amounts corresponding to the system
of nuclear excitation levels. Under these assumptions,
(11) assumes the form
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(U (k L-) - (D~ (k) E+ AEi) X
R (k, E) - u o
,, Uin(E..1-AE;.)Fi(E+DE1)+8(E-En).,
v (/;'-{-AL:i)
where 6Ei is the excitation energy of the ith level,
and Fi (E) is the probability that the ith level of a
nucleus will become excited in inelastic scattering
of neutrons with the energy E. The solution of (12)
breaks down into a number of monoenergetic lines:
(D? (k, E) =.R (k, Eo) 8 (E - Eo);
(I)n (Ic, E1) = oifl (En) F1(Eo) R (k, E't) x
x R (Ic, Ej S (E - ER + DE1) etc.
The asymptotic solution for each neutron group can
be obtained by taking the residues at the poles of each
of these expressions:
8 (E-Ed-hoz
~o(z, E()= a 1
ak R(k, Eo)
h=h
IN (z, E1) = a F 1(Eo) 6 (E - Eo +
r e-h (E1) z
--F- AE1) 49 1
1 akR(k, E)Ih=h(E,)
R (Ic (E1), Eo) --I-
e-knz
-I a - .R (ko, E1)1
ak R (k, Eo) Ih-ho J
E1= Eo - AE1 etc.
Discussion of Results
By means of the described method, we calcula-
ted the neutron fluxes 00(z, E) in an infinite medium
for an isotropic flat source. The flux of neutrons with.
the energy E in a medium with a point source of unit
strength can be expressed in terms of 0 by the equation
(DT (r, Ei) = - ? (Ei) [ 21tz ain (, Ei) ] z_r
(1)T (r) _ Ei (1)T (1., Es),
EI
and the flux of neutrons counted by the fission chamber
with Th2s2 or by a threshold indicator and normalized
to unity for r = 0 will be
A=I
n=2
n=3
n=4
n 8 Mev region of differential
inelastic scattering cross sections and by ?a certain
anisotropy of inelastic scattering at high neutron energies.
SUMMARY
The proposed calculation method makes it possible
to find with sufficient accuracy the spatial energy
distribution of neutrons in thick layers of substances
with comparatively large atomic numbers (for instance,
larger than 56) if sufficient data are available on
7
I
0
2
,0
0 10 20 30 40
Fig. 9. Theoretical spatial distribution of modera-'
ted neutrons of different energies in lead. The
energy of source neutrons is EQ = 14.9 Mev. Neutron
energies (Mev): 0) 14. 9; 1')8; 2') 6; 1.) 4; 2) 3.43;
3) 3.16; 4) 2.32; 5) 1.8; 6) 1.48; 7) 1.22.
differential cross sections of inelastic and elastic neutron
scattering. Calculations show that, at large distances
from the source, the neutron spectrum is enriched with
neutrons which are decelerated to a great extent. If
the energy distribution is known, multigroup calcula-
tions for the shielding can be performed.
In conclusion, the authors express their gratitude
to Prof. A. K. Krasin, Cand. Tech. Sci. A. N.
Serbinov, and scientific collaborator V. A. Romanov
for their continued interest in the work and help in
organizing the experiments. The authors extend their
thanks also to V. G. Liforov, Z. S. Blistanova, and
V. S. Tarasenko for their help in conducting the
experiments.
1. D. L. Broder, S. A. Kurkin, A. A. Kutuzov,
V. V. Levin, and V. V. Orlov,Report No. 2147,
submitted to the Second International Conference
on the Peaceful Use of Atomic Energy (Geneva,
1958).
2. D. I. Blokhintsev and N. A. Nikolaev, "Reactor
construction and reactor theory, " Reports of the
Soviet Delegation to the international Conference
on the Peaceful Use of Atomic Energy (Geneva,
1955) [in Russian] (Izd. AN SSSR, Moscow, 1955)
p. 3.
3. D. I. Blokhintsev and N. A. Nikolaev, "Reactor construc-
tion and reactor theory , "Reports of the Soviet Dele -
gation to the International Conference on the Peaceful
Use of Atomic Energy ( Geneva , 1955) j in Russian ]
(Izd. AN SSSR, Moscow, 1955) p.91.
4. A. Wick, Phys. Rev. 75, 738 (1949).
5. L. Cranberg and J. Levin, Phys. Rev. 103, 343
(1956).
6. C. Muelhause, S. Bloom, H. Wegner, and A.
Glasoe, Phys. Rev. 103, 720 (1956).
7. M. Walt and H. Barschall, Phys. Rev. 93, 1062
(1954).
8. A. Culler, S. Fernbach, and N. Sherman,
Phys. Rev. 101, 1047 (1956).
9. J. Beyster, M. Walt and E. Salmi, Phys. Rev.
104, 1319 (1956).
10. M. Walt and J. Beyster, Phys. Rev. 98, 677 (1955).
11. B. Feld, Phys. Rev. 75, 1115 (1949).
12. D. Hughes and J. Harvey, " Neutron dross sections, "
US AEC report BNL-375 (1955).
13. Jagadish Garg and Bechir Torki, Compt. rend.
246, 750 (1958).
14. Yu. S. Zamyatin, E. K. Gutnikova, N. I. Ivano-
va, and I. N. Safina, Atomnaya Energiya 3,
540 (1957).
*Original Russian pagination. See C. B. translation.
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ON M1-TRANSITIONS FROM HIGHLY EXCITED STATES
L. V. Groshev and A. M. Demidov
Translated from Atomnaya Energiya, Vol. 7, No. 4, pp. 321-328
October, 1959,
Original article submitted May 15, 1959
This article is concerned with the probabilities of Ml-transitions from states created by the capture of thermal
neutrons for even-odd and odd-odd emitting nuclei with A from 20 to 60. In the single-particle model, such
transitions are forbidden with respect to l . A comparison with the probabilities of El-transistions shows that
in even-odd nuclei, the probabilities of forbidden M1-transitions which we observed, did not differ much from
the probabilities of I -allowed Ml-transitions for lighter nuclei. In the case of odd-odd nuclei, certain Ml-tran-
I M IM,
sitions are characterized by a large number of quanta per single neutron capture and a large value of (I MIE1)max
In a number of papers [1-4], attempts have recent-
ly been made to use the single-particle model in
analyzing processes of thermal neutrons capture by
nuclei and of the subsequent transition of nuclei into
lower states. Such a model explains certain irregula-
rities in y -ray spectra from the (n, y) reaction. In
particular, within the framework of this model, it is
easy to explain the correlation of intensities of El-
transitions from the initial state created by the capture'
of thermal neutrons with the reduced neutron widths of
levels to which these transitions are directed, which is
observed in nuclei with A from 20 to 60 [4]. There-
fore, it is also of interest to use the single-particle
model in considering the probabilities of M1-transitions
from the initial state in nuclei from the same atomic
weight region.
Prohibition of the Considered M1-Transitions in the
Single-Particle Model.
We shall first restrict our analysis to Ml-transitions
of even-odd nuclei formed in the (n, y) reaction. In
nuclei with A from 20 to 60, the M1=transitions were
separated in the following even-odd nuclei: Mgr', Sim,
Sss, and Ca41.
Since in the given case the thermal neutrons are
captured by even-even nuclei, the M1=transitions
from the initial state are directed to levels with'1/2
or 3/2+ characteristics. For the majority of such
levels, the value I n = 0 or l n = 2 was found from the
angular distribution of protons in the (d, p) reaction.
The possibility of detecting M1-transitions in nuclei
with A from 20 to 40 is connected with the fact that
in these nuclei the 2s 1B / - and 1d3 /2 - states of neutrons
are not highly excited. From the point of view. of
captured neutron transitions, the Ml-transitions in
question must pertain to the (ns1 - 2s1 ) or (ns1 --
-- 1d3 ) types, where n > 2. For both /Z neutron 2
804
transition types, the matrix element in the, single-
particle model is exactly equal to zero.
The Degree of Forbiddenness of Ml-Transitions
In order to determine .the degree of forbiddenness
of the M1-transitions in question, it is necessary to
compare their probabilities with the probabilities of
allowed transitions, which are defined by equations of
the single-particle model, i. e. , to find the quantity
M 12 = I'exp
rgDIDO , (1)
where D is the density of neutron s-resonances with a
given angular moment, and Do is the density of 'single-
particle levels (with a given angular moment and
parity) for small excitations.
In our case, the quantity rexp can be found from
the total radiation width ry and the number Iy of y
quanta per single neutron capture for the given tran-
sition according to the equation rexp = I'y Iy . In this,
it is assurnred that the total radiation width is the same
for the neutron resonance,, for which the value of ry
was found and for the state created by the capture of a
thermal neutron. The quantity rB which enters (1)
will determine the neutron transition probability found
from equations for the single-particle model [5]. Tak-
ing into account the motion of the nucleus carcass, we
shall accept the following values for neutron transitions:
I'B (E1) = 0,021 A21- EY 0_v, .
(2)
PB (M1) = 0,015 EY ev y
(3)
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TABLE 1. Radiation Widths and Densities of, Neutron
s-Resonances of Nuclei with A From 20 to 40.
Nucleus
Na21
A148
S129
698
Ciao
Tres , kev
2 , 9
--
190
111
-0,14
r1 ev
0,4161
0,24?
9161
25(6]
0,48[7]
D, kev
400 [61
50 [8]
500 [6]
20016]
40 [9]
where E y is expressed in megaelectron volts. It should
be emphasized that the quantity Do has a high degree of
indeterminancy.
Data on 1 y and D for nuclei with A from 20 to
40 are given in Table 1. These data are very inaccurate,
and, in certain cases, it may possibly be wrong. By
using data on ry and D for Si29 and S33 and by assum-
ing that Do = 1 Mev, we obtain a very rough estimate
for I MI 2 The value for I MI 2 is on the average
equal to 1.3 for El-transitions, and it is equal to
- 0. 2 for M1-transitions. The I MI 2 values for actual
M1-transitions are given in Table 2.
The degree of forbiddenness of Ml-transitions can
be determined also indirectly, namely, by comparing
their probabilities with the probabilities of El-transi-
tions in a given nucleus.
Table 2 provides data on Ml-transitions from the
initial state in even-odd nuclei. This table' provides
the characteristics of states between which the transi-
tion takes place, and also the quantity IMI?Ml/(IMI1)
where the subscript max in I M I E1 signifies that maxi
this quantity is taken for the El-transition, which
has the highest probability of all El-transitions from the
initial state in a given nucleus.
All MI-transitions are divided into two large
groups, which differ by the magnitude of change in
the orbital neutron moment in transition. The M1-
transition in Si 29 to the level with an isotropic distri-
bution of protons in the (d, p) reaction was additionally
separated. The next to last column of Table 2 gives
the magnitude of I MI 26 which was found, as was
indicated above, from ry and D for Do = 1 Mev.
It follows from the last column in Table 2 that if
we assume that the probability of the most intensive
E1-transition in. a given nucleus is equal to the proba-
bility of a transition according to the single-particle
model, the value of I MI 2M1 for Mi-transitions will
be on the average equal to - 0. 1. For the three
transition types separated in the table, this magnitude
will be approximately the same if we exclude transi-
tions into states with 1 n =O in Ca41, since these states
are definitely not pure single-particle 2s 1/2 states.
Wilkinson [11] considered the probability ratio
of M1- andEl- transitions for light nuclei with A < 20.
In this region of atomic weights, M1-transitions
mainly take place between p-levels, and consequently
these transitions can be considered as 1 -allowed.
Unfortunately, it is not possible to compare the pro-
babilities of El- and Ml-decays of the same state in
light nuclei, as we did in the case of disintegration
of a state created by the capture of thermal neutrons.
The reason for this is either the insufficient investiga-
tion of y -ray spectra or the equal parity of low levels
in light nuclei. Therefore, a comparison of probabili-
ties of El- and M1- transitions can be done only for
different states of light nuclei. T
According to [11], by taking into account the-
of the nucleus carcass and for D = Do, we
movement
obtain for the average values:
IMIEi=0,15 H IMIM1=0,15,.
and IMIMi/I M1Er?1...
If we further assume that the matrix elements of
El-transitions in nuclei with A < 20 and with A from
20 to 40 do not differ much among themselves and
if we consider that we are comparing the I MI 2M1 values
with the maximum value of I M 12E1, we can arrive
at a qualitative conclusion that the probabilities of
forbidden M1-transitions and of the l -allowed M1-tran-
sitions in light nuclei, which we have observed, do
not differ to a great extent.
Causes of Prohibition Removal
In heavy nuclei with odd atomic weights, a large
number of forbidden MT-transitions with .w , 2"between
lower levels is observed. Experimental data on these
transitions are considered in more detail in the Appendix.
Possible causes of prohibition removal for such
M1-transitions were studied in [12-18]. In particular,
the following factors were considered: 1) interaction
through the exchange of charges and spins between two'.
nucleons; 2) a spin-orbital connection; 3) connection
between nucleons and nucleus surface oscillations; 4) an
admixture of other nucleon configurations in, a given
single-particle state.
We consider that the 1/2-,. 1/2+ transitions are pure
Ml-transitions, since an admixture of E2-transitions can
be expected only in the case where M1-transitions are
strictly forbidden or if the probabilities of E2-transitions
are greatly augmented due to collective effects. From
the analysis that we performed, it follows that the. ,
forbiddenness of MI-transitions is small, and that the
observed iprobabilities of E2-transitions correspond to
single-particle evaluations [10].
t Wilkinson [11] did not consider separately nuclei
with different parities of Z and N numbers, since he
did not observe sharp differences in I M 12 for different
categories of nuclei. El- as well as M1-transitions,.
which have been systematized by Wilkinson, can ob-
viously contain various prohibitions (for more details,
see [11]), however, we shall abstract them for the mo-
ment and consider only the l -prohibition.
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TABLE 2. Ml-Transitions of Even-Odd Nuclei from the Initial State
J of
Final state charac-
teristics
E
?"
1
IM12
M1
Transition type
Nucleus
inttial
Mev
"
7'
IMInt1
state
E, Mev
J'~ I
~n
2
N(1E1) max
Mg25
1/2*
0,58
1/2*
0
6,74
2,6
--
0,1
A1,t~0
Mg 25
1/2*
2,56
1/2*
0
4,77
1,3
--
0,12
Si29
1/2*
B.S. *
1/2*
0
8,47
2
0,04
0,025
S33
1/2'
0,84
1/2*
0
7,80
2,6
0,47
(sl, -si/a)
Ca41
1/2*
2,68
1/2*
0
5,70
1,4
-
1
Ca41
1/2*
3,40
1/2*
0
4,9!.
3
1,5
Aln=2
Mg25
1/2*
0,98
3/2*
2
6,36
4,3
-
0,2
M925
1/2*
2,81
3/2*
2
4,52**
1.4 10 and range R>3.74 mm (g-particles); the sub-
script b denotes data on particles with I> 1.4 Io and
R 1536.
Heat of evapora-
tion OHev
*The entropies of conversion were calculated from the formula AS con = E Hcon/ Tcon?
The heat capacity equation may be found by calculation, starting from the known heat capacity of UF4 at
300 K (C P, = 117.81 joule/ mole deg = 28.16 cal/ mole ? deg [4]) and assuming that the increase in heat
capacity with temperature is linear [2] and that the heat capacity of UF4 at the melting point is 7.25 cal/deg ?
g ? at. or 36:25 cal/mole- deg.
According to [7].
In this case,the equilibrium constants of the reac-
tion at different temperatures may be determined from
the equation of the reaction isotherm
AF? = -4,576 T lg K,
AF?=--4,576T]g 9 -
PMg
where PMg is the equilibrium pressure of magnesium
vapor.
The change in free energy of the reaction OFZ
for different temperature intervals is determined by
the Gibbs-Helmholtz equation:
298 \ T
OFT AH29e - \ ACpdT )-}-S ACPdT-
298 T
---T (AS299 - A7n dT) - T 7, dT,
298
A1129A- ACndT=AH(0,
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TABLE 2. AF0 of the Reaction UF4 + 2 Mg = U + 2 MgF2 for Various Temperature Ranges, According to (2)
Temp. range, ?K
298-923
923-938
938-1045
1045-1309
1309-1376
1376-1406
1406-1536
1536-1690
* Boiling point of UF4 [4].
- 85 682+20,83T+0,01. 10-3 T2 -1, 819T1gT+2,157.105T-1
-86 678-13,67T-2,44.10-3T2+2,26.105? T-1-{-10,931TIgT
- 89 098,6+33,16T+1,63-j0-3T--+2,66- 105 ? T-1- 5 ,169T1gT
-86 728,6+22,83T1-1,63.10-3T2-12,66.105?T-1-2,499TIgT
-85 871,6-48,76T-2,7.10-3T2-[2,66.105?T-1-{-22,088TIgT
-158485,6+49,2T-2,7.10-3T2 ;-2,66.105?T-1-1-7,688T1gT
--157 694,3+68,77T-2,7.10-3712+2,66-105- T-1-1-1 , 294T 1gT
-140 658,3+137,05T-24, 88T]gT
. 298
( AC.,
AS2s8- 1 T- dT-4Scoi,
rT
AFTAHco>-+ - ACpdT- TASco, -
T
ACp
-T dT,
o
In determining the change in free energy of the
reaction, the following phase transitions are considered
[2]: 1) the fusion of magnesium at 923? K; 2) the tran-
sition of a-uranium into 13 -uranium at 938? K; 3) the
transition of 13 -uranium into y -uranium at 1045? K;
4) the fusion of UF4 at 1309? K; 5) the boiling of mag-
nesium at 1376? K; 6) the fusion of uranium at 1406? K;
7) the fusion of MgF2 at 1536? K. The data in Table
1 were used for the calculations.
The results, calculated in the form of equations
for the change in free energy of the reaction, are given
inTable 2 and the corrected values of AF?, on the figure.
Table 3 gives the numerical values of AF?, Ig K, and
PMg for characteristic temperatures and data on other cal-
culations of AF? [8] for comparison. As follows from this
table and the figure, the reduction of UF4 by magnesium
at 1400?C will proceed practically completely toward the
formation of metallic uranium and MgF2, since the equi-
librium pressure of magnesium vapor at this temperature
is very low (0.8 mm Hg).
Naturally, the higher the magnesium vapor pressure
in the closed reaction vessel (bomb) [9, 10], the faster
and more complete will be the reduction over a
reaction time, estimated in tens of seconds [101.
TABLE 3. Values of AF?, lg K, and PMg for the Reduc-
tion of UF4 by Magnesium.
Temp.,
'K
A0?,
kcal/mole
6F?,accord-
ing8 to data
rlkcal/m
iF !c
P
Mg
mm Hg
298
-80,1*
-82,4
59,0
-
500
-77,8
-79,1
34,0
923
-71,2
-
16,9
-
938
-70,8
-
16,5
-
1000
-69,4
-69,0
15,1
-
1045
-68,7
-
14,4
-
1309
-64,0
-
10,7
-
1376
-62,5
--
9,93
8,3.10-3
1406
-60,0
-
9
32
1
66.10-2
1500
-54,0
-51,0
,
7,85
,
-
1536
-51,7
-
7,35
0,16
1673
-45,6
-
5,95
0,81
1690
--44,8
--
5,8
0,96
The discrepancy between the given value of AF?,
calculated from the equation for A ys-tit, and the
value of AF?T, determined from the values of t0?29s
of the reaction components(see Table 1), lies with-
in the limits of accuracy of the calculations (-'0.65%).
With excess magnesium (0.5 - 10%[9, 10]) in the
charge, its vapor pressure in the bomb is 8 atmos at
1400? C. T In vacuum remelting (refining) of the crude
uranium (^' 1400? C) at a pressure lower. than the
equilibrium vapor pressure of magnesium for the reduc-
tion, the reaction between crude uranium and slag
inclusions of MgF2 proceeds in the reverse direction.
In this case the freeing of the uranium from MgF2 will
proceed more completely due to volatilization of the
magnesium and UF4 obtained (the boiling point of UF4
is 1417? C [4]).
t Calculated from the formula lg P = 9.52 -7840/ T-
-1.22 lg T [11] (P is the pressure in atmos ).
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-70
s0
-
30
-
20
100 200 300 400 500 600 .700 800 300 1000 1100 1200 1300 1600 1500 1600 1700
Temperature, ?K
Temperature dependence of AF0, ig K,and PMg for magnesium-thermal
reduction of UF4.
1.
H. Finniston and J. Howe, Progress in Nuclear
Energy. Series V. Metallurgy and Fuels, Vol. 1.
(Geneva, 1955)[in Russian] (Goskhinizdat, Lenin-
grad, 1958) Vol. 9, p. 51.
(Pergamon Press, London, 1956).
7.
A. Butts, Metallurgical Problems (McGraw-Hill,
2.
O. Kubaschewski and E. Evans, Metallurgical
New York, 1943) 2nd ed.
Thermochemistry (Pergamon Press, London, 1958).
8.
A. Lemmon, J. Ward, S. Fisher, Theromdynamics
3.
W. Latimer, Oxidation States of the Elements
and Their Potentials in Aqueous Solutions [Russian
the Reduction of Uranium Compounds to Uranium
Metal (US AEC, BMI-550, 1952).
translation] (I1, Moscow, 1954).
9.
H. Thayer, Report No. 602, presented by the USA
4.
F. Rossini, D. Wagman, W. Evans, S.. Levine and
I. loffe, "Selected values of chemical theromdy-
at the Second International Conference on the
Peaceful Uses of Atomic Energy (Geneva, 1958).
namic properties," Circular of the Nat. Bur.
Standards, US Gov. Printing Off. (1952) p. 359.
10.
H. A. Wilhelm, Material of the International
Conference on the Peaceful Uses of Atomic Energy
5.
L. Brewer, L. Bromley et- al., Thermodynamics
of Uranium Compounds. Part I - Thermodynamic
(Geneva, 1955) [in Russian] (Metallurgizdat,
Moscow, 1958) Vol. 8, p. 199.
Tables, Table IV (US AEC, MDDC-1533, 1947).
11.
Kh. L. Strelets, A. Yu. Tairs, and B. S. Gulyanitskii,
6.
F. G. Foot, Material of the International Con-
ference on the Peaceful Use of Atomic Energy
Metallurgy of Magnesium [in Russian] (Metallur-
gizdat, Moscow, 1950).
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DISINTEGRATION OF HAFNIUM BY 660-MEV PROTONS
A. K. Labrukhin and A. A. Pozdnyakov
Translated from Atomnaya 6nergiya,Vol. 7, No. 4, pp. 382-384.
October, 1959
Original article submitted February 13, 1959
The aim of the present investigation was to deter-
mine the yield of the distintegration products and
study some details of the interaction process of 660-
Mev protons with hafnium nuclei.
The chromatographic separation of the disinteg-
ration products the calculation of the a , a+ isotope
yields and also the K-capture isotope yield were
carried out by methods described in the literature
([1, 2, 3] respectively). The accuracy of the isotope
yield determination for K-capture was 50-10016.
On the basis of the experimental and interpolated
data for all identified elements, curves were construc-
ted of the relation between the isotope yields and
their mass numbers (Fig. 1). Also, as can be seen,
a dome-shaped isotope distribution was observed for
the disintegration of hafnium by 660-Mev protons,
similar, for example, to the distribution of the disin-
tegration products of copper [4]. In the case of copper,
however, the dome is situated in the region of nuclear
stability, while in the case of hafnium there is a
strong shift of the dome toward the neutron-deficient
nuclei. Owing to this difference, there is a change in
the isotopic composition of the nuclei. In the disin-
tegration of hafnium, nuclei deficient in neutrons
are mainly produced: 671o of the total disintegration
cross section; the share of stable nuclei and nuclei
with a surplus of neutrons is 23 and 10%, respectively,
while in the disintegration of copper, stable and
neutron-deficient nuclei are produced in approximately
equal amounts ( " 401.).
In the analysis of the isotope distribution vs mass
number curves, it should also be noted that there is
Fig. 1. Distribution curves for the isotope yields of the rare-earth elements as a func-
tion of the mass number. ?) experimental data; 0) interpolated data.
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Mean no. of
Mean no. of
emitted par-
evap. particles
Ratio of mean
Ele-
ticles
no. of evap.
ment
z
neutr, to mean
no. of evap.
n
p
n
P
Prot.
Cu
29
4.8
3.7
2.8
1.7
1.5
Hf
72
13.0
4.1
10.5
2.6
4.0
a shift in the dome-shaped curves from Z=64 in the
direction of smaller mass numbers and smaller yields
in comparison with the neighboring elements, which
apparently may be explained, according to statistical
theory, by the influence of closed subshells with Z=64.
The value of the total cross section for the pro-
duction of isotopes was determined from the curve
in Fig. 1. for each element. These values allowed
us to establish that the total cross section for the dis-
integration process of hafnium nuclei is equal to
1.5 ? 10-24 cm2 (taking into account the hafnium iso-
topes, whose total yield was taken as equal to the
total yield of lutecium). The value found constituted'
85% of the geometric cross section of hafnium nuclei.
It is worth mentioning that in the fraction of lutecium
there was found an activity with a period of 4 hr, which
could belong to a new isotope Lulls. Assuming that
this isotope is B+ active, we calculated its yield. The
value obtained corresponds to the broken line extend-
ing from the left branch of the lutecium curve in
Fig. 1.
Curve 1 in Fig. 2 represents the relation between
the cumulative isobar yield and the number of emitted
nucleons N. As may be seen, the cumulative isobar
remains constant for N s 20, and for N > 20 it falls
according to the exponential law
where the value of the parameter P, determined from
the angular coefficient of the curve of Fig. 2 is equal
to 0.11.. For isotopes with N > 20, the calculation
of the production cross section for a given nucleus-
product may be carried out by meams of the semi-
empirical formula of Rudstam [6]:
To estimate the mean number of neutrons and
protons emitted in the disintegration of hafnium, the
weighted mean value of these particles was calcu-
lated (taking into account the isotopic composition
of natural hafnium) with the formula
laixi
lai
where o i is the production cross section for the ith
isotope, xi is the number of emitted neutrons or
protons during the production of theith. isotope. The
results of the calculations are compared in the table
with the corresponding quantities for the copper disin-
tegration process [41. Moreover, with the help of the
data of [7], we were able to estimate the mean
number of evaporated neutrons and protons.
From the data of the table it follows that in
the disintegration of hafnium by 660-Mev protons, the.
mean number of evaporated neutrons is 3.7 times the
mean number of neutrons evaporated from copper,
while the mean number of evaporated protons. is
only 1.6 times that for copper. The ratio of the mean
0 10 20 30 40
Ao4
o (J1 , Zi)=exp[PA-Q-R(Zi-SAi)2J,
where the values of the parameters, according to
our data, are P = 0.11, Q = 12.8, R= 1.2, S = 0.433.
Fig. 2. Curve 1 is the relation between the cumula-
tive isobar yield and the number of emitted nucleons,
and Curve 2 is the theoretical relation calculated for
A = 200 and Ep = 400 Mev [5].
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number of evaporated neutrons to the mean number
of evaporated protons for hafnium is almost three
times as great as that for copper. These data are
evidence of the sharp increase in the number of eva-
porated neutrons with the atomic number of the
irradiated nuclei (from 29 to 72), while the number
of cascade neutrons remains constant (2 for copper and
2.5 for hafnium). After the data were obtained, the
mean excitation energy of the hafnium nucleus was
determined. It turned out to be 150 Mev, which is
in agreement with the calculated values in [7].
1. A. A. Pozdnyakov, Zhur. Anal. Khim. 2, 566
(1956).
2. A. P. Vinogradov, I. P. Alimarin, V. I. Baranov,
A. K. Lavrukhina et al., Session of the Academy
of Sciences, USSR on the Peaceful Uses of Atomic
Energy (Meeting of the Division of Chemical
Sciences) [in Russian] (Izd. AN SSSR, 1955) p.97.
3. T. V. Malysheva and I. P. Alimarin, Zhur. Eksp.
i Teor. Fiz. 35, 1103 (1958).
A. K. Lavrukhina, L. D. Krasavina, F. I. Pavlots-
laya, and I. M. Grechishcheva, Atomnaya
Energiya 2, 345 (1957). ?
5. I. Jackson, Canad. J. Phys. 35, 21 (1957).
6. S. Rudstam, Phil. Mag. 44, 1131 (1953).
7. N. Metropolis, R. Bivis et al., Phys. Rev. 101,
204 (1958).
* Original Russian pagination. See C. B. translation.
AN AUTORADIOGRAPHIC METHOD OF INVESTIGATING
INK AND PENCIL LINES ON DOCUMENTS
B. E. Gordon and V. K. Lisichenko
Translated from Atomnaya Energiya,Vol. 7, No. 4, pp. 384-385
October, 1959
Original article submitted April 23, 1959
The ascertainment of additions and corrections
on documents, made at a later date after the original
text was written, is of great importance in criminological
practice. It has been proposed that the relative
remoteness of the date on which alterations were made
in texts written with a ferric gallate ink, which con-
tains large amounts of ferrous chloride or ferrous
sulfate, be determined with respect to the migration
of chlorine or sulfate ions from the written lines into
the paper.
However, the usual chemical analysis of chloride
line traces yields satisfactory results only for a con-
siderable concentration of chlorine ions in the ink,
and, therefore, we replaced this method by autoradio-
graphic detection.
The part under investigation of the document in
question was soaked in a 0.1 N solution of AgNO3,
which was labeled with Agu? with an activity of mC
ml, or in a 0.1 N solution of HNO3 or a solution of
monovalent thallium sulfate, which were labeled
with Tl . After 5 min, the document was rinsed
five times in a 0.0116 solution of HNO3 in order to
remove the excess reagent. After drying, the document
was placed in contact with photographic paper in dark-
ness. After one day, the obtained radiogram was deve-
loped and fixed in the usual manner.
In investigating lines made with aniline ink, which
contans a negligible amount of chlorides, it appeared
that the migration of chlorine ions could not be detec-
ted. However, it was established that, due to the
adsorption of the radioactive reagent by the ink dye,
the radiographic image of the ink line was obtained.
Such an image is obtained also if an ink made of a
chemically pure methyl violet dye, where extraneous
chlorine ions are almost completely absent, is used.
The image does not become blurred after the document
Fig. 1. Autoradiogram of a text
consisting of figures, which was
written with a methyl violet ink,
after treatment with an AgNO3 so-
lution which was labeled with Aguo
The original text was written a year
and a half ago; a month before the
investigation, the numbers 5 and 6
were added with the same ink.
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is kept in air saturated with water vapor, and its size
almost exactly corresponds to that of the ink lines. It
appeared that the adsorbability of silver by ink lines
depends on whether the text was written a long time
ago. As can be seen from the photograph (Fig. 1), the
lines made recently on the paper yield more intensive
radiographic prints than the lines which were made a
long time ago.
In contrast to acid dyes, the basic ink dyes adsorb
also radioactive isotopes which enter the composition
of certain anions. However, in this, the remoteness
of the date on which the text was written is not
manifested. Thus, even in treating faded texts with
solutions of Na2S, NaI, or K4Fe(CN)6, which are
labeled with Ste, I1, and CA, respectively, clear
radiographic prints are obtained.
Especially good prints of texts written with violet
and blue inks were obtained by adsorption of complex
Fe(CN)s- , Zn(CNS)4-, T1Br4, and CdI4 anions. The
last three anions are readily formed when ZnSO4, T12
(SO4), and CdSO4 are dissolved in excess amounts of
KCNS. KBr, and NaI, respectively. Any atom of a
complex anion can be labeled with a suitable radio-.
active isotope.
According to the Fajans - Panet rule, anions
which form least soluble compounds with the dye' are
adsorbed best, and, consequently, they provide more
contrasting radiographic prints. This provides the
possibility of differentiating inks and of detecting
additions in the text. For instance, lines written with
a blue ink, based on the "Ts" methylene blue dye,
adsorb ferro-cyanide ions more intensively than lines
containing the ordinary methylene blue dye. This.
can be clearly seen on the autoradiograph (Fig. 2).
The paper of documents also adsorbs radioactive
isotopes, especially if they enter the composition of
cations. Third-class writing paper adsorbs radioactive
isotopes to a lesser extent than the first- and second-
A B
Fig. 2. A) Photograph of a text consisting of
figures. The two middle figures in both lines
are written with methylene blue ink, and the
end figures are written with the "Ts" methylene
blue . B) Autoradiograph of the same text after
treatment with a solution of K4Fe(CN)6 which
is labeled with CiA.
class writing papers. Coated paper with large amounts
of fillers adsorbs silver ions so strongly that ink lines
can be hardly distinguished from the general radiogram
background.
Lines made with graphite, graphite tracing,. and
colored pencils also adsorb radioactive isotopes. The
adsorption by pencil lines containing basic dyes is
determined by the latter. However, the dependence
on time is not observed in all cases. Acid dyes which
enter the composition of pencil lines (for instance,
eosin) actually adsorb only cations. Soft-graphite
pencils, which contain more graphite and carbon black
than hard pencils, adsorb cations better than the latter.
Printing dyes adsorb also silver and thallium cations.
Thus, in a number of cases, by means of_the
described method and by using radioactive isotopes,
more contrasting photostats of faded originals can be
prepared, and additions written with different writing
materials or written at different times can be
detected.
REFLECTION OF NEUTRONS WITH. DIFFERENT
ENERGIES FROM PARAFFIN AND WATER
A. M. Kogan, G. G. Petrov, L. A. Chudov,
and P. A. Yampol'skii
Translated from Atomnaya Energiya, Vol. 7, No. 4, pp. 385-386
October, 1959
Original article submitted April 2, 1959
In solving problems in connection with the bio- neutrons with different energies from tissue and the
logical action of neutrons, it is very important to dependence of the reflection coefficient on the beam
know the quantity characterizing the reflection of geometry. In connection with this, we measured the
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magnitude and the angular dependence of neutron
reflection from tissue-equivalent substances in a wide-
energy interval.
In experiments, we determined the ratio of the
reflux of neutrons of all energies from a medium to
the incident flux of the neutrons under. investigation.
Our aim was to find the portion of the over-all number
of incident neutrons which was absorbed in the
substances.
Two methods of reflection measurement were used.
The first method was used in those cases where the
neutron source had small dimensions so that it could
be considered almost as a point source. The second
method was used in measuring the albedo of slow
neutrons in neutron beams extracted from the channel
of a nuclear reactor.
The first method consisted in the following. By
means of manganese foils, the radial distribution of the
absorption density was measured in a large water tank,
at the center of which the source was placed. The
integration of the activity of foils throughout the entire
tank volume made it possible to determine the source
strength in relative units which were related to the
activity of a standard foil. If, after this, the source
was placed at a sufficiently great distance from the
boundary of the material under investigation, the
incident flux at the boundary could be considered as
a plane flux. Then, for reasons of symmetry, it was
considered that the activity integral of standard foils
throughout the depth of the material reflected the
number of neutrons which were absorbed, i.e., the
number of neutrons which did not leave the surface.
At the same time, the number of incident neutrons
was determined with respect to the source strength
and the distance between the source and the.surface.
If the source strength in water was determined,and
the reflection from paraffin was measured, a correc-
tion, connected with different macroscopic absorption
cross sections of paraffin and water, was introduced
in the result. A water tank 110 cm in diameter and
130 cm high and a rectangular paraffin block in
the shape of a parallelpiped with dimensions equal
to 40 X 40 X 60 cm were used in the experiments. The
distance from the source to the surface was 50-150 cm.
By this method, we measured the paraffin
reflection of neutrons from a polonium-beryllium
source (average energy: 5 Mev) and the reflection of
photoneut7ons from sodium-beryllium (0.83 Mev),
sodium-deuterium (0.22 Mev), and antimony-beryl-
lium (25 kev) sources.
In measurements in a reactor, the second method
was used. For a relative determination of the incident
flux, the collimated neutron beam from the nuclear
reactor reflector was introduced into a device which,
for the neutrons, acted as an absolute black body. This
device was made in the shape of a thin-walled tube,
which ended with a hollow sphere that was surrounded
TABLE 1. Neutron Reflection Coefficient for Normal
Incidence
Neutron
Paraffin
Neutron
Water
energy
reflection
energy
reflection
coefficient
coefficient
5 Mev
0.06
2.7 kev
0.47
0.83 Mev
0.12
130 ev
0.56
0.22 Mev
0.19
5 ev
0.71
25 kev
0.38
Thermal
0.58
TABLE 2. Dependence of the Reflection Coefficient
on the Angle of Neutron Incidence
Angle of incidence
Neutron
energy
0? 1
15? I
30? I
45?
60? I
75?
5 Mev
0,06
0,110
0,21
0,32
0,50
0,74
0,22 Mev
0,19
-
-
0,44
0,61
-
5 ev
0,71
-
0,74
-
0,80
-
Thermal
0,58
-
0,63
-
0,76
-
with a thick layer of a weak water solution of man-
ganous chloride. The sphere diameter was 24 cm and
the tube diameter was 3.5 cm. Thus, the neutron
beam was not reflected back after it reached the
inside of the sphere, but was entirely absorbed. The
total solution activity characterized the magnitude
of the incident neutron flux. The following filters
were used for separating neutrons of different energies:
a cadmium filter with a thickness of 1 mm (which
absorbed thermal neutrons) and a boron 0.4 g/ cm2
thick. filter (which absorbed, beside thermal neutrons,
also neutrons with an energy of several electron volts).
For a combination of a boron filter with a cobalt
layer, also neutrons with an energy of - 130 ev were
knocked out of the beam; this was due to resonance
scattering. In a similar manner, the sodium filter
extracted neutrons with an energy of " 2.7 kev from
the beam. The sodium and the cobalt filters were
placed in such a manner that the neutrons scattered
by these filters did not fall into the sphere. After the
incident flux was measured, the reflection of neutrons
from the water surface was determined. For this, a
calibrated neutron beam was directed toward a thin-
walled aluminum tank, which was filled with a
solution of manganous chloride. The number of non-
reflected neutrons was determined with respect to
the activity of the solution in the tank. The effect
of neutrons with different energies was determined by
fractionating the beam by means of filters.
The activity of solutions was determined with
respect to standard metallic manganese specimens,
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which were deposited electrolytically. The irradiation
of the rectangular tank at different fixed angles 0
between the beam and the normal to the surface
provided data on the angular dependence of the neutron
reflection coefficient.
The results of all measurements are shown in
Tables 1 and 2. In considering these data, it shduld
be first noted that the coefficient of neutron reflection
from a hydrogenous substance decreases with an
increase in energy, and that an increase in albedo is
observed only in passing from thermal energies to
energies of several electron volts. Such a character
of the relation between the albedo and the energy of
neutrons is in agreement with data from [1].
The dependence of the albedo on the incidence
angle 0 for all investigated energy values can be
expressed by the relation (1-(x)0 = (1-a)0_0 cosO.
The reflection coefficient equal to 0.58, which
was obtained for the normal incidence of thermal
neutrons, is considerably smaller than the albedo of
neutrons for paraffin, whose magnitude, equal to 0.83,
is ordinarily used in literature. This albedo value for
an isotropic distribution of incident neutrons was
obtained earlier in [2]. If the albedo for an isotropic
distribution is calculated by using the obtained angular
dependence of the albedo and the .albedo magnitude
for the normal neutron incidence, it will be equal to
0.73, which is considerably closer to the value of 0.83.
The authors extend their thanks to the graduate
of the Leningrad Polytechnical Institute, G. P. Gordeev,
who collaborated in measuring the albedo of slow
neutrons.
LITERATURE CITED
1. L. Cave, Brit. J. Radiol. 27, 273 (1954).
2.1 E. Amaldi and E. Fermi, Phys. Rev. 50, 899 (1936).
DISTRIBUTION OF THE ABSORPTION DENSITY OF
NEUTRONS IN PARAFFIN
A. M. Kogan, G. G. Petrov, L. A. Chudov,
and P. A. Yampol'skii
Translated from Atomnaya Energiya, Vol. 7, No. 4, pp. 386-388
October, 1959
Original article submitted April 2, 1959
The neutron tissue dose is partially determined
by the energy which is liberated inside the tissue in the
capture of neutrons. In dependence on the initial
neutron energy, this portion of the tissue dose will
constitute different contributions to the over all dose.
For instance, for neutrons with an initial energy of
several kiloelectron volts, the tissue dose will almost
entirely be determined by energy which is released in
capture. For neutrons with an initial energy of 1 Mev,
a substantial part of the dose will be determined by
energy which is dissipated by neutrons in the slowdown
process. In order to determine the capture component
of a neutron dose, we investigated the spatial distri-
bution of neutron absorption in paraffin, which simula-
ted the biological tissue. These measurements were
performed for a normal incidence of an extensive
neutron beam on a flat paraffin surface. The paraffin
block was in the shape of a rectangular parallelpiped
with dimensions equal to 40 X 40 X 60 cm. The
neutrons were aimed at the 40 X 40 cm face. The
length of 60 cm. was. chosen for the purpose of making
the neutron density approach zero at a sufficiently
great distance from the back face of the paraffin
block, so that the neutrons were completely absorbed
in the block for any initial neutron energies used in
experiments.
In order to obtain data for determining the
transverse block dimensions, we performed measure-
ments of neutron density in paraffin (along the block
axis) for different transverse dimensions of the block.
For small block dimensions, the neutron density at
the axis depended on its transverse dimensions; how-
ever, when certain critical dimensions were attained,
a further increase in the block size did not influence
the magnitude of neutron density. The critical block
dimensions, depending on the initial neutron energy
for an energy of 5 Mev, were less than 40 cm. Thus,
the absorption of neutrons in a block of the indicated
size coincided with the absorption in semiinfinite
space filled with paraffin.
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1,0
0,9
0,8
07
0
6
a
,
;
c 0, 5
?a OP 4
02
8 10 i2 14 16 18 20 22 24 26 28 30 32 34 36 38 40
Depth, cm
Density distribution of the absorption of neutrons with different energies in paraffin. Neutron
energies: ) thermal neutrons; - - - ) 5 ev;-- -?- 25 kev;-?--??- 220 kev;-???-
0.83 Mev; -A-) 2.9 Mev; -x-) 5 Mev.
The measurement of neutron density was per-
formed by means of thin manganese foils.
In experiments, the depth distribution of the
absorption density of incident neutrons with the follow-
ing energies was determined:
1. thermal neutrons which were obtained by fil-
tering a beam extracted from the channel of a nuclear
reactor through cadmium (thickness: 1mm);
2. neutrons with an energy of - 5 ev, which were
separated from a beam of resonance neutrons from a
nuclear reactor by combining a boron (0.6 g/ cm2) and
a cadmium (1 mm) filter;
3. photoneutrons from an antimony-beryllium
source with an energy of 25 kev;
4. photoneutrons from a sodium-deuterium source
with an energy of 220 kev;
5. photoneutrons from a sodium-beryllium source
with an energy of 0.83 Mev;
6. neutrons produced by the Hi (d, n)He2 reaction
with an energy of 2.9 Mev (the deuteron energy was
1.8 Mev, and the emergence angle of neutrons in the
laboratory coordinate system was 90?);
7. neutrons from a polonium-beryllium source
with an average energy of 5 Mev.*
The maximum statistical error in measuring the
activity of foils was ^? 3116.
The measurement results are shown in the figure.
All the curves are characterized by the presence of
a maximum, which is shifted toward the depth of
paraffin as the energy increases. In passing from thermal
neutrons to neutrons with an energy of several electron
volts, a drastic shift of the maximum from 0.5 to 2.5
cm is observed. This is perhaps connected with the
fact that the maximum absorption probably takes place
at a depth which is of the order of the transport path
length of an incident neutron, and since the scattering
cross section of neutrons in paraffin decreases approxi-
mately fourfold for a neutron energy exceeding the
energy of the proton bond in a paraffin molecule, the
free neutron path correspondingly increases. The com-
paratively slow shift of the maximum toward the depth
as the energy increases to 5 Mev can also be explained
by a weak dependence of the scattering cross section
in this energy interval.
It is obvious from the figure that the ratio of
absorption at the maximum to absorption at the surface
tends to increase, which can to a certain extent
characterize the relative amount of slow neutrons
leaving'the front paraffin surface, i.e., it can charac-
terize the reflection coefficient.
The rate of the drop in absorption density beyond
the maximum decreases. as the energy of incident
neutrons increases; this is to be expected, as the length
of the free neutron path increases. The departure from
this regularity at greater depths in the case of neutrons
with an energy of ^' 5 ev was obviously connected
with the fact that, in the boron filter which separated
these neutrons, a small amount of faster neutrons was
separated from the beam; this was also due to the
inaccuracy in measuring the activity by-means of
cadmium and cadmium-boron filters. The difference
between these measurements determined the values
given in the figure.
? J. Elitot, W. McGarry, W. Faust. Phys. Rev. 93,
1348 (1954).
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News of Science and Technology
INTERNATIONAL CONFERENCE ON COSMIC RAYS
V. Parkhit'ko
The International Conference on Cosmic Rays,
convened under the auspices of the International
Union of Pure and Applied Physics, met June 6-11,
1959, in the auditorium of the M. V. Lomonosov Moscow
State University. The Conference was attended by
representatives of scientific organizations from 25
nations.
The widespread interest in this Conference is to
be explained by the particular significance attached
to problems of cosmic rays in physics today. Cosmic-
ray particles of exceptional high energy are a power-
ful tool in the study of the atomic nucleus, and also
provide information to science on the spectacular
events taking place in the Universe which give birth
to these remarkable rays. A new landmark in this
field of research, as emphasized in the introductory
remarks by Academician D. V. Skobel'tsyn, has been
established by the launching of the first artificial
satellites of the earth and sun, an achievement of
historical import. A completely novel approach to
research on the Cosmos has been inaugurated, and
new phenomena of exceptional interest have been
reported. The exchange of views on the essence of
those scientific achievements constitutes a significant
contribution to cosmic-ray research.
The most prominent problem in the field of cosmic-
ray studies is the unraveling of the nature of nuclear
interactions at critically high energies beyond the reach
of present-day accelerators. A session of the Con-
ference,chaired by Britain's leading scientist, C. F.
Powell, an honorary member of the Academy of Sci-
ences of the USSR, was devoted to the achievements
of world science in this area.
The first report was delivered by Prof. M. Schein
(USA). He gave an account of research on nuclear
interactions at energies in excess of 1012 ev,
Photoemulsion tracking techniques showed great
promise in studies of high-energy particles. Prof.
D. H. Perkins reported on research using this technique,
carried out at an altitude of 10,000 meters on board
a jet plane. Experiments employing photoemulsion
techniques resulted in the discovery of new cosmic-
ray processes, and involved thousands of flying hours.
The data reported stimulated a lively discussion at the
Conference.
The Soviet scientist N. L. Grigorov reported a
novel technique facilitating research for cosmic-
particle energies. Interest was also heightened by
announcements of work conducted at Pamir under the
supervision of Prof. N. A. Dobrotin. The pattern of
interaction between nucleons and nuclei was studied at
heights in the mountains. The particle energy was
successfully measured by Grigorov's method.
Valuable data on high-energy interactions were
also reported in papers by physicists of the Kazakh SSR
and in experiments of Hungarian and Japanese scientists.
The second session of the Conference discussed
one of the fundamental problems in modern physics,
that of the interaction of elementary particles with
atomic nuclei at energies thousands and millions of
times in excess of anything achieved in the largest
accelerators now in existence.
A review report delivered by Prof. E. L. Feinberg
(USSR) was followed by reports on new research efforts
in that field of study.
Soviet and foreign scientists expounded their views
on the essentials of the process of multiple production
of particles. The basic fact is that each collision
between particles at exceptionally high energies
results in the production of a large number of new
fragment particles. Seven experiments on this topic
performed in Japan were described at the Conference
by Japanese scientists S. Hayakawa and J. Nishimura.
The Soviet physicist D. S. Chernavskii told of research
carried out at the P. N. Lebedev Institute of Physics
in Moscow.
The following days at the Conference were used
for discussion of the results of investigations of broad
atmospheric showers. A special session dealt with
studies of primary cosmic radiation. The outstanding
feature of this primary radiation is that during its travel
it gives rise to a host of "descendants," the secondary
particles. Some of these "descendants' possess great
penetrating power. Mu-mesons, for example, are
known to penetrate a thousand meters deep into the
earth.
The session of July 10 was extremely interesting.
Results of research on primary cosmic radiation by
means of airborne balloons, rockets, and satellites
were discussed. Special attention was focused on the
problem of the origin of the cloud of charged particles
enveloping the earth. Prior to the launching of earth
satellites, no one had suspected the existence of such
a cloud. The phenomenon was subjected to painstaking
investigation with instruments carried on board the
third Soviet earth satellite. The first Soviet cosmic
rocket later passed right through that cloud and beyond
it, measuring the composition of the radiation in detail.
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Photo taken in the Conference auditorium. Seated,from left to right: Prof. B. Rossi (USA), Academician
D. V. Skobel'tsyn (USSR), and Prof. C. F. Powell (Britain) (photo by the author ).
At the present conjuncture, ample experimental
material has been accumulated on the origin of the
two cloud belts (inner and outer belts), a report on which
was made at the Conference.. The inner belt passes
above the equator at a height of several thousand
kilometers, and is made up of high-energy protons.
The outer belt extends to a distance of the order of
about 50,000 km from the earth, and is made up of
relatively low-energy electrons. Prof. J. Van Allen,
who was the first to discover the radiation belts, deli-
vered a report on American research in that area.
Soviet research on the same topic was summed up in
a report by Corresponding Member of the Academy
of Sciences,of the USSR S. M. Vernov, and Candidate
in Physical and Mathematical Sciences A. E. Chudakov.
Soviet and American researchers have reached
the conclusion that the charged particles found in the
inner cloud belt are formed as a result of decay of
neutrons emitted by the earth's atmosphere as cosmic
rays impinge on the atmosphere. Particles in the outer
cloud belt may possibly be of solar origin, in the view
of some scientists.
A report delivered by Soviet scientists N. V.
Pushkov and S. F. Dolginov stating that electric currents
which appreciably alter the geomagnetic field flow
in the charged-particle clouds made a deep impression.
This phenomenon was detected by. means of a mag-
netograph mounted on board the first Soviet space
rocket (Lunik).
Interest was stimulated by a paper delivered by
Australian scientists, telling of observations of Soviet
artificial earth satellites by Australian observation
teams.
The closing day of the Conference, devoted to the
problem of the origin of cosmic rays, had as its most
interesting papers reports by Soviet scientist V. L.
Ginzberg, "Some problems concerning the theory of
the origin of cosmic rays," L. Davis (USA), "On diffu-
sion of cosmic rays throughout the Galaxy," and S. Ha-
yakawa, M. Koshiba, and N. Hiroshima (Japan), "The
acceleration mechanism of cosmic-ray particles."
Speaking in the name of foreign guests at the
close of the Conference, Prof. B. Rossi, chairman of
the Cosmic-Rays Commission of the International Union
of Pure and Applied Physics, addressed the gathering.
He thanked the Soviet scientists for their hospitality,
and remarked on the favorable conditions provided to
expedite the work of the Conference.
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NINTH INTERNATIONAL CONFERENCE ON HIGH-
ENERGY PHYSICS
B. Govorkov
The Ninth International Conference on'High-
Energy Physics. met in Kiev, July 15-25, 1959. Over
300 scientists of prominence from 32 nations were in
attendance at the Conference, with delegates from the
largest international research institutions, e.g., the
Joint Institute for Nuclear Studies (Dubna), the Center
of European Nuclear Research (CERN), and including
Prof. A. I. Alikhanov, D. I. Blokhintsev, N. N. Bogo=
lyubov, V. I. Veksler, L. D. Landau, B. M. Pontecorvo,
I. E. Tamm (all from the USSR), L. Alvarez, V. Weiss-
kopf, E. McMillan, W. Panofsky, E. Segre, G. F. Chew,
L. Schiff, J. Steinberger (USA), R. Peierls, A. Salam
(Britain), Wang Hang-chang (China), H. Yukawa
(Japan), E. Amaldi (Italy), and G.Bernadini, R. Hof-
stadter (CERN).
A system of review papers was adopted at the
Conference. Leading specialists in the fundamental
branches of high-energy particle physics appeared
with participants in the panel sessions-, and discussed
the review reports to be delivered in the plenary sessions.
The first plenary session, held on July 20, was
opened by the chairman of the organizing committee
for the conference, D. I. Blokhintsev. The participants
remained standing in silence to honor the memory of
the distinguished physicists Frederic Joliot-Curie,
Ernest Lawrence, and Wolfgang Pauli, all of whom
passed away during the interim between the Eigth and
Ninth conferences.
Prof. G. Bernadini delivered a review report on
photoproduction of pions and the Compton effect on
a proton. He analyzed in detail some new data
reported during the previous year in several American
laboratories, relating to the nature of the maxima 2
and 3 detected in the photoproduction cross sections
of the mesons.
Despite the fact that with the commissioning of
the - 1 Bev synchrotrons (in USA, Italy), the interests
of physicists have shifted to the higher-energy region
(^600 Mev to 1 Bev), there are. still a host of classi-
cal effects in meson physics observable in the region
close to the photoproduction threshold for mesons
which require measurement and refinement, these
being: measuring the threshold photoproduction cross
sections of pions, interaction constants, applicability
of theoretical descriptions of threshold phenomena
based primarily on the Chew-Low model or on dis-
persion relations. The most complete experimental
results relating to this energy region are those reported
by Soviet physicists working with the' synchrotron of
the Institute of Physics of the Academy of Sciences
of the USSR.
Questions pertaining to nucleon scattering of
nucleons and single production of pions in lr- n- and
n -n -interactions, intimately associated with the
photoproduction of pions, were dealt with in a report
by Prof. B. M. Pontecorvo. An analysis of the experi-
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ments carried out on the accelerators available at the
Dubna, and Chicago laboratories, and other institutions,
for the purpose of verifying the principle of charge
invariance in processes involving participation of pions
and nucleons, failed to show a single reliable case of
violation of that principle; the promising method
pursued to verify the principle was the study of an
interaction, forbidden with respect to isotopic spin,
between two deuterons, resulting in the formation of
a neutral it -meson and a helium nucleus. It was noted
in the report that, as a result of completion of experi-
ments on 7r- p-scattering at 400 Mev (USSR, USA),
much knowledge has been gained on the phase shifts
of 7r=p-scattering. More accurate measurements of
the total cross sections for ?r-p--interactions at 1 Bev
energy have fully confirmed R. Wilson's hypothesis,
which held that two maxima must exist (corresponding
to photoproduction of mesons) in the energy dependence
of total 7r =p-scattering. These maxima have been
found, and there are now three resonance peaks in the
total cross section of the 7r -p-interactions: the first
at - 190 Mev, due to a strong interaction between.
the state T = 3/ 2 and I = 3/ 2 (positive parity ); the
second at ' 650 Mev, a strong interaction between
states T = 1/ 2 and I = 3/ 2 (negative parity); the
nature of the third maximum, at 950 Mev energy, is
more obscure, but apparently marks a state having
I=5/2.
.It is to be noted that many new ."discoveries"
were reported at the Conference. Experiments per-
formed in the USSR (at Dubna) and in Great Britain
invalidated the hypothesis of the existence of an
isotopic scalar Irv -meson having a mass close to
that of the conventional 7r0-meson. This hypothesis
had been advanced to account for several contradic-
tions in the field of low-energy meson physics. New
data on it -p-scattering showed that no serious
discrepancies exist between experimental Tr-p -scatter-
ing data and dispersion relations (known as the Puppi-
Sta-helin problem).
A lively discussion and considerable interest
centered around data on the pair production of pions
from meson-nucleon collisions studied in the USSR
(Dubna),.Italy, and USA (Berkeley), opening up new
avenues of research into the nature of the it -ir - inter-
action. B. M. Pontecorvo reported, in a number of
significant successes achieved in experimental tech-
nique, the development of a gaseous Cerenkov counter
with an index of refraction continuously variable from
1.00 to 1.23 (MIT, United States), and a hodoscopic
system with pulsed power supplies for polarization
experiments (Joint Institute, Dubna).
The most interesting data obtained on the world's
two largest proton synchrotrons, at Dubna and Berkeley,
were reviewed in reports delivered by Prof. E. Segre
and Academician V. I. Veksler.
Segre reported something rather new in experi-
mental technique: the production of enriched beams
of antiprotons (as much as one antiproton per accele-
rator pulse), by means of absorbers and magnets, and
especially by means of electrostatic separators. Ex-
periments using photoemulsions (in Italy and the
USA) have resulted in corrected values for the mass
ratio of the antiproton to the proton. This, mass ratio
is equal to unity to an.accuracy of t 116. The report
reviewed new data on measurements of interaction
cross sections (elastic scattering and annihilation
cross sections) of antiprotons with hydrogen, deuterium,
and carbon. Segre greeted the physicists of the
Joint Institute, where a team has produced an anti-
proton beam with a 2.8 Bev/ c pulse, and has begun
research work in this intriguing realm of physics.
The Chinese scientist Prof. Wang Hang-chang
(working currently at the Dubna Joint Institute) took
the floor in the discussion of Segre's presentation,
to demonstrate two interesting plates obtained in
work with a propane bubble chamber. These plates,
showed, for the first time, strikingly clear cases of
antiproton generation.
One of the most interesting reports was made by
Academician V. I. Veksler, and provided, for, the first
time, a systematic analysis of nucleon-nucleon and
pion-nucleon interactions at energies ranging from
1.5-2 to Bev.
Examination of the results of highly precise
measurements of elastic p-p-scattering at 8.5 Bev
(Dubna) and 3 Bev (Berkeley) demonstrated the
existence of what is termed potential scattering, i.e.,
leads to the conclusion that the scattering amplitude
at high energies is not a purely imaginary quantity,
as would follow from the optical theorem. These
results were made possible by a new research tech-
nique, in which photographic plates are placed at
right angles to the accelerator beam (a practice ini-
tiated at Dubna), allowing a shift of as much as
0.2? in the laboratory system or coordinates.
An analysis of experiments on inelastic zr-ir-
and 7r -n-interactions carried out at energies of
2.6 and 9 Bev by the Berkeley and Dubna groups
shows an important discrepancy between the empirical
data and predicted statistical theory, and leads to
an understanding of the existence and prominent
role of peripheral encounters. With the aid of an idea
advanced by Academician I. E. Tamm, these encoun-
ters are associated to concepts of single-meson ex-
change where one or two isobars appear as a result.
The essentially new approach contained in Tamm's
suggestion is that by making the assumption of
single-meson exchange, it becomes possible to obtain
completely specified quantitative relationships bet-
ween the probabilities of different isotopic channels
of the reactions. Experimental results from peripheral
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collisions studied by the Dubna team show excell ent
agreement with Tamm's predictions. An examination
of empirical data on 7r -p-interactions reported by
the Dubna and Berkeley teams shows the totality of the
available experimental results to be at variance with
predictions of statistical theory for both low (^" 1.5
Bev) and high energies. The only model which is
evidently not at odds with the totality of all facts
reported on 7r -p- interactions in that energy range
is the model according to which a high-energy pion
interacting with a proton results in a 6 -meson knocked
out of the mesonic shell of the nucleon.
As demonstrated by a phase analysis of elastic
7r -p-scattering, the mechanism underlying scattering
of this type at high energies ( > 2 Bev) is essentially
different from the elastic p-p-scattering mechanism.
For 7r -p-scattering as an example, spin interactions
are negligible, while.the scattering amplitude is a
purely imaginary quantity. A typical feature of 7r-p-
and p-p-scattering at high energies (2-10 Bev) is the
fact that the effective collision parameter determining
the magnitude of the interaction cross section is energy-
independent over a broad range of energies. In Veksler's
view, it would be important to tie up this quantity
with meson theory.
Questions related to investigations of the structure
of nucleons and checking the validity of quantum
electrodynamics at small distances were taken up in re-
ports by Profs. F. Hofstadter, W. Panofsky, and L. Schiff.
Hofstadter's report dealt with the results of experi-
ments on studies of proton and neutron structures,
performed by the reporter and his associates on the
linear accelerator at Stanford (USA). The basic prob-
lem encountered in studies of proton structure is the
determination of the phenomenological form-factors
Flp (q2) and F2p (q2), the first of which takes the
charge distribution of the Dirac magnetic moment
into account, while the second accounts for the distri-
bution of the anomalous magnetic moment. Both
form factors are independent functions of the pulse
aq transmitted in the event of a collision between an
electron and a proton. An analysis of the experimen-
tal data, adduced in the report, shows that Flp = F2p
within the limits of accuracy attainable (- 1516), and
that they are actually dependent on q alone. New
data from neutron studies at Stanford, based on the
method of direct determination of the difference
between the cross sections of quasielastic scattering
of electrons on deuterons and elastic scattering of
electrons on protons, were discussd in detail in this
paper. The results showed agreement with the fact
that F In= 0, F2n = F1p = F2p, where if we use some
model for the exponential distribution of charge
density and magnetic dipole moment in interpreting
the results, we get in = 0.8 ' 10-14cm.
V. Panofsky's report was most interesting for the
experiments proposed for verifying the validity of
quantum electrodynamics at short range. The necessity
for such verification arises from the fact that in inter-
preting experimental data on nucleon scattering of
electrons, we must presently assume that quantum elec-
trodynamics remains valid for all values of the momen-
tum transferred in the collision.
One of the proposed experiments is in the prepa-
ratory stage at Stanford University, and involves
scattering of electrons on electrons, based on the use
of the method of head-on collisions of electron beams
emergent from two separate annular storage paths.
A precision of - 3 To which is fully attainable in this
experiment makes it possible to approximate to the
elemental length 3 ? 10-15 cm. R. Wilson (USA) took
the floor in the discussion to tell of an experiment now
in preparation aimed at probing the structure of the
neutron, and based on a technique of recording coin-
cidences of recoil electrons and neutrons scattered
on deuterons.
Some theoretical problems underlying strong
interactions of common particles were discussed in
papers presented by Prof. G. F. Chew (USA) and
Prof. Ya. A. Smorodinskii (USSR). Smorodinskii's
paper gave a phenomological analysis of experiments
on nucleon scattering of nucleons (N - N) carried out
on synchrocyclotrons at Berkeley, Rochester, Cambridge
(USA), Dubna (USSR), Liverpool, and Harwell (Great
Britain).
These experiments are geared to a program
with the pace set predominantly by Soviet physicists.
Pointing out the fact that presently available data are
inadequate for a complete analysis of N - N -scatter-
ing, the reporter sketched a program of further ex-
perimental research work in clear outline. The report
emphasized the fact that the total available data on
N - N - scattering could not be described by a poten-
tial dependent solely on the coordinates and spins,
so that the potential must include the relation between
spin and orbital motion. It is therefore natural that
the results presented by Soviet theoreticians A. F.
Grashin and I. Yu. Kobzarev, who computed the spin-
orbital interaction potential from approximate disper-
sion relations, stimulated much discussion.
Chews report dealt with a new approach to the
problem of strong interactions between ordinary
particles, based on the binary dispersion concepts
advanced by Mandel'shtam. According to that con-
cept, all three reactions, N - N -, 7r-N? 7r-7r -inter-
tions, may be described by means of a single analytic
function,. while the behavior of the analytic function
over a small region of the complex plane is deter-
mined principally by the closest singularities, accord-ing to the assumption of Mandel'shtam and Chew.
The problem reduces to finding the functions having
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the required singularities, which in turn calls for
a solution of complex nonlinear integral equations.
The solution of this problem must be reduced to the
fact that the amplitudes of the processes will be
expressed in such parameters as interaction constants
and masses. The hope remains that the mathematical
tools developed will make possible a description of
nuclear forces as far as to the core of the nucleus,
and right up to an energy of 1 Bev for 7r -N- and n -7r
scattering reactions. The discussion on Chew's paper
was devoted in the main to questions concerning the
possibility of measuring it -ir -interactions, with
Prof. D. I. Blokhintsev, V. N. Gribov (USSR), Prof.
E. L. Lomon (Canada), and others taking the floor on
that point.
Questions related to the production of strange
particles and their interactions were discussed in the
plenary session chaired by Prof. Wang Hang-chang,
and in reports presented by Professors J. Steinberger,
L. Alvarez, and A. Salam.
Steinberger's report, devoted to the formation of
strange particles, had as its high point of interest the
data accumulated by a team under Prof. Alvarez, from
hydrogen bubble chamber observations of events
involving the formation of a neutral cascade hyperon
in an interaction between a K--meson and a proton,
of the type K--gyp--->5?+K?
Measurements demonstrated that the neutral
cascade hyperon decayed according to the decay
scheme E?->A?+n? , and had a mass,1326 f 20 Mev,
which fits well with the mass found for the negative
cascade hyperon, 1321 35 Mev.
The report delivered by Prof. Alvarez was based
to a considerable extent on papers treating K-meson
interaction experiments performed by his group with
the aid of liquid-hydrogen and deuterium bubble
chambers. In addition, the results of interactions
between K+ -mesons and nucleons, as well as data on
hyperon-nucleon interactions were dealt with. The
report furnished information on an increase in the
number of decay events involving A? -particles formed
in the K- + D -> A? + ir- + p reaction. This increase
showed that the apparent asymmetry observed about
a year ago in A? -decay is in reality a statistical
fluctuation, and that there are consequently no reasons
for assuming that parity is not conserved in strong
interactions in which strange particles take part. In
the discussion ensuing after presentation of the papers
on strange particles, the greatest interest was evoked
by statements made by Ting Ta-tsao, Prof. Wang
Hang-chang (Joint Institute), and M. Stevenson (USA).
Ting Ta-tsao took the floor to report some results
obtained by a team of research scientists at the Joint
Institute for Nuclear Studies bearing on the production
of strange particles in interactions between 8.6 Bev
it--mesons and protons. Wang Hang-chang demonstrated
an interesting slide of a plate taken in a bubble chamber;
analysis of the plate shows that we are dealing here
with what seems to be a new particle of mass 742 t 218
Mev, which disintegrates into a 7r+-meson and a K?
-meson. Stevenson demonstrated a plate obtained by
the Alvarez group where we see for the first time the
production of the A + A pair in an antiproton-proton
collision event.
Since the method of dispersion relations is the
principal theoretical research method used in studies
of interactions between elementary particles, a
separate plenary session of the Conference was devoted
to an analysis of that method, with D. V. Shirkov
(Dubna) and Prof. G. Lehmann (West Germany) report-
ing.
Shirkov's report discussed the theoretical aspects
of dispersion relation studies of the usual type (based
on the energy variable). Summing up the results of
work carried on during the past year, the reporter noted
that the year is characterized, on the one hand, by the
extension of the general methods of proofs of dispersion
relations to a large number of elementary-particle
interaction processes and on the other hand, by the fact
that the possibilities have been apparently exhausted
for discrete dispersion relation processes, at least in
their present form. It is therefore quite natural that
much attention should be given, precisely this year, to
a method for investigating the range of applicability
of dispersion relations by means of an analysis of
diagrams of the theory of perturbations.
The basic point driven home in Lehmann's presen-
tation involved problems in investigating the analytic
properties of scattering amplitudes with respect to
transfer of momentum and questions relating to binary
dispersion concepts. These concepts apparently consti-
tute a very promising and bold hypothesis, but for now
it isstill only a hypothesis. It is therefore to be expected
that many discussions taking place at the Conference
would be devoted to various justifications for these
concepts. We refer here in particular to the discussion
between the reporter and Academician L. D. Landau.
One of the sessions of the Conference, under the
chairmanship of Academician I. E. Tamm, was devoted
to new theoretical ideas advanced in the field of
elementary- particle physics. Interesting reports were
presented at this session by Academician L. D. Landau,
Prof. M. A. Markov (USSR), Prof. W. Heisenberg (West
Germany), Prof. I. Nambu (USA), Prof. W. Thirring
(Switzerland), and others.
Problems in strong interactions were dealt with
in review reports presented by Academician A. I.
Alikhanov (USSR), Prof. D. Glaser (USA), and Prof.
R. Marshak (USA).
Alikhanov's presentation was devoted to a consi-
deration of decay of nuclei, p-mesons, and 7r-mesons.
The most substantial event registered since the last
conference was, as noted in the report, the elimination
of the last explicit contradiction marring the universal
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theory of V - A-interaction (Gell-Mann; Feynmann,
Marshak, Saunderson), by discovering IT -6- decay in the
approximately correct relationship to conventional
it-?-e-decay.
The report provided a painstaking analysis of the
accuracy of the experimental proof of the two-com-
ponent neutrino theory of Salam, Landau, Lee and.
Yang, invariance under time reversal in weak interac-
tions, and the universality of the Fermi interaction
constant, which is uniform to an accuracy of 2-31o
both in the process of B -decay of nucleons,i.e., strongly
interacting particles, and in the decay process of the
muon.
It is a well-known fact that decay of strange
particles proceeds very slowly, and represents a typical
weak interaction. Glaser's report was devoted to this
question. A theoretical treatment of the problems of
weak interactions was furnished in Marshak's report.
After these presentations, a lively discussion ensued.
Of particular interest were the remarks made by
Prof. V. Telegdi and J. Steinberger. Telegdi gave an
account of experiments investigating K-capture of
a 11-meson by a nucleus of nonzero spin, and stressed
the point that the spin of the p-meson could be
computed directly from the experiment performed by
the Dubna team (A. E. Ignatenko et al..). Steinberger,
in his report, told of an experiment in which the parity
of the Tr'-meson is determined directly. Experiments
carried out with the aid of a liquid hydrogen chamber
have confirmed the pseudoscalar nature of the it?-meson.
The concluding session of the Conference was
devoted to nuclear processes at exceptionally high
energies. Experimental results obtained by means of
cosmic-ray research were the theme of a report.. delivered
by. Prof. C. F. Powell (Great Britain). These results
had been discussed extensively at the International
Conference on Cosmic Rays convened in Moscow in
July, 1959. Theoretical questions concerning multiple
production of mesons at extremely high energies were
discussed in a report by Prof. E. L. Feinberg (USSR).
Concluding remarks at the Conference were
delivered by Academician I. E. Tamm. In the name
of the International Union of Pure and Applied Physics,
the chairman of the Committee on High-Energy
Physics of that body, Prof. C. J. Bakker, expressed
his thanks to the organizing committee for their
splendid job in preparing and expediting the work of
the Conference.
A number of seminars were held during the Con-
ference for the benefit of persons working in of the
various fields of high-energy physics: a theoretical
seminar, a seminar on bubble-chamber techniques,
a seminar on electron accelerator experiments. In the
course of these seminars, and personal encounters,
those in attendance at the Conference had the oppor-
tunity to discuss in detail the problems of greatest
interest to them, and to share information on future
research projects.
The Conference was a great aid to the. cause of
strengthening international collaboration between
scientists.
The proceedings of the Conference will be pub-
lished by the USSR Academy of Sciences Press, in
the form of a special collection of papers.
THE SECTION ON ATOMIC SCIENCE AND ENGINEERING
AT THE AMERICAN EXPOSITION IN MOSCOW
The United States Exposition was open to the
public from July to September, 1959, in Moscow.
The atomic science section took up a very insignifi-
cant amount of floor space in the exhibition, and ref-
ledted superficially, and in general outline, the work
of American scientists in the field of atomic energy.
The sponsors of the exhibit were apparently
of the opinion that a detailed account of problems
touching on the use of atomic energy in the USA
would be of no interest to the man-in-the-street visitor
to the exhibit. This was not the case, however, as
borne out by the large number of inquiries on the
subject voiced by visitors. It is most unfortunate that
visitors to the exhibition, including Soviet specialists
on atomic energy, could not find on display any
material in any way fully reflecting the achievements
of American scientists in the field of atomic energy.
There was only one model on display in the entire
atomic section of the American exhibit, that being
a model of the atomic-powered cargo and passenger
vessel "Savannah." At the present time, superstructure
work and finishing touches are underway with the hull
of the vessel already launched, and the ship will be
ready for its maiden run in the summer of 1960. This
section of the exhibit reflected only three types of
work in the field of atomic energy: experimental
reactors, power reactors, and radioactive isotopes.
Photographs showed the reactor of the Shippingport
power station, the portable boiling Mater reactor of
the ALPR project, the organic-moderated and organic-.
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Crowd viewing
a model of the atomic-powered cargo and passenger vessel "Savannah."
cooled OMRE power reactor, the materials testing
reactor MTR, the Brookhaven research reactor and
the reactor of the Dresden power station. One could'
learn from the stands and diagrams that 15 atomic-
fueled power stations, delivering a total power output
of 1000 Mw, are presently being planned in the USA,
and that the number of reactors of all types has
reached 200.
A relatively large area in this'section was occupied
by the radioactive isotopes and isotope applications
exhibit, primarily in medicine, biology and agriculture.
However, even this topic was dealt with in a very
cursory and schematic fashion.
Several photographs showed examples of American
assistance to the Federated German Republic (West
Germany) in building the research reactors at the
Frankfurt and Munich Universities.
ANNULAR FIXED-FIELD I STRONG-FOCUSING ACCELERATORS;
The need for increased output current in cyclic
accelerators has put a premium on the most rational.
exploitation of the advantages of time-invariant
magnetic fields in such machines.
Existing cyclic accelerators of the cyclotron and
synchrocyclotron types, while providing very high beam
intensities, are beset by the sizable drawback that
the size, weight, and cost of the facilities limit the
peak proton energies attainable in the machines to
< 1 Bev. The use of annular magnets of the synchrot-
ron type has proved unfeasible because of the instabi-
lity of the motions executed by the-particles: "Actually,
in order to keep particle orbits within a narrow annular
region upon acceleration, the magnetic field in,that
region must'be increased 103-104 times. Recourse'to?-1
an axisymmetric field is no solution, since this runs'
counter to the well known stability condition 0 < n