SCIENTIFIC ABSTRACT SMORODINSKIY, YA. - SMORODINSKIY, YA.A.

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• Collection: Scientific Abstracts
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• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

TbMF7 of WGIMAW d Pok" by pegiiiiiii. L LAII(LAU And
SnLecodmiald 4j. ftysics U.S.S.R., 1944,9,154-162).-The theory
to worked out on the assumption (cf. Bethe and Pcicrlq. A , 1935,
279) that the non-Coulomb forces betw-n two protons can Iv
allowed for by a change of the boundary condition for the wavr.
function at the origin. Analyms of the rx perimental data en.0irs
the l,oundary condition to be hxed, and it so Shown that the relult
prohilots any stable level for a diproton. 11. J. W.

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1 Ei, i. k . zli. .
I !
- Concerning the Formil-da f or the isotopic Shift," Journal of Physics, llc.,l. 11,1,
No. 5, 'L,,1). 41r-j-21, 1946.

13 VO
USSR/Neutrons - Scattering Feb 1947
Protons - Scattering
"The Scattering of Neutrons by Protons, II," J.
Smorodinskiy, 2 pp
"Jour Physics USSR" Vol XI, No 2
A letter to the editor expanding earlier remarks on
the subject, including the modification of the usual
Wigner's formula for the scattering phenomenon.
13T90

Theory of scattoring of neutrons vy protons Y4 Smom-
nikil. Zhisr FAvP(I Tewrl. Fj:, 17. SM ~!fl,it7 , if
t. . 39, ~tr.Al; 43. 73~tZl ~ - The f(ittauLt af Wilcitur bw t tic
ateting cri- Of j)llbtMl% IM"IlIXIT114tj IIV 11,11IM114
ri.1-A-1. For rlivrxic, twt~vca i frm-nolt 4 1
c v ind #1 tn.c 1, gtxxf ajervement with vxtill r,-,tjlt* k
by a - I 3t, 13 if 1. ft.w E 1F 1 F
4) 06 E)z 4- fF,'2)1 ' Y It)-" q cm F If %turviv

Formula for ibe isotopic shift. Ya SinmodmAil 1 Ar~sd
.14ci. t' S SR., Zk.'. EbP11 FA. 17, Ito I ti
(19;7, -The i,otopic Atilt in the 'prora of br.tv 'v .1toin, 1,
i I eri% vt I in a fort it morr accurate than the ftntnu Lt., of ft'i-u-
thAl 4nd Breit ~ C A - 26, !AW0 anti RArah ( C .1 26. 3VII ~
by the tnvth~l of ptmturIxition of Imm-farv Loittlitiot-
I he fit'A eitin-wil differ, from thm of R by the Livi,q
I +- 20, ( 1 4 + heie 01 - I - (Z" A.
1- 1 '. tw light Itudel. (he fit-% ("rititti.1 .1,1.1 th.'r
R -~utwitle. 1--r I Ig. the nv.. fimmula givt' .' hilt 1) .4 1 4.a
91%.411 liv the formula of H. N j h."I

,TvfCT,.CDII.'3FIY, -7A.
USSR/Nuclear Physics - Wave Meebanics Apr 1948
Nuclear Physics - Deuterms
"Normalization of the Wave Function of the Deuterm,"
Ys. Smorodinekly, 2 pp
"Dok Akad Nauk SSSR, Nova Ser" Vol. LX, No
Descxibes the calculations to the integral
necessary for the normalizatim of Bett's, and
Feyerl'sm approximation of the wave functim of
deuterons:
Submitted by Academician L. D. TAndau, 17 Feb 1948.
Pil
an 62M

SMRODINSKIY,
a IA. A.
USSR/Physics - Spectroscopy Nov 49
Electron
"The Displacement of Terms of Hydrogenlike Atoms
and the Anomalous INIagnetic Moment of the Elec-
tron," Ya. A. Smorodinskiy, 4 pp
"Uspekhi Fiz Nauk" Vol XY=, No 3
Obtains approximate expression for the energy W
of a hydrogenlike atom calculated according to
relativity effect. Hence the deviation of
theoretical spectral terms from experimental ones
is found. New high-accuracy superfine structure
now known thus permits one to test Dirac's elec-
tron theory.
]m 153T96
PA 153T-9 -6

,%TCRCDINSK:[Yt Yr,. A.
USSR/Nuclear Physics - Mesons Jun 50
"Artificial Tf-Mesons," A. B. Migdal, Ya. A. Smorodin-
skiy
"Uspekh Fiz Nauk" Vol XLI, No 2, Pp 133-153
Discusses artificial production of ly-mesons using
Berkely cyclotron in 1947. Lists only four Soviet
sources, all for the introduction on varitrons.
i68T61
168T61

Yq. 17
USSR/Physics Proton scattering FD-750
Card 1/1 Pub 146-20/22
Author Smorodinskiy, Ya. A.
Title Polarization during scattering of protons by protons
Periodical Zhur. eksp. i teor. fiz., 27, 123-124, Jul 1954
Abstract Letter to the editor. Study of polarization is a very sensitive
method for determining variation of cross section with varying
incidence angle. aperimental data obtained by C. L. Oxley
(Phys. Rev. 91, 119531) is used in this analysis. 2 US references
Institution
Submitted April 27, 1954

USSR/Nuclear Physics - Proton Interaction
Card 1/1 Pub. 146-15/20
FD-1492
Author Baz, A. I., and Smorodinskiy, Ya. A.
Title Interaction of protons with H3 and excited states of the alpha-particle
(Letter to the editor)
Periodical Zhur. eksp. i teor. fiz., 27, 382-384, Sep 1954
Abstract Analysi s of the H3 (p, n) He3 reactions is carried out,, in particular,
the analysis of the results obtained by H. B. Willard eit al. (Phys.
Rgv. go, 865 (1953). The improbability of the existence of a stable
H , is indicated. One aforementioned reference.
Institution
Submitted April 27, 1954

I'M
ULMWPhyaics Neutrinos
Card 1/1 Pub. 118 - 1/8
Authors : Zelldovich, Ya. B.; Luklyanov, S. Yu.; and SmorodinsIdy, Ya. A.
Title : Properties of a neutrino and the double -decomposition
Periodical : Usp. fiz. nauk 54/3, 361-404, Nov 1954
Abstract I Exnerimental and theoretical studies of neutrino properties (indivisibility,~
evenness suin and mass) are descr-lbed. The reactions (n-~p + e- +-band
p-->n ~ e1 +'))) leading to the formation of neutrinos are analyzed in the 1W
of the quantum theory ,-rith apnUcation of Pauli's matrix transformations for
the Dirac equation describing the wave function(~I, The probability of a dod,ge.
P -decomnosition (5imultaneous formation of 7 *&~/) is theoretically establish
ed and experiments performed by various investigators with the help of analy-,
zers and the method of scintillations are described and analyzed. Thitty~--nine
references 3-USSR (1935-1954). Tables; graphs; diagrams.
Institution
Svbmitted

LANDAU, Lev Davydovich; SMOROPI~*JUY, Yakov Abramovich; ALEWSEYEV, D.M.,
redaktor; GAVRILOV, S.S., tekhniciff6skik redaktar.
[Lectures on the theory of the atomic nucleus] Laktsli pe teorii
atomnogo ladra. Moskva, Goa. izd-vo tekhnike-teoret. lit-ry, 1955-
140 P. (Huclear physics) (MLRA 9:4)

FRAMLI, Ya.I.; SMORODINSKIY, Ya.A., profe-tsor, redaktor; FEVZMER, R.S.,
~
[Principles of the theor.- of atomic nuclei] Printsipy tacrit
atomrqkh iadar. 2-e izd. 14oak-va, 1955. Izd-vo Akademii nauk SSSR.
1955. 247 P. (MLRA 8..q)
(Nuclei, Atomic)

~
41 r7
of daubli
eca
Theo
3'~
VArnorodimki B0. A--ad. Set.`
Y
r -3:37(Pn5j(Enzl. tranitation
t.. 'A
en
S.S,S.R~, Ser. Ri. 10, 365-76(1955).-The matrix t
for the transition of 2 uutleoni in 44 was comput frora
l
~
ni
ti
shel
theory. Only ground state to ground state tra
ov
i
i
:
"
h
f
i
wer
, considered in the calcns. T
e effect
o
interaction (
f
the 2 nucleons with the cord was taken into ieconk by, thez
'
intrqduction of a correction factor.. On.the buis ofA4i
'
independent particle model the nuclear matrix elements
Or
scalar and tezsor Interaction were computed for transitions I
to the stat and U States I and. IL are,

-0, 0 T-~ 0, T "s e Otop%01
x and 11 th is
J

'
s1 in.. Also the'half~:um of 5;e mAtrix elemen
01
~
tions to the 2 states with s 4 was evaluated
h i
struction of the wavL-functftocs, thenormalizAtion, and th~-'
-computation of the 2 matrix elements are, given in deta!L~I
It is found that the most probable value of the square of thelf
;~j
l
l
2
d th
lif
6i do
b1
i
d
l
ti
0
u
e
ient
s
an
e
e
nuc
ear matr
x e
.
me f
e A
decay is TIA 0.6 X- 10m yr., lor 4.3-Te.V.
energy.
ILL

USSR/Nuclear physics Isotopic spin
Card 1/1 Pub. 118 213
Authors I Vyazll A. and Smorodinskiy, Ya.
Title Isotopic spin'of light nuclei
Periodical I Usp. fiz. nauk _55/2, 215-264, Feb 1955
Abstract I A theory of the isotop.ic spin of nuclons (proton or neutron) is presented.
The presentation is not given.in a strictly mathematical manner, but,
rather in a plain descriptive form. This was done to Justify the charge
invariance hypothesis introduced Into nuclear physics for explanation of
certain observed phenomena. The theory of isotopic spin of nuclei is
considered as the simplest and easiest method of proving the mentioned
hypothesis. A description of the energy levels cf light nuclei (A< 1.-0),
with correspon.,,ing diagrwis end their analysis in the light of the isotopic
spin theory is presenteu. Twenty-six referenceE. 6 Uaa, 14 USA, 4 Brit..
1 German and,l Italian (1952-19-54). Diagrams; graphs.
Institution i ......
Subadtted . ...........

Fix. Iva uk 50, 201--14(1956): cl. preceding a ljStr.--tjLj
The expd. results described previously for nucki of low at.
IVI, tire analyzed. The value of R, wIllch cliarauterixes, thu
mixt. or the tennor and scalar variants in tile finjuillonian
forttte#-(Ict:otnpii.,isgivrna~1.7. Thhvahi!iscompared
7with values reported earlier. The half-file tit tile neutron,
(n - p + 0) wilb this vuluc of R, i3 tO.2 ;1- 0.5 min. The
"nalysis of the dola for light micic-I shims thm tlwo~ Is prL-
doolinant evideme for tile MICH 'tilmure (if muQlvi-

(/The dtmmiou3 of nud eons. Va Stnorodinskil. ui~dhij
Pit. NeukS6,4W--8(l955).-0n th; basis of literature data,
61S. shows that the nucleus Is comparativtly empty and that:
tht UUCIPUS OCCUPY QUIT 1/40 Of its total VOl- R--

5NO90D I NSK /~.j
ussol Nuclear physics
Card 1/1 Pub. 22 - 18/46
Authors j Ryndin, R. and Smorodinskiy, Ya.
Title I6imilar transformations of nonpolarized particles
Periodical jDok. AN SSSR 10311, 69-71, Jul 1, 1955
Abstract jStudying the dispersion of nonpolarized particles with nucleons, the author
determined the amplitade of the dispersion up to the precision of the sign
before the operator n, i.e., he reached the same precision in the
determination of the amplitude or the cross-section of a dispersion, as
M-Inami did in his determination of the 7r-meson dispersion by nucleons
(polarized). Both the author and Hinami proved the invariance of - the anpli-
tude of dispersion. In the above mentioned operator n, the n is a single
Vector normal to the plane of dispersion K x K Two USA references
(1950 and 1954). n =IK--x 'KO
0
Institution : The Acad. of Sc., USSR, Institute of Nuclear Problems
Presented by: Academician L. D. Lindau, March 24, 1955

Va
corriefaiffo-u for the planes of dWe-nmnallitift" Af V9 Wife
-i/-aund e spin of log 9 tneson., D.,IPuzikoy and Ya. A.
1,
Sm,j Voklady- A ", . a.a.A _i ~-
!IiIISkiL kad Ira . 104,
(1065).-Math. The following conclusions are drawn:-
The presence of correlation. requires that the spin of AD be
largc (;-?, 7/2); the spin of JO be different from 0; and that
the spin of tP be mucif smaller than thespinof,10.
Rovw Leach hr(\ Z~I

SJBJECT USSR / PHYSICS CARD 1 / 2 PA - 1730
AUTHOR SMORODINSKI~,~A.A.
TITLE W4
-Th'U-Prubtem-a-of---the-Physics of Particles -th High Energies dis-
cussed at the Symposium of the European Center for Nuclear Re-
search (CERIT) at Geneva. (Impressions gathered by the Delegate
from the USSR).
PERIODICAL Atomnaja Energija, .1, fasc-5, 140-1jJ2 (1956)
Issued: 1 / 1957
According to the author's opinion outstanding success was achieved in the
following 4 directions: 1) Discovery and investigation of the properties of
the antiproton. 2) The scattering of electrons by a proton and the structure
of the proton. 3) Scattering of photons by protons. 4) n-mesoatoma.
Anti2roton: The discovery of the antiproton confirms the charge symmetry of
elementary particles. At present a search is already being made for the anti-
neutron and for the antihyperon, i.e. the neutral A -antiparticle as well as
the positive and neutral -antiparticle. A whole family of T_ -antiparticles
seems to exist. According to the first measurements of the interaction between
the antiproton and Be- and Li-nuclei, the corresponding interaction cross
section is double the cross section of the interaction between a proton and
these nuclei. This applies in the case of 400 MeV-antiprotons. This paradoxi-
cal result necessitates further research work.
Scattering of Electrons by Protons: (HOFSTADTER and CRAM ERS, Stanford Uni-
versity, USA). Experimental difficulties arising in connection with the

USSR PHYS1 c,;
Pit
C A RD 1 1446
(,OLU!U! KOV, V. N. , STMODINSKIJ , J A. A -
T T T L The LAG RANGIAIN for the Systems of Uniform Cnarcefl Particles.
I P~-.,Rl ODIC A1 2urn.ek sp.i teor.fis,31,fasc.2, n
330-330 (1,`-
Issued: 10 / 1956 reviewed : 10 1 9 5 0
19 2 0 i 3 n c r -, F i1 e t o -,,; r i t F- d o Tiv n t h P
Accord' nE t o C.DAKVIN, Phil 537,
L-'GR-2'G!kN for a system of charC.-ed particles with - 'n accurac, extenrlinE up to
t1-,- terms of second order .villh resDect-to the ratio (velocity of particles /
Velocity of licht). 11ere attention is drawn to a possibility of determinine the
LLGRAIIGIATT for a system of uniform particles in hiE:her a-pProximation. In a system
c-;' uniforn particles (or more accurately: havir.E- the same ratio between charge and
I -
rn,,-~ss) radiation is proportional not to the third but to the fifth povier of v/0.
Therefore the LAGRANGIAIT can be written down for such a system ulj to terms v4/.4,
and the easiest method of computation is that described in the book by LANDAU-
LTFSIC.
The terms of the third order in the UGRANGIAN are equal to zero. Com-putation of
the terms of the fourth order leads to the follo-.vin6 additional expression added
to the LAGR IG .1 of the second order:
I! v~A: 2 - 11 1
4N a - - 2 2 2 2 2 2 2
)=_ - e 11 v V n v v + 11 v v
-- L ~2' a'b) -Vlavb+ a b b) a
16c4 81c' b R ab
2
2 e
)2(- -1
nv ri V n ~r v 2 n v
,v
a b) 2 a a --t
ac b a

AUTHORt PUZIKOV.L. jjYjjDT';,-- "OHOT -r
5- jINS..IY,YA, PA - 2976
TITLE: The SettinF up of a S!5a-UForing --atrix in a System of Two Nucleons.
PERIODICAL; (Zhurrial Eksperlin i Teoret Fiziki, 1957, Vol 32, Nr 3, PP 592-600
(U-S S.H )
aeceivedt 6 / '957 R~-.viewed: 7 1/ 1957
ABSTRACT& The present paper is destined to show what experiments are necessary
for the determination of all elements of th,a scattering matrix~ It
is further shown which of these experiments are independent in the
sense thaf in the case of known experimental results the matrix can
be completely construCted For the reasons of better illustration
the authors begin with the two most sim-ple ceases: scattering of
particles with spin zerc in a central field, and of particles with
spin 1//2 on spinless nucle-1 The scatterin.~ of nucleons or. nucleons
is then examined The case with any spin and tlrxe scattering of
photons are examined in later reports, The present paper is confined
to the examinaTion of the scattering matnx in the case of an assumed
energy Also the problem of the energy dependence of the matrix
elements require additional investigations

The scattering of spin-less particles: Ueasur-ing of the scattering
cross section in the case of an assumed energy i,s at all angles
a complete test in the sense that the complete construction of
the scattering amplitude is made possible (perhaps apart from the

UTHOR
ITLE
PERIODICAL
ABSTRACT
Catd 1/2
RYNDIN, R.M.,S1-'ORODIXSKIY, Ya.A. 56-5-~5/5,5
The Minami nsformatioFs 'lor the Scattering of Nucleons by
No-leons.
(preobrazoyaniya Minami dlya rasseyaniya nuklonov nuklonami-Russian)
Zhurnal Eks-jerim,i Teoret.Fiziki,1957,Vol 32,11r 5,PP 12ow-1205
(U.S.S.R.)
The paper under review shows the following; The transformation
of phases which leaves the scattering cross section inyariant-
this transformation having been demonstrated for the case of sca-
ttering of pions by nucleons-has no analogue for the case of sca-
ttering of nucleons by nucleons Although such a transformation
exists it is not sufficient in the light of thephysical conditions
of the problem. Is a matter of fact,the symmetry of the system re-
quires that the phases do not dpend on m(the magnetic quantum num-
ber of the system).But the phases obtained by the transformations
inyestigated here do depend on ImUnlike earlier expectations,the-
re thus does not exist any ambiguity of phases imilar to that in
a system with the total spin 1/2.Furthermoreltheauthors of the pa-
per limit their investigations to the examination of the scattering
of protons by protons, because the more general case of the sca-
ttering of neutrons by protons does not bring out any essentially
new aspects of the problem.
The amplitudes and the differential cross section of scattering:
This chapter contains a brief discussion of a methodfor the des-
cription of collisions between particles of the same kind haying
the spin 1/2.Tqi,_,; chapter also contains the amplitudes of the

On the Unitarity Relations fer, the Elastic
cf Particles wit' Arbitrary Spins. 56-6-19/56
normal I zat functions as the functions of the iii-
ciding wa-;-P. At r -> oo they form a romplste system of
furctionE with respect to the anSlp variabl-va. After
some oomputtinS the required int-egral relation -for the
scatterir.6~ matr~,x is obtained. He reform there follow
intee,ral relationa for the :)f the
develo men' aocordin~~ to the I.nv~ _,nt spi.n. matrices.
Also a generalization of ti-, theorem for
particles with a spin 'that is .1ifferent from zero is
obtained:
4
4 n im Sp M (ki k) = k (2 6 + 1) (2 .3,
(No
AS'SOCIATION: United Instiiuta for 'Nouclear Regear::h,
(0b "yec~kr,~~onyy instit,-z' yade-nykh issledivanily,
R-u s San)
PRESENTED BY: -
SUBMITTED: 2 0. 9 r, 7,
'VAILA3TL-_-: LL'brar5- -,f Co-i_-ress..
CARD 2/2

BAZIP A. I.Y and SMORODIB31M, 1. A.
"Sur la Possibilite de Detection du Dineutron."
report presented at the International Congress for Nuclear Interactions (Low Energy)
and Nuclear Structure, Paris, 7-12 July 1958.

A -JTH OR. Smorodinskiy, Ya. A. 89-1-22/29
TITLE: The Conference of Yu,,oslav Physicists (Kor"erentsiya yugoslavs-
kikh fizikov)
P&HODICAL: Atomnaya Energiya, 1956, Vol. 4, Ur 1, pp. lo2-103 (USSR)
ABSTRACT; The II. Conference took place in the Summer Of 1957 in form of
a "sunimer school" and was this tiLe also attended by foreign
physicists. The following lectures were held:
1. The Coulotab excitation of levels and the nuclear collective
model (B.Motellson,Dermark)
2. An optical nuclear model (Ch.Porter, USA)
5. Dcuteronreactions (stripping) (A. Messiya, France)
4. Photo-nuclear reactions (K. Volldermut, Western Germany)
5. The- scattering of high-energy nucleons (Ya.Smorodinskiy, USSR)
0
Besides these principal lectures also evening seminars
were held. One of them was devoted to the present stage of the
13-theory.
Immediately after thc conference had ended, the research centers
of Yugoslavia were visited: 1. The Institute "Boris Kidrich" at
Bel,~rac'14 where a reactor is at present being built.
2. The Institute "Ruder Boskovich" at A',-ram, where a cyclotron
Card 1/2 is at present bein, built. (Deuteron enerey of up to 16 MeV).
c.

AUTHOR: Smorodinskiy, Ya. A. SOV/56-34-5-47/61
TITLE: The Analytical Nature of the Nonrelativistic Scattering
Amplitude and the Potential (Analitichnost' nerelyativistskoy
amplitudy rasseyaniya i potentsial)
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1958,
Vol. 34, Nr 5, pp. 1333 - 1335 (USSR)
ABSTRACT: As is known the amplitude of the scattering of a particle in a
central force field in the case of given angular momentum cannot
be continued analytically into the upper semi-plane of the
variable k. A reference to a proof of this assertion, which
is connected with an inverse problem of the scattering theory
is interesting. For the sake of conciseness it is assumed that
the bound states are missing and that the scattering takes place
in the s-state. The generalisation of the problem then is obviOUB.
According to V.A.Marchenko (Ref 2) the solution of the equation
d24,(x,k)/dx2 + (k 2 - V(x)",(x,k) = 0 in the form
Card 1/3 .(x,k) = 9(x,k)+ A(x,y)T(y,k)dy can be represented by an

The Analytical Nature of the Nonrelativistic SOV/56-34-5-47/61
Scattering Amplitude and the Potential
integral according to the system of the functions
T(y k) = (2/n) 112 sin r-ky + 6(k~-. 6(k) denotes the scattering
phase known from experiments. In this equation A(XIY) has to be
determined from an integral equation the kernel and the inhomo-
geneous term of which can be expressed by the Fourier(Fur-lye)
component of the scattering amplitude M(k) = exp f_2ni6(k)~ - 1:
M(z) = 0 '/27E) M(k)e ikz dk (at z0). If the scattering is
described by a-"potential the amplitude either has a pole or it
increases in the case of k k> 0) faster than a poly-
nomial. If the potential is limited in space, Mx) - Oat x~ a)#
m(z) becomes equal to zero at z"-2a. If the scattering amplitude
is known for all energies the function g(E) - Y,(E,t ) - VrAx
can be continued analytically into the complex plane E (or into
the upper semi-plane of k) and for this dispersion relations can
be written down. If the scattering amplitude is known the
potential is determined from the amplitude without solving of
integral equations. This assertion only holds when the scattering
Card 2/3 amplitude is known for all energies. There are 4 references,

The Analytical N.ture of the Nonrelativistic SCV/5 6-.5/4-5-47/61
Scattering A-mplitude and "he Potential
2 of which are Soviet.
ASSOCTATION: Obl'yedinennyy institut yadernykh issledovariy (United Institute
of Nuclear Research)
SUBIJITTEO: January 24, 1958
1. Particles-Scattering 2. Particles-Mathematical analysid
Card 3/3

,~ 6-3
AUTHORS: Kagan, Yu. L., Smorodinskiy, S " V1 :)
TITLE: '-,n.the '.nisotropy of the ven tomagne tic Effect
k"jb anizotropii che-unogo _oto~a,~.nil;rlouo ef~'fuktp_)
PEERIODICAL: Zhurnal ekspe-imental",oy i teoret.,~cheskoy fiziki, '1958,
Vol. 54, Nr 5, PP. 1346 - 1 '2j ;' 7 ( U S', i )
ABSTRACT: Fikoin and Byirovskiy recently in the investigation of the
even photomaez-rietic effect in semi conduct-ors writh a cubic
!attice discovered clearly expressed anisotrozy phenomena.
This paper gives a purely phenomenolo6-ical deszription of
the character of this anisotro,~Y. "Ihis -aroblem is character-
ized by three factors: The magnetic field strength 7, the
interior normal n of the illuminated surface of the semi-
conductor alonx- -,-h-ch the d-iff-usion of" the liberated
carriers ta?e3 place, and the -electric field strength E.
The ma;--netic field is assumed to be sufficiently wea]k.
Then with an accuracy to square terns (with regard to
the Eeneral expression
F dowr
L n + 7 n H + L lmn i can. be writter.
-i ik k ikl k 1 ik 01 In
Card J./~ Furthermorej the Cartesian system of coordirates is assumed

1 ~16 i
On the Anisotropy of the ~,ven Pholomagnetic Effect
to coincide with the axes of the cubic crystal. The ex-
pre ss i,~;n for car, be tTansformed to the form
2
_i.. -2 L -'.,n H,,
+
n + L,,e,,,,n,,--il +J, n H n
A
LX 2--A (underlined indices are nct tc be
summed u-). The first term in t*--is exDresslan corresponds
with the DIP-mber el"fect (Ref 4), the second term with a
certa`n phatomq~-,Ieric efrect, ard the th4-a tenm ;es-:~r-bes
the e,r-- effect; in -.!,,at form as it occurs in
an isotropic semiconductor. The las-~ term Ircicates an
anisotropy in 'he case of an even paoto:-,aCne-,ic effect.
""Y,en h i c
., -, 1?, the isot oDic share -of the ever. phc.,toma-E;ne,~L
effect vanishes. 7inally the expression of the magnetic
field is wr-*tten do-,-.-n Por the special case t-at I? aErees with
-e b relerences
the ma-n dIa-,--onal axis. ..ere a: 4 of which
are
SUBMITTEWD- Februar.- 21, 1~9~8
Card --Z:l
I=r7z

SMORODINSKIY, Y A.
"Elastic Nucleon-Nucleon Scattering up to 1 Bev."
report presented at the Intl. Conference on High Energy Nuclear Physics, Kiev,
15-25 July 1959 (the session on Strong Interactions of Ordinary Particles.)

Yl

F1WiK-KAMMiETa1Y, D.A., prof., otv.red.; VORONTSOY-VELIYARINOV, B.A.,
.'Za.A., prof., red.; ZELIMANOV, A.L.,
starshiy nauchnyy _S_otFu-Nft red.; SAGIOM, R.Z., m1ladshly
nauchnyy sotrudnik, red.; SAMSONENKO, L.V., red.izd-va;
SIFeNCH41KO, G.N., tekhn.red.
(Transactions of tile sixth conference on cosmogony; extra-galactic
astronomy and cosmologyj Trudy shestogo oaveshchaniis po vopro-
sa!,.t kosmogonii, 5-7 iiunis 1957 g.-, vnegalakticheskaia astronomiia
i kosmologiia. Moskva, Izd-vo Akad.nBuk SSSR, 1959. 273 p.
(MIRA 12:12)
1. Soveshchaniye po voprosam kosmogonii, 6yh, 1957. 2. Chlen-
korrespondent Akademii pedagogicheskikh nauk SSSR (for Vorontsov-
Vellyaminov).
(Cosmology--Congresses)

ij
ol A U Z,1 L I
A lh~ j-dg
;is a
4 IS 4t
A3
3
Dk
lp
1 -d
IH 101
44111
3 Ill 1: al
a
Hlu 3 Z -pill
so all,

q .1 1-". T kt4lrnb
-TI-0~1( (ass-in
-Pjj.-j2W
Ad
.-,.A.1 ... 01 Otj4
~-~L U
~7 7-
-4-ATT 'S C 'P--T%--
-qz
'IA
PM or
9
N-D .!-,I t~ ;0-.0j%.xT~jod
1.1j.A.-I .-;% U-j.q
TW77--- ~j P A-v .!4l .1
Ofti. ~d
t%T,
u
.1'..
T:ql
al 3yill ql
0l t%jAT%"p-,,
tia
v j~,t (lyl
'T*t-u P-130-P FUCT-.TTITDUO
;Lz- "rrZTi-
Te
P-27070
q. .-MI-I 00;
XI)
"T rl
z:/p (,P/z
=TH=qy
IT"laolud
SUIZ
'A-P~ii HoHj4y
(9) lz

2,1(5)
AUTHORS: Puzikov, L. D., Smorodinskiy, Ya. A. SOV/56-`---r5-54/76
TITLE: The Polarization Tensors in Born's Approximation
(Tenzory polyarizatsii v bornovskom priblizhenii)
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1959,
Vol 56, Nr 5, pp 1585-15a6 (USSR)
ABSTRACT: Various authors already repeatedly pointed out that the
polarization of elastically scattered nucleons, calculated
in first Born's approximation is equal to zero. in the
present "Letter to the Editor" the authors investigate
the polarization of particles with hi-her spin in Born:s
approximation and endeavor to derive a selection rule
for the polarization states. They use the example of
elastic seat tering on a reaction of the type a + a' --), b + b'
If JM and JIM' denote rank and projection of the polarization
tensors of the particles a and a', and if KIT and KIN' denote
rank and projection of the polarization tensors of b and bl
respectively, two relations are derived "or the coefficients.,
illli 1 M I
Card 1/2 from which the selection rule may be obtained: K~ NKI N' = 0

24(5), 21(a)
kUTHOR: Smorcdiaskiy, Ya. 5 0 -1 /5 b- 5 - 7 0 / 7 6
TITLEz The "Compiete Experinent" i, P- Decay
("Poinyy Opyt" V P- raspade)
11EHIODICAL.- Zhurnal eksperim-entallroy i teoreticheskoy fiziki, 1959,
Vol 36, Nr 5, pp 1606-1608 (USS11)
ABSTRACT: Together with Puzikov and Ryndin the author already
determined the necessary number of' experiments (the
"complete experin-ent") for establishin- the rucleon-nucleon
scattering matrix (Ref 1). The results have already beer,
generalized for particles of arbitrary spins (Ref 2) and for
inelastic processes (Ref 3). In the present "Letter to the
Editor" the author discuoses the generalizatica "or
P-decay; only the decay of the neutron, with the
+
P-interaction Hamiltonian Hr + Aj ( el t )19)
t5
is investigated, where V., and A,,.denote the nucleon
?$currents" (vectorial and pseudovectorial interaction).
These two quantities are explicitly written down as
Card 1/3 functions of the four-momentum, the wave functi,~ns, and the

The "CQ_-1;1'1i~Lt:! in P-Decay SOV/56-36-5-70/706
form factors, arid are discussed in detail especially
with. respect to the form factors. By these four functions
a(k) . ...... d(k) all properties of P-decay of the
neutron ii-iay be described. For each :-io-mentum value given
fc-ur experi;-ents are necessary in order to obtain
infurri,ation concerning P-decay. according to Geil-11'.ann
the two form factors a(k) and b(k) in the case of light
nuclei ccincide with those of electron scatterinE on
urctons of neutrons, i. e. in this case two form factors,
i. e. two experiments fur each given i-,iomentu:.., value will
be found sufficient if the data of electron scattering
are used. If charge invariance is disturbed, the number of
necessary forn factors in each case varies by one unit.
For the transition I' --)I11(nu) the number of form factors
in the expression for the vector current is 21 + 1, where
1 denotes the greater of -the two spins P and I", and
for the pseudovectorial current it is 21. In the transition
I--)-I' (yes) the corresponding number of the form factors
is I and 21 + 1i these fi6ures are, of course, equal to
the number of experiments necessary for the "complete
Card 2/3 experiment". The case of the forbidden transitions is

The "Complete Z~cp-.,rimientll ir, P- Decay SO'1/56- ~rj- 5-70/76
4.ien b,~,iefly discussed and it is pointed out that the
above considerations apply also to I-L-cal;ture. ThE authcr
thanks 21. Ryndin aud S. Bilen'k-ij for discussions. There
are 7 references, 3 of which are Soviet.
ASSOCIATION: Ob"yedinennyy institut yadernyll-lh issledovataij (uloint
Institute of Iluclear Research)
SUBMITTED: February 17, 1959
Card 3/3

24 (5)
AUTHORS: Golldanskiy, V. I.,Smorodinskiy, Ya. A. SOV/56-36-6-60/66
TITLE: Singularities of the S-Matrix and the ? 0-Meson (Osobennosti
S-matritsy i yc~-mezon)
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1959,
Vol 36, Nr 6,pp 1950 - 1951 (USSR)
ABSTRACT: In the introduction the authors discuss the possibilities of
detecting the existence of a second neutral meson (Yo) with
T = 0 and strAngeness, and also discuss methods which have al-
ready been suggested (Refs 1-6). In the following, the n p
scattering reaction at E
> 270 Mev is investigated; the scat-
7E
tering cross section is assumed to have two kinds of singular-
ities: a) singularities connected with the 4isobaric" state,
e.g. Tr+ + P-1- "isobars" (T - 3/2, 1 = 3/2); the S-matrix has a
pole in the complex plane, the cross section curve has the
known resonance shape; b) the production threshold of a new
particle e.g. n- + P4 0 ; (occurrence of a branching point
-Y + n
Card 1/3 on the material axis). In this case, which is further investi-

0
Singularities of the S-Matrix and the Y -Meson SOV/56-36-6-6o/66
gated, three kinds of discontinuities occur; "steps", "dips",
and "peaks". The latter have a smaller width.(order of magni-
tude 10 - 20 Mev) and a small probabilityq so that the observed
maxima with T - 1/2 at pion energies of 680 - 940 Mev (accord-
ing to D. Frish) were connected with a 30-production (30-mass
1200 and 1520 me). Another possibility of distinguishing be-
tween resonance- and threshold singularities is based on a com-
pariBon between interactions in systems with different isotopic
spin but with the same energies. An investigation of the magni-
tude of singularity makes it possible to estimate the upper
limit of the possible production arose section of the go-Meson*
The following holds:
L, E th
2 - thresh + 0 resh
( E _ ( 0+L)
(LE11 qE _-c'thresh dthresh
E = threshold energy, - elastic cross section. It further
holds that (k/4n)a (F_)/V_dTE7; k is the pion wave
Card 2/3 vector, 6Y the production cross section of the y -meson at a

0
Singularities Of the S-Matrix and the Y -Meson SOV/56-36-6-60/66
pion energy of E + C. These deliberations were made except by
the authors of this paper also by Pontekorvo et al (Ref 7)-
There are 7 references, 5 of which are Soviet.
ASSOCIATION: Fizicheskiy institut im. P. N. Lebedeva Akademii nauk SSSR
(Physics Institute imeni P. N. Lebedev of the Academy of
Sciences, USSR). Ob"yedinennyy institut yadernykh issledovaniy
(Joint Institute of Nuclear Research)
SUBMITTED: April 4, 1959
Card 3/3

1-6.8,-,00, 1~4.6000 -6992
SOV/56-37-6-32/55
AUTHORS: Bilenlkiy, S. M., Ryndin, R. M., Smorodinskly, Ya. A.,
Khe Tso-syu
TITLE: Theory of/3-Decay of 'the Neutron
PERIODICAL: ZhUrnal eksperiment'allnoy j teoret-Icheskoy fiziki,
j 0
- Vol '7, NP 6, pp _1758-17E3 (USSR)
1 Y) 1) , j
ABSTRACT: Calculations were performed fop corrections to various
effects in /3-decay of the neutron. The corrections
originated from t-he account of terms for the electron
and nucleon masses - m/M. These terms are due to the
Ilweak Gell-Mann magnetism" and proton recoil. It
was shown that for elect-ron-neutrdno correlation
and the Lip-down symmetry of electrons, these
corrections may reach several percent. Thus, the
correction for the (e- V)-correla'ion for 'he total
Card 11-3 energy of electron of 0.71, 0.91, 1.11, 1.29 mev,

Theory of/~-Dec-a.y Cf tl-=- Neutron
7 -
as corripensated for'%,ieak magnetism" and the recoil,
was, respectively, as follows: 0.4, !.4, 2.4, -3~-3%,
and 1.9,2.7, 3.5, 4.2%. The correction to the
asymmetry of electrons for the total energy of electron
0.7.1, 0.9.1, 1.11, 1.29 mev, as compensated.for'Weak
magnetism" und the pooton vecoll, was found to be,
respectiveiY: 1.3, 1.8, 2.4, 3.0%, and 0.3, 0.5, O.b, 0.8%.
Conrec'ions for the polarization were found to be small and
at energies of 0.71, 0.91, and 1.11 mev were, respectively:
C'.-'~' O.OS, and 0.0.7%, V. Telegdi participated in the
discussion of this work. There are 2 tables; aind 12
references, 1 Soviet, I Italian, 10 U.S. The 5 most
recent U.S. references are: R. P. Feynman, M. Gell-
L
Mann, Phys. Rev., 109, '93, 1958; M. Gell-Mann, Phys. Rev.,
11i, 362, 1955; J. Bernstein, R. R. Lewis, Phys. Rev..
112, 232, 1958; M. Morita, Bull. ~Am. Phys. Soc., 4, 230
D-'-', 1950-: S. Weinberg, Phys. Rev., 112, 1375, 19c-8.
ASSOCIATION: JoInt Inst. Nuclear Research, USSR (Obledinennyy institut
Card ItH

1.1, ~Mlt~?F :
SMORODINSKIY, Ya.A., prof.
Spatial structure of the atomic nucleus. Priroda 48 no.6:3-12
Je '59. (MIRA 12:5)
1.0b"yedinennyy institut yadernykh iseledovaniy.
(Nuclear phy-sics)

21(8)
AUTHOR: Smorodinskiy, Ta. SOV/53-67-1-4/12
TITLE: The Present Stage of the Theory of /3 -Decay (Sovremennoye
Bostoyaniye teorii /3 -raspada)
PERIODICAL: Uspekhi fizicheskikh nauk, 1950., Vol 67, 11r 1, pp 43-98 (USSR)
ABSTRACT: The author gives a very detailed survey, which, in parts,
amounts to a textbook, of the modern theory of
/3-decay. After a short historical introduction the following
problems are dealt with by separate chapters: The Dirac (Dirak)
equation, the two-component neutrino, the parity (P,T,C), the
possible kinds of /.3-interaction (Table), the spectrum of
allowed transition) and the electron-neutrino correlation, the
polarization of electrons, the decay of polarized nuclei (Table),
the polarization of the nucleus after decay and the ~ - r-cor-
relation, the theory of V-A interaction, and, finally,
experimental data concerning the nature of /3 -interaction
(absence of interference terms, ev -correlation, decay
constants, the conservation of the neutrino charge, the
helicity of the neutrino, the helicity of the electrons, the
decay of polarized nuclei, the correlation between e and
Card 1/3 r-polarization, the conservation of combined parity".

The Present Stage of the Theory of /3-Decay SOV/53-67-1-4/12
The material used is, for the greater part, taken from
Western publications. The following publications by Soviet
authors are mentioned:
Surveys: Ya. B. Zelldovich, S. Yu. Luklyanov, Ya. A. Smorodin-
skiy; nonconservation of parity in/3 -decay: L. Joffe,
A. P. Rudik, L. B. Okun'; L. D. Landau, I. S. Shapiro,
A. Sokolov, V. B. Be-gestetskiy, K. A. Ter-Martirosyan,
Yu. V. Gaponov, V. S. Popov, A. Z. Dolginov, V. V. Anisovich,
A. A. Ansellm, B. V. Ishkin, S. E. Nemirovskaya; basic
experiments not connected with the noonconservation of parity:
P. Ye. Spivak, A. N. Sosnovskiy, A. Yu. Prokoflyev, V. S.
Sokolov (lecture in Geneva 1955), A. N. Sosnovskiy, .
Yu. A. Prok9flyef (sic),, ' I. Ye. Kutikov, Yu. P.
Dobrynin (lecture in Geneva 1958~ half-life of the neutron:
11.7+0.3 sec.), N. A. Burgov and Terekhov (lecture in Geneva,19581-
ey -correlatioO; properties of the neutrino: 48
Ye. I. Dobroktstov, V. R. Lazarenko, S. Yu. Luklyanov (Ca has
no 216-decay); electron polarization: A. I. Alikhanov,
G. P. Yeliadyev, A. V. Lyubimov, B. V. Ershler, M. Ye. Vishnev-
Card 2/3 skiy, B. K. Grigorlyev, V. A. Yertakov, S. I. Nikitin,

The Present Stage of the Theory of /3-Decay SOV/53-67-1-4/12
Ye. V. Pushkin, Yu. V. Trebukhovskiy. There are 2 tables
and 222 references, 26 of which are Soviet.
Card 3/3

21(8)
AUTHOR: Smorodinskiy, Ya. A. SOV/53-68-4-3/12
TITLE: -Decay and Weak Interactions
P
-
( P-raspad i slabyye vzaimodoystviya)
PERIODICAL: Uspekhi fizicheskikh nauk, 1959', Vol 68, Nr 4, pp 653-662 (USSR)
ABSTRACT: This is the reproduction of a lecture held by the author at the
9. All-Union Conference on Nuclear Spectroscopy in January 1959
at Khar1kov. In it he gives a survey of the latest developments
(since Yang and Lee) in this field. In the introduction the most
prominent scientists working- in t"I.,is finid ,:~re listed (besides
Yang and Lee, Fermi, Landaa, Gell-Mani~, Teyiuian et al.), and
the results they obtained by invcst~~-atioas ar,~~ briefly
described. Next, the most simple case Cf muon decay is dealt-
with; the interaction Hamiltonian is -iv-, and 'he constant
characterizing 11 longi tudi nal" int-eia-t-inr 4--,- Aver. as amc-onting
10.02)."o-43 3 . In a similar aiLliner the fl_~ieaay
to (1-38 erg/cm
of the neutron is dealt wit1n, pr,; -49e-g-m3

is given. In the followinE, tlic- compares these fi--Inte-c-
Card 1/3 actions with the interactiDn betaeen nucleons and the

Decay and Weak Interactions
electromagnetic fieldy after which ~e passes or, to
processes with weak interaction (pion decay in electron and
neutrino, muon capture of tho neutron, fl-deoray of the !7-:--rons,
K-meson decay, etc.). He then passes on to the theory
interaction, and, proceedin.- from the ctla-rent equations:
j + + r P) +
+ o r e ) + rA) + r-L) , the follo~_J_~,g
valuable scheme is set upt
4+
k (~ r P)
e) V+9 vv+e
e+V+V V +/A--+ V +,,A
n-+p+e+Y P+'AA --* n + V
Brn) ^0 p+n--~p+n
I W-Ve+V ir --+ 1A + V
Card 2/3 IA-*p+e+v A--* P+& +p A+P--)~. A+-v
X-+ e+-%j K ---]~IA+ V I- .

P-Decay and Weak Interactions
SOV/53-68-4-3/12
This scheme is discussed. Finally, questions relating to the
nonconservation of parity and three kinds of experiments are
discussed, from the results of which an evaluation of the upper
limits of the possible admixtures of states may occur in the
case of the nonconservation of parity: 1) Measurement of the
longitudinal polarization of neutrons in their scattering by
nuclei at an angle of 00 (admixture --4-10-6 ). 2) The production
of pions by polarized protons, para'.'Llel and antiparallel to the
polarization vector (admixture 2.10-7 3) Investigation of
the disturbance of pa--rity -~t 1--l-,; ne -1, -e C-
(admi7ture
evaluations are discussed. llh-ro-
14 referenoes, 2 of which aTe Sovio"
Card 3/3

SHORODINSKIY, Ya.A., prof.
-- I ~. - -------
Antiparticles - antimatter - antiworlds. Prirola no.6:
15-22 Jo 16o. WrdA 13:6)
(Particles(Nuclear pbysicB))

SMORODINSKIY, Ya.A.; M TZZO-SYU
Rad,lative corrections in the processes of weak interaction.
Zhur.eksp.i teor.fiz. 38 no-3:100?-1008 Mr '60.
OURA 13: 7)
1. Ob-11yedinenVy Institut yadern7kh isoledovaniv.
(mesonip)

AUTHORS: Lebedev, R , Smorodinskiy, Ya., S/053/60/070/02/009/016
Tyapkin, A. BO06/B007
TITLE: The Physics of Blementary.Partioles
I I
PERIODICAL: Uspekhi fizicheskikh nauk, 1960, Vol 70, Nr 2, pp 361-374
(USSR)
ABSTRACT: The authors give a report on the International Conference
nn Mgb Fnergy Physic ,a held at Kiyev in July 1959. This
report is interesting above all because of the voluminous
material of the work carried out at Dubna (USSR). The Con-
ference was attended by about 150 delegates from Eastern
Block countries, and by about the same number from other
countries. As regards organization, the Conference introduced
a novel arrangement which essentially consisted in the fact
that "reporters" and "scientific secretaries" were attached
to the lecturers, and that the lectures could be heard in
Russian and in English. The secretaries were in all cases
well-known Russian physicists. Leading physicists acted as
chairmen of the plenary sessions; the Russian chairmen were LI/
Card 1/6

The Physics of Elementary Particles
Card 216
S/053/60/070/02/009/016
B006/BO07
D. I. Blokhintsev and I. Ye. Tamm, Two of the seven holders
of the Nobel Prize represented were Russians: I. Ye. Tamm
and P, A. Cherenkov. Apart from the surveying lectures
seminars were held,in which the following Russian lecturers
spoke: I. Ye. Tamm on "Diagram Technique and Field Theory"g
D. D. fvananko on the "Nonlinear Field- and Gravitation
Theory", V. P. Dzhelepov n "Nucleon-Nucleon Collisions", and
I. V. Chuvilo on "Bubble Chambers". The plenary sessions
began on July 20. In the first session Bernardini (CERN)
spoke. His scientific secretaries were A. Baldin and A. Belousov
(Moscow). The report on the lecture mentions the data obtain-
ed at the Fizicheskiy institut im. P. N. Lebedeva AN SSSR
(Pl,vaics Institute imeni P. 9. Lebedev AS USSR) -on the "Polar-
izability of Protons in (yp)-Collisions". B. Pontekorvo
(Dubna) delivered a lecture, which is discussed here in de-
tail, on "Pion Scattering by Nucleons and Production of Singl
PionB in Nucleon-Nucleon and Pion-Nucleon Interactions" 7

The Physics of Elementary Particles
Card 3/6
3/053/60/070/02/009//016
B006/BO07
(scientific Secretaries
-A,JhLkhin, Yu, Prokoshkin, and
Soroko (Dubna)). First, he gave a survey of new experimental
data contributing towards explaining the problem of the
charge-independence of pion- and nucleon processes, and
further data concerning the search for the Qo-meson, and
details concerning new work relating to pion angular dis-
tribution. Investigations of single pion production in
(nn)-collisions resulted in experimental agreement with the
phenomenological theory of Mandellshtam, which demands that
n-n-resonance interactions occur in a state with isotopic
spin T - 3/2. In the following lecture by Segre', M. Shafranov
and V. Shakhbazyan (Dubna) acted as scientific secretaries.
Next, V. I. Veksler (Dubna) spoke about "Nucleon-Nucleon and
Pion-Nucleon Interactions in the 1-5 - 10 Bev Range" (Scienti-
fic Secretaries: N.-Bogachev, V. Grishinp and M. Podgoretskiy
(Dubna)). He delivered a report on the investigations carried
out in the past years in Dubna and made a comparison with
theoretical results. Figure I shows the phot8graph supplied
by him of the production and the decay of A and anti-A -

The Physics of Elementary Particles S/053/60/070/02/009/016
B006/BO07
hyperons. Investigations of the (pp)-scattering cross sec-
tion yielded new results indicating that the scattering
amplitude in the optical model has not only an imaginary-
but also a real part. New data were obtained at Dubna also
for the total elastic and inelastic (pp)- and (np)-scattering
cross sections at 9 and 7 Bev, respectively. Investigations
carried out by I. Ye. Tamm are mentioned. In the following,
Ya. A. Smorodinskiy (Dubna) spoke about (nn)-scattering
(Scientific Secretaries B. Golovin (Dubna) and L. Puzikov
(Moscow))and Chew (Secretaries: L. Lapidus (Dubna) and Yu.
Novozhilov (Moscow)). At Dubna proton accelerations to 635 Mev
are possible. At the following three surveys on electro-
magnetic interaction and nucleon structure A. Varfolom&~Lev
and L. Solovlyev (Moscow) as well as S. Bilen'kiy and B.
Barbashov (Dubna) acted as scientific secretaries. There
followed a lecture delivered by Steinberger, whose scientific
secretaries were E. Okonov and R. Rvndin__(Dubna). The lecturer/
Card 416 Alvarez was assisted by the secretaries A. Lyubimov and V

The Physics of Elementary Particles S1053160107010210031016
B006/BO07
N, Petukhova (deceased) (Dubna), and Salam by the secretaries
B. Valuvev and V. Solovlvev (Dubna). A special session of the
Conference dealt with the problem of dispersion relations.
D. V. Shirkov (Dubna), spoke about the theory (secretaries:
V. Vladimirov and A. Loggno ); the second lecture dealing
with this subject was delivered by Lehmann (secretaries: V.
Favnberg and 0. Parasyuk (Moscow)). A further special session
dealt with theoretical single reports ("New Theoretical Ideas").
Among others, Landau spoke about diagram technique, Garibyan
(Yerevan 'i
) on he radiation of relativistic particle8 in the
passage through the boundarybetween two media. Two further
lectures dealt with weak interaction problems: A. A. Alikhanoy
(Moscow) (experimentally) and R. Marchuk (theoretically);
the scientific secretaries were B. loffW-and V. Lyubimov, ard L.Okm'
and I,Shapiro(Moscow) respectively. At Dubna the muon pre-
cessio-r-i--i-n-'-the magnetic field was investigatedg and direct
proof was supplied for the first time that muon spin is half-
integral. The group of research scientists at Dubna further
Card 5/6 succeeded in proving the radiationless muon capture by heavy

The Physics of Elementary Particles S/053/60/070/02/009/016
Boo6/BO07
nuclei (nuclear excitation), as predicted by Zaretskiy (Moscow).
During the following lecture delivered by Glaser, I. Kobzarev
acted as scientific secretary and during that delivered by
Powell, T. Gramenitskiy (Dubna), Y. Maksimenko-(Moscow), and
V. Kharitonov (Yerevan). A survey on the theory of multiple
production of particles in the case of ultra-high energies
was finally delivered by Ye. L. Feynberg (m6scow)q D. Chernav-
skiy (Moscow) and V. Barashenkoy (Dubna) acting as his scienti-
fic secretaries. During the Conference the delegates paid a
visit to the Institut fiziki AN USSR (Inatitute of -Physics of
the AS UkrSSR) at Kiyev, after which many foreign delegates
visited Dubna. There are 4 figures.
Card 6/6

Si-'ICIRODIIi,Shl'~J, Yr.. A . airld -Po"JaBKORIN, Brano M.
"lif"utrIno Coravorient of Cosmlc and Cosm-olo-F.1cel Considerations."
r--pdrt freBented (by L. D. Fvkzikov) at the ITJPAP sponsored lit!. Conf. on
ilieoretical -Aspects of Very M4~li EnerLZ, Pher-tomena, CEM.' Heedquarters, Geneva,
5-9 June LI~Q'I.

SMORODINSKIY, Ya..;JR SHIH-KO
Radiative corrections in pion decays. Dubna, Izdatellskii otdel
ObIledinennogo in-ta iadernykh issledavanii 1961 8 PO
(No subject headings

SMORODINQUY, YBkov Abramovich, prof., doktor fiz.-matem.nauk;
-"- Yd-d-.; SAVCHMMO, Ye J. , tekhn.red.
F
[What we know about elementary particles] Chto my znaem ob
elementarnykh chastitsakh. Koskva, Izd-vo *Zaanie,* 1961.
46 p. (Vaesoiuznoe obshchestvo po rasprostraneniiu politichs-
skikh i nauchaykh znanii. Ser.9, Fizikn i khimiia, no.4).
(MIRA 14:3)
(Particles (Nuclear physics))

Y
PHASE I BOOK EXPLOITATICK SOV/5982
International Conference on High-Energy Physics. 9th, Kiyev., 1959-
Devyataya sezbdunarodnaya konferentsiya po fizike vysokiYn energiy, Kiyev
15-25 iYulYa 1959 g. (Ninth International Ccraference on High-Energy
Physics. Kiyev, July 15-25, 1959), Moscow, 1961- 739 P- 2,500 copies
printed.
Sponsoring Agency: Akademiya nauk SSSR. Mezhdunarodnyy Sqyuz chistoy i
priklaAnoy fiziki.
Contributors not mentioned.
PURPOSE: This book is intended for nuclear physicists.
C07MAGE: The collection contains 30 scientific articles presented at the 9th
Intbernational _-oaference on High-Energy Physics, held in Kiyev from 15 to
29 Ji.-ly 1959. The articles presented relate mainly to the progress in nu-
cleax physics achieved in 1959- Subjects discussed are the production of
Card 1/ ?1

Kinth International Conference (Cont.) SCV/598-2
nuclemB. their structweY weak and st-rong intasrac-tims. scattering, aad
their decay. No personnilties are mentimed. References ac-cmpany indi-
v-1d,jal articles.
TABTF. Cp COMENTS.
OpE~ztug of the Conference
kernardlni., G. Photoproduation of Pi-Me-~-rrmzt 9nd Comptm Efte--A,
aa Nualeans 11
Div.--lassion
54
Pwtecorvo, B. Scattering of Pirms by Nucleons and Single
Prcductim of Plans in Nuclem-Nuclean and Pioa-Nu,~1em Interacticus 60
Discussion 118
Segre'.. E. Antinuclems and Their Interactims 133
Discussion 15?-
Cird 2/

N:Lnth International Conference (Cmt.) SOV/5982
Veksler., V. I. Nucleon-Nuclecx and Pion-Nucleom Interaction 157
Dlkseusr,im 1915
Smcr.:-cdtuskiy, Ya. A. Scattering of Nuclems by Nacleons 201
Discussion 221.
ahew.i G. F. Theory of Strong Interactions Between Ord-nary
Paxt,icles 231
Discussion 249
Hofstadter., R. On the Structure of the Nucleon P-61
Disr-ussion 275
Pazc.t6ky, W. K. Electranagaetic Interaetims and Nucleon Structure P-77
Dt, 296
card 3/0

SY,ORODINSKIY, Ya.A., doktor fiziko-matematicheskikh nauk
Geometry of the universe.. Nauka i zhizn' 28- no.12:60-64 D 161-
(MIRA 15:2)
(Relativity (Physics))

BADALYkN, A.M.; SMORCDINSKIY, Ya.A.
Weizsacker-'e.'illiams relation for matrix elements. Zhur. eksp. i
teor. fiz. 40 no.4-.1231-1233 AP '61. (MIRA 14:7)
(Bremsstrablung) (Matrices)

26422
3/056/6 /04 - 1/00 /0 . 7/02 1
~11 6 (P 0 B,02/B'---~i
AUTHORSi Pontekorvo, B., Smor-.~dl-nsk~y, Ya.
TITLE: The neutrino and the den-s : ty -) f i,,,It r,~- I n e
PERIODICALi Zhurnal eksperimenta-l' -n---,,,l
V.
no, 7) 96 239 - 2 d
TEXT: No estimations regarding thE it-'s. -V -n the
universe have hitherto been made; there :. oe-'--eve
that it is remarkable, duer- to the fact th~-::- ar~, hardly
absorbed in dense matter. The authorz~ now tta-'-- I-= it
possible that the energy pertaining the
is comDarable with or greater than thin 4~nczrzv rest
mass oi hydrogen? It was the aim of L:- f-..nd
an answer to this q-Aestion. Th~-
U
antineutrino energy density is
tal data, but these depend ezs-nzia.1,- -n-
methods are now discussed, which TaL&.-.
Card '1/4

2CL22
The neutrino and 'Lh"- aensity ...
itself a ~onseau~,rc~_ PC~_,-,-.-.--,'
wh4ch is in
of the hypothesis of the existcnrr- r 7, a r
to consist preponderant-ly in irve_~-J_,&a--_,ng
interaction with matter, as weil a,- C
ou t by Re ine s , Cowan and Davi s wi tz a i i a - Tnt- ~r""
of anti-neutrinos with energies varying frock
showed that the flux of antineutrinos exi--."C'i~-..ng Pn~rFLIE:S I-.,-'M 10 Mev
is not likely to exceed the value_ -.0 -m se-- :_n the
cosmic space. This corresponds 7 a inax-,:rl-rri energ3: d~rtsity k:f antineutzrinos cf
_~ 1 2
these energies amounting to 10~ Miev/.:Tij -'.. Th-E ~_X~
- ---- _-rp.~y .-. hcw-
ever, no information on IV-he den5ltY it' E Tli~~- D-
experiments disclosed that the loosmi,~ r -
exhibiting energies of several Mer) cann,:-: ex,:&ed z3cm~ C, NIz_v/:TI.
Estimating the density of neutrinos exh_,b_,tin~- c-nerg---i of
supplies a few bllev/cm-~ with regard to the crd~~ DI ani ex~eeis
by far the maximum energy density of hydr,~gtmn 'N m.-tx- in
the universe. For v and :~ exhibiting energi-75 v e r g
Card 214

26422
.1 1. - - 1- '30 /,D - -102
s
The neutrino and the density ... 3
M ax
density of ;5~~10 Mev/cm is obtained, whi~~h_ is z3mparab_~ In
H
this connection, it is important to take the ml?aning th- 1~
Fermi interaction into account, which -,D the
VD component. Attention JLs dra-ff-- t~ 1: h ~ f :S., L_' u de Z) f
the "visible" kinetic-energy density ( ,,j h I , r. -4 77;, th,~
energy density corresponding to the r?---qt n'-.f,
contradictory to the hypothesis of oeparalt_---_~n ct Iz~r; i:nzi -matter
as a result of fluctuations occurring in a ,nlverse.
The fluctuation hypothesis only prtsijpp-_-ses zh~ in
the past the vD energy density exceedea
several orders of magnitude. The au-uh-rs ~'.,-_ane, A. Gi.
S. B. Pikellner for discussions. There ar;_% bi-z~c
and 9 non-Soviet-bloc. The most imocrtan!. ~Lan,-,_iage
Y. -, -.1R
publications read as follows: H. Ch N
Emission Processes and Stellar Evc-_-us-_-jn, Dieprln:, F IR z_ I n e a
C. L. Cowan. Proc. of the 2-na Intern. C:,nf. --n ,nc- Use~: of
Atomic Energy, Geneva, 1958; R, Davs. Bdl--. A_m~:. Pt-c;-z 3c_ 2 1
1959; G. E. P. George., I. Evars. Proc. Phy~, S-- A
Card 3/4

The neutrino and the densisy
193, 19511 T. D, Lee, L. N, Yan,-,,
N. Gabbibc, R. Gattc. Nuovc Cim..
ASSOCIATION: Ob"yedinennyy instiv-t
(Joint Institut~, off
SUBMITTED. February 7, 196'
26422
Phys. R~--
--.;2 1:01- c)6"'
Card 4/4

28763
S/G~ 61/C,41/003/016/020
OrAgs B1 2)Y1 02
AUTHORS: 11
,Clelldovich, Ya. B., Smorodinski4y, Ya. A.
TITLE: The upper limit of neutrino, graviton, and baryon density in
the universe
FEitIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, v. 41,
no. 3(9), 1961, 907-911
TEXT: To estimate the maximum energy density of neutrinos, gravitons and
baryons in the universe the gravitational effect of these particles on the
expanding universe has been investigated by the authors. According to
B. M. Pontekorvo and Ya. A. Smorodinskiy (ZhETF, 41, 239, 1961) it is very
difficult to determine the cosmic neutrino den Sit
i y. Direct tests have
shown that the mass-energy density in the forri of neutrinos may be 104 to
1o5 times higher than the rest-mass-energy density in an ordinary form.
The authors, and also F. Reines, have already shown that these estimates
depend on hypotheses concerning the neutrino spectrum. Another method
for calculatin6 the maximum energy density is based on determininlz- the
gravitational effect and fits all unkno;xn, weakly fields, also
Card 1/4

S/L' 56 Iv, i /G4 1 /00 3/016 102 0
The upper limit of neutrino ... 31 25/B1 02
for the density of high-frequency oscillations of the gravitational field
(gravitons According to G. M. Gandellman and V. S. Pinayev (ZhETF,.aj
1072, 1959~, the bremastrahlung of gravitons is 1010 times smaller than
the radiation of v-v pairs. For the suggested estimate, the density Q of
0
all kinds of matter-energy determines the past of the universe. The
critical density Qk Of the matter-energy, .,,hich has been introduced by the
authors, characterizes the transition from an open to a closed model of the
universe: at Q "k' the expansion will last for an unlimited time;at
however, this expansion will change over -into contraction. The
Q Qk'
times T counted from the instant of maximum density of the universum until
now L.re as follows:
T k-2 Rk + V) arctg k ~ Ik (2q 1)"':
T' = [ I -!. (2q)"31-1
q = Q/2Q,~_, 7 is calculated for resting matter and a pressure p = 0; TI is
calculated accordin.- to L. D. Landau for neglif.-ible rest mass, i.e., for
particles moving at velocity of light and p (f denotes the energy
Card 2/4

'28 7 6 3
-/003/01 6/020
limit o--~' r~e,,,zxino 5 /B 10 2
10
Fox T 10 years, one ob-ain-s 0,4 and, therefrom, q!'.'5 and
3
glam An independent inlrest`gatl.-.c yielde q1"G for distant
galLac-s-Ics systems. Equal results are obtain-zd in a third estimate of the
maximum density by studying the star densily --'r. the galaxies. It is
that the density of neutrino.3 , gravi t~~ns , t!,. , in the universe is
high.~r than the mean nucleon density observ-3,11 g/cm3) but more than
v
10 t- ~O times SiM4 larity of 10-29 7 1j;m.3
. The - ~ I ordinary matter
suggested a comparatively young age olf the ,in--erse. At equal order of
magni,.-ade of neutrino mass and nucleon mass dersities. the value for the
density will be smaller than _- 10-29 g/cir.3, ~Lnd to -1o-5
nucleons per cm3. The number of nucleons may te m~.i-h larger than the
aiven value since the gravitational mass defe~:T n M Df a star after the
gravi-,ational collapse may be of the same ord.; of ma,~~ritude as the sum
.~je 3--a.r. At present,
of the rest masses of the nucleons contained -r- -
th,~-re is no correct theory an gr&vita4.-;--.--a1 L. D. Landau and
Ye. M'. Lifshits have estimated the critioal mags 'Ce '716~o oir the solar
maas. When a gravitational collapse of a st-a.? energy might
be emitted in the form of neutrinos an."' Tiie mean nucleon
Card 3/"t

"'o. /00-3/016/020
of neutr-.no
dttr)sJ.ty ~n colla-psed stara will be no m.i-! .imes higher
thun known densities Df -.)rd~rkary are only
,_-orrer;t. f,~)r n,3t too early _,ollaps-is. T h e r 9 Soviet
I
rion-Sovie t . The four most uage
nd 6 h g
publa.-.ations read as follows: F. Reiries : C- F. B.
Ha.rrison, A. D. M-.. Cuire, H, W, Kr-use, Phii--%. [-I-- ~.c, ig6o;
H. Y. Ch-,r., P. Phy-s. Geli-Mann.
Re%'. Lp-~. 6, 10~ .96 F~ Hylv. 1:~, s
1, 1961.
S", D?,TT"'TED: Aplil 1.4? '1961,
Card 4/4

SMORODINSEIY, Ya. A.
. "Multipole Expansions in Field Theory"
report presented at the Intl. Conference on High Energy Physics, Geneva,
h-il JuLy 1962
Joint Institute for Nuclear Research
Laboratory of Theoretical Physics, Dubna, 1962

nEPIKOV, N.P.; "VORODITISM, Ya.A-.l ZARUBITIA, I.S. [translator];
SAiL414TSEVK-,-V.ft-.--,---tekhn. red.
Inversion of helicity in nuclear reactions. Dubna, Obnedinen-
nyi in-t iadernykh issledovanii, 1962. 8 p.
(No subject heading)

SNIORODIIIISKIY, Ya. A.
[Kinematics and Lobachevskii geo!-,etry'! Kinem?tikaa i geo-
metriia Lobachevskogo. Dubna, ObIledinennyi in-t iader-
nykh issledovanii, 1962. 21 p. (MIRA 16:10)
. (Kinematics) (Geometry, Non-Eluclidean)

SVIORODINSKIY, Yakov Abramovich; LESHKOVTSEV, V.A., nauchnyy red.;
-- SRU~~ftk red. Jzd-va; ATROSHCHOKO, L.Ye., tekhn. red.
P
[Elementary particles] Elementarnye chastitsy. Yfoskvap Izd-
vo "Znanie,," 1962. 45 P. (Namdnyi universitet kul'tury: Estest-
vennonauchryi fakulltet, no.1) (KIRA 15:5)
(Particles (Nuclear physics))

5/056/~~/O~2/003/033/049
I
31C2/3138
A U T S Lyubashit,5, V, L., ~jaoxpdinskiy, Ya. A.
T !T Cov-iriant txpan~-;ion of' the electrotna--!netic field
lio,"I" ZhLrn3l eksperi-_rent.~l I noy i teoreticheskoy fiziki, v. 42,
no. 5, 1962, 8.,!6 - 856
LXT : '7~o oroblems of covari3nt ex-oansion of a free el,:-ctromaznetic -field
nre cons:1,aerec.: Z: 6 JL.L
a) expansion oi a pri(jLuri Lie-Lu Lt~c
and maenc-tic L:,.u1ti,)oles, b) exoansion of field sources (current) -.,.,ith
reSPect to multipole moment~3. The formulas are derived by using the
irreducible tensors of the Lorentz group and the conception of tile Illittle
,roUP L (i of the four-vector q which is assumed to be time-like or lying
on the 1i4,;ht cone. In the first case L q is an.isomorphous subgroup of
spherical syraaetry. For the morientum k lying on the light cone, the little
,roui) L. is an isomorphous space group for the biatomic molecule con-
sidered. After defining, the covariant Stokes parameters, expressions for
the covariant. excansion of the Dhoton field with respect to the
Card 1/5 %Yl

S/056/62/042/005/033/049
Covariant expansion of the... B102/3138
Multipoles ELAI (k) ~ L-'!- (L + k I VkYLA( (n),
AlLM (k) ~ L-V, (L 4- i [kVkj YLM (n
where
ULM (k) = 0,' kA1LM(k) = 0, VA:AIL,%f (k) = 0,
ELAI k) AILM (k) = 0 (16)
are derived.
EI(n')LAt (k) = L-"' (L + 1)-"' k,, (P, (kP) Y(L')%i (n), (25)
-if =-P. wk~-
M("[ I P1. (26)
M -,%f (k) - L-"' (L + I)-'-" E.j~jkj YL(IM) (11)
i if- P. S
are obtained, which, if P = 0, go over to (15) again. The expansion with
respect to multipoles of the Fourier components of the electromagnetic
field reads
A,~ (k) e(') E(l) Af (k) +MUI MV)
LM mL LM rnLA( (k) (27)
LAU LAU
Card 2/5

5/056/62/042/003/033/049,
v ~ r n t s nn 41 o n o f t 1-1 e 3102/31118
Th.-, functiono Y )In) ~jre tabulated for 0, �1, t-2 and L=0,1,-?. e- and
ta, ,,)inor~~ will"n I, (:(jttc,,d and L non-dotted indlice-1. Tine covariant ex-
:..anslon of a current with respuct to iaultipole iaomunts is
ach'Qv~u by a of
ik (X, 1) (x - X(,) (29)
r)jk (X, 1) axk = 0. (29a)
and sepavat;on into carrent and charge density component:
ik (X, AN~_71 ey)~~I)k (!XP (~(i)V)j 63 (X) (31)
();-(I) / at)
+ e(1);;'(,) - e(j)6,(j) (,--(,)V)+63 (.X). (32)
ley) - ey) (;(,)V) + -~- ey) (~(,)V)~ 8- (x). (33)
Card 3/5

.ovariant ex.nansion of the. s valid. kith
icle trajectories X(i)(t) x + i
For the part c
(34)
mA ... ~My M.
charE;e density eyi)a"Gion "sPect Lo multipole moment.,3
p D- If Q(L)VL63 (X), (35)
L
-7L
is obtained; stands 'or the L-fold oroduct VcY v-or the current
T = 1, 2, 3)
L V V +
(42)
+ e(t) (;(j)V)L-2(_ I)L IV 163 (X).
ii
,
C
ard 4/5

51050'1621042100310351049
r~_,_--nt, ux:-anz5 ion of the . . . B102/B138
u 1 t s .11' tjie four-vector of current d,~nsity is divided into an
,~Iectxic,-l and z,al~ji~,tic darf.,
ZPi 4- (Pk N, - PA) ] P~'b -11 x - x, (J) 1, (47)
X, (t) = Pt j P" P-1631X_X
j 8MBIMIA jx- 0 (48)
m
are obtained. z'inail.;, multipole radiation is considerer, and expressions
Ere derived -.-.hich relate the mulltijole expansiom (25)(26) with thf current
(.ierisit,y ex~,sansion -.,,ith respect to the multipole moments. There are
1 table and 14 references: 8 Soviet and 6 non-Soviet. The three refer-
ences to _;n~;Iish-la-nguage publicatiomread as follows: L. lAichel,
a uhaninejac IL
0 - Phys. iev. 122, 242, 1961; D. Fradkin, R. 11. Good.
19061; V. Bargmann, E. P. V"igner. Proc. Nat. Acad.
.-'Lev, "~,'od. Phys. 53, 343,
SC4 . USA, 3e,, 211, 1948.
S UB'.: ITT !~D October 6, 1961
Card 5/5

3/0':6/62/G42/GCz/' D50
w- 7/0
B102/BI04
Puzikov, L. D., Smorodinskiy, Ya.
3
-x near the threshold
Reconstruction of the scatterin,~ ma.
condiz ions
Zhurnal eksperJmentallnoy i teoreticheskoy fiziki, v. 42,
ODT C
f10. 5, 19052, 1249-1251
Ls a development of work previously reported (I. I. BazI. ZhETFj 337
923, 1957) -.he authors jresent an analysis of the scattering data for
spinl~ss Particles close to the reaction threshold in -.arms of a "complete
The amP_!-.;.tt~de and cross-section of s,ca-.terjLng near the
a caii be re-presented by the first few terms in a series expansion
of t-_-esholP_ quantities. The data required for the scattering matrix
can be derived fron- measurements of the deDendence of the polarisation
qua,nzities on the energy, in respect of ellastic scattering near the
For a.-. scatterinc- of a 1/2-spin particle from a zero-spin
par-.icle, the elastic-scattering matrix near the reaction threshold is
,given by
Card 1 /2

B/056/62/043/006/035/067
B1251BI02
AUTHORS: Klapikov, N. P., Smorodinakiy, Ya. A.
TITLE: Chirality inversion in nuclear reactions
PERIODICAL: Zhurnal eisperimentallnoy i teoret -icheskoy fiziki, v. 43,
no. 6 (12), 1962, 2173-2178
( -M
TEXT: The scattering matrix M --30- a f) M (Idn of the transformation
6(1-j-1/2) 6(1-j+1/2) by S. Minami (Prog. Theor. Phys., 11, 213, 1954) V
can be written as M-e(nf)MU(n, Here ; i and in.'fare the unit vectors in
the directions of the incident and the scattered particle in the center-of-
mass system. This transformation changes the sign of the transverse polari-
zation of the particles, is anticommutates with the spatial reflexion
P('6n'*) (3n)P and satisfies also the unitary condition
+ 4+ 4 +
i(M" M') . 25M A, which remains valid when M4 -o, -M. . M M corresponds to
the change of signs of all phases, this comprises the change of signs, the
transition to the hermitean-adjoint matrix in the spin space and the
Card 113

S/05 ~2/043/006/035/067
Chirality inversion in nuclear ... B125YB102
exchange of the final and tbeAnitial momentum. The successive rotation of
all spine through n around the.momenta and the transformation (7) furnishes
the chirality inversion of all particles. For particles with spin 112 the
chirality inversion reduces-itself to 6(1-j-1/2)---> - 6(1-j+1/2) (L. D.
Puzikov et al., ZhhTF, 32, 592, 1957). By modifying the operators, these
considerations can be generalized for particles with arbitrary spin. For
particles having the arbitrary span S the operator U(;) goes over into
exp[i(-So nil)nj. In systems with seVeral particles the inversion chirality
must be made for each single particle. By contrast with systems having
half-integral spin, the Minami transformation and the chirality inversion
do not change the parity of states in systems having intq?gral spin. The
remaining ambiguities can be removed by determining the t;ign of the
longitudinal polarization (by measuring the pseudoscalar (V), when an
electric or magnetic field is applied or by investigating the energy
dependence of the effects). Invariance of the observed values with respect
to the transformation M -0--U+MU is removed with multiple scattering owing
to the Thomas precession of spins.
Card 2/3

B/056/62/043/006/035/067
Chirality inversion in nuclear ... B125/B102-
ASSOCIATION: Ob"yedinennyy institut yadernykh iseledovanty (Joint Institute
of Nuclear Research); Moskovskiy gosuiarstv3nnyy universitet
(Moscow State University)
SUBMITTED: June 22, 1962 initially)
July 12, 1962 rafter -revision)
V
Card 3/3

LL4238
S/056/62/043/006/043/067
B100102
AUTHORt Smorodinskiy, Ya. A.
TITLE's The translation of spin in the Lobachevski space
PERIODICALt Zhurnal eksperimenta.11noy 1 teoreticheskoy fiziki, v. 43,
no. 6(12), 1962, 2217 - 2223
TEM An attempt is made to work out a spin transformation scheme which
deviates.as little as possible from the ordinary nonrelativistic.theory.
It is based on the idea that reactions and decays can be so described that
when a change of system occurs the spin is not transformed by the Lorentz'
group but by a translation on a hyperboloi *dal'surface (imaginary sphereOn
the velocity space, i.e. by a Foldy-Wouthuysen group that is isomorphous
to the three-dimensional group of rotations. Hence-, in an arbitrary
coordinate system, the spin vector must be represented as a three-dimensio-
nal vector. For this purpose, the author used the Lobachevski geometry in
the velocity space, in which the spin transformation is a translation of the
spin vector along a geodesic on the hyperboloid (pseudo-Euclidean metric).
The theory of the relativistic spin is thus considerably simplifiedt If
Card 112

SMORODINSKIY1 Ya.A.' prof.
Structure of a nucleon; experiments of Robert Hofstadter.
Priroda 51 no.3:101-103 I-x' '62. (~MRA 15:3)
1. Ob"yedinennly inatitut yadernykh issledovanij, Dubna.
(flofstadter, Robert, 1915-) (Nucleons)

SMORODINSKLY,-Yakax-Abnima3d-ckL FAYNBOYM, I.B., rod.; RAKITIN, I.T.,
tekhn. red.
(Geometry of the universe]Geometriia Vselennoi. Moskva,
Izd-vo "Znanie," 1963. 47 p. (Novoe v zhizni, nauke, tekhnike.
IX Seriia: Fizika i khimiia,, no.4) (MIRA 16:3)
(Cosmogony)

s/osq/63/014,1/001/012/0113
B112/B16O
AUTHOR: -morodinskiy,_J,~. A.
T ITL E Kinematics and Lobachevskiy's geometry
PERIODICAL: Atomnaya energiya, v. 14, no. 1, 1963, 110-121
TEXT: In 1909 F. Klein found that the velocity space of the special theory
of relativity was a Lobachevskiy space. In the present paper the author
interpretes the kinematics of some objects of modern physics (particles
with vanishing mass, spin particles etc.) in,the light of the hyperbolic
geometry of their velocity spaces. There are 12 figures.
SUBMITTED: October 1, 1962
Card 1/1

L 1021?-63
ACCESS ON IM: AP3000060
radiative corrections are included. This fact is also a consequence of the
Gammn-sub 5 invariance of the electromagnetic and weak interactions. orig.
art. has: 7 formulas and 1 figure.
ASSOCIATION: Ob"yedinennyy institut yadernykh issledovaniy (Joint Institute of
Nuclear Rese2Lch
j
SUMTTED: 10]Dec62 DATE ACQ: 12Jun63 ENCL: 00
SUB COM: PH NR PM SOV: 002 OTHER: 003
Card