SCIENTIFIC ABSTRACT LAPIDUS, L.I. - LAPIDUS, M..

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

SUB5ECT USSR / PHYSICS CARD 1 / 2 PA - 1447
AbrTHOR LAPIDUS,L.I.
TITLE On the Determination of the Spins of X-Particles and Hyperons.
PERIODICAL Zurn-eksp.i teor.fis,31, faso.2, 342-343 (1956)
issued: 10 / 1956 reviewed: 10 / 1956
F~-__ the "strange" particles there are no reactions that develop with great prob-
ability and are similar to the reaction p + p '~- d + n. With this reaction it
would be possible to determine the spin of the unknown particle. In the case of
the reaction K-+d _1~4_ K - + p (1 ) which is analogous to the reaction n-+d ti n+n,
slow particles are not forbidden as was the case with pions, for T__ and p are
not homogeneous particles. According to T.D.LEE, Phys.Rev-22, 337 (1955) the
latter reaction (1) is suited for the determination of the spin of the new par-
ticles. For this purpose it is possible to use analogous reactions with other
nuclei instead of (1): K-+H 3 j_+d, K-+Ile4--)1-+He3 (2), K-+He4--l /~'+H 3(3)
2,f-- 2 2(--
etc. The experimental data concerning the interaction of slow particles appar-
ently indicate that of the two capturing processes:
K_ + N--~ AD + 7E, K_ + N-~~ 2: + n (4) the first is more probable by one order
than the second. Therefore it is useful to study the reaction of the type (3),
and besides also other possibilities for the determination of data concerning
the spins of the new particles remain to be investigated.
A further possibility for the study of the spins of hyperons and K-mesons is
based on the fact that the bundles of particles produced on the occasion of

ZuA.eksp.i teor.fis,11, fase.2, 342-343(1956) CARD 2 / 2 PA - 1447
nuclear interactions are partly polarized. As is known, the scattering cross
section of a polarized bundle depends on the angle 9 and on the azimuth ?. How-
ever, if the dependence of 9 depends on the part played by transitions, the
character of the dependence of 9 is determined by the spin of the particle.
Thus, a dependence that is proportional to cos 9 is characteristic of particles
with spin i/2, for particles with spin 1: cos y + A cos 2-, for particles with
T
Spin 3/2: cos y + a cos 29 + b Cos 3y, and for particles with any spin the de-
28
pendence K A cos nT applies. Here a denotes the spin of the particle. The
n=1 n
existence of such a dependence is based on the fact that the orbital momentum
has no projection (M = 0) so that the values of the projection of the total
moment of the momentum are identical with the possible values of the projections
of the spin of the particles.
The fact that the particlet belong to the bosons or fermions can, for example,
be determined from the decay scheme. Consequently it is necessary, if e.g. it is
known that the K-particle is a boson, to separate the following experimentally:
The lack of the dependence of 9 at s = 0 on the existence of a dependence of the
type ces 9 + A cos 29 at s = 1.
INSTITUTION; Institute for Nuclear Problems of the Academy of Science in the USSR.

- Lmq)us i ~,, jj~
~SUBJECT. USSR / PHYSICS CARD 1 / 2 PA - 1449
AUftOR GALANIN,A.D., LAPIDUS,L.I.
tJ TITLE remarks on the Mixed Meson Theory.
'PERIODICAL Zurnveksp.i teor.fis,jl,fasc.2, 359-359 (1956)
Issued: 10 / 1956 - reviewee.: 10 / 1956
R.P.FEYNIWI, Phys.Rev.,76, 769 (1949) declared that in the mixed theory of
scalar-;and vectorial mesons with vectorial coupling the nonrenormalizable in-
finities are removed if the coupling constants are equal. The work by D.B.BEAR-
BEARS and H.A.BETHE, Phys.Rev..�j, 1106 (1951) deals with the employment of this
theory for the study of nuclear forces. The same is said in the book by S.S.
SCHWOBER, H.A.BETHE and F.de HOFFMANN, Mesons and Fields, vol.1, New York (1955)-
Actually~ however, the removal of nonrenormalizable infinities in this case is
equivalent to the fact that the equation for the vectorial meson
(p2br/et - py- PAx)y,,, s,,is transformed into p2yv- sr . In this case the
field Tr describes the particles with spin 1 a-rid zero, on which occasion a
negative energy corresponds to the components with spin zero. (See G.71ENTZAL,
Einfuehrung in die Quantentheorie der Wellenfelder).
If, however, we proceed from the Hermitic LAGRANGIAN of two fields with spin zero
and 1 which are in interaction with a nucleon field, we find that nonrenormaliz-
able divergences are not removed but that they are superimposed. For each line
of a vectorial meson (including the summit) the following is written down:
f 2 (,r ... r ) (6 , - k k Ik-2 2 2).
r )/(k Here the series of points denotes

V
Zurn.eksp.i teor.fis,.2i,fasc.2, 359-359 (1956) CARD 2 / 2 PA - 1449
any part of the diagram and for each line of the scalar meson the following is
written down:
-(f2 2 ' I ) 2 2 -1
2//0-2) (k ... (k /12)
The minus ;~ sign in the last expression is due to the fact that one of the
factors k describes the production of a meson and the other an absorption. This
sign follows also from FEYNMIS rule: k is equal to the difference between the
initial- and end momenta of a nucleon.
From the two latter formulae it follows that the divergences connected with the
factors Iv in the numerator are cancelled only if it is true that
f2/ -2 f2~L2, i.e. if one of the charges is imaginary.
I//,,1 2 2
INSTITUTION:

~_A t::, * r) vs , L . T_ ,
4UNECT USSR / PHYSICS CARD 1 / 2 PA - 1874
A73THOR LAPIDUS,L.I.
TITLE The isotopic Invariance and the Production of Particles.
PERIODICAL *u=.eksp,i teor.fis,31, fasc.5, 865-875 (1956)
Issued: / 1957
The production prooesses of mesons are best suited for the direct experimen-
tal examination of the conclusions drawn from the law of conservation of iBo-
topic spin. Thus there follows for pions, apart from the relation:
dd(p + P-i, I + + d) w 2dd (n + p-,--~n' + d), only from iso~opio invariance,
also the relation dd(p + d H3 + x+) - 2da(p + d --~, He + no). several
further forbidding rules resulting from isotopic invarianae are mentioned.
From the conservation of isotopio spin it is possible to learn also some-
thing about the interaction between a meson and a nucleon or between a nucleon
and a nucleon in states with a certain value of the isotopic"spin of the
system. The differential and total cross sections of elastic interaction in
the states with T - 3/2 and T - 1/2 are given. Furthert the cross sections of
a whole series of processes are mentioned. Among other things, the photopro-
duction of individual deuterons on a deuteron are investigated in order to
find out what relations occur between the cross sections in consideration of
interaction between a meson and a nucleon in the state with determined T
For the various processes of photoproduction also the matrix elements
are mentioned. The author, among other things, is of the opinion that the
"isobaric" model has by no means been experimentally confirmed. Only indi-

lurn.eksp.i teor.fis,jl,fase.5,865-875 (1956) CARD 2 / 2 PA - 1874
cations of a considerably more important part played by the states with
T0 - 3/2 as "doublet states" in x - N interaction have been obtained, and
this is true for all production processes of real mesons.
There follow investigations of the consequences of isotopic invariance for
the production processes of individual mesons in the case of interaction be-
tween nucleons and nuclei with the difference 1 and 2 between the number of
neutrons and protons. The relations obtained on this occasion are suited for
the verification of the hypothesis of isotopic invarianoe itself, for the de-
termination of the purity of isotopic states, and also for the obtaining of
data concerning processes which Ere difficult to examine. Also the production
of mesons on the occasion of the interaction between nucleons and "mirror-
image-like" nuclei like H3 and He3, L17 and Be7
is investigated. There follow data concerning the characteristic features
of the relations between the OTOBB sections and the production of mesons by
nuclei in the case of a predominance of interaction in a state with deter-
mined TXNO The most simple example herefore is the deuteron nucleus. In the
case of certain assumptions concerning the isotopic spin of K particles and
hyperons it is possible to understand many of the peculiarities of the inter-
action of "strange" particles. In connection with BeV accelerators also a
study of the production- and interaction processes of antinucleons is of
interest.
INSTITUTION: Institute for Nuclear Problems of the Academy of Science in the
USSR

P!MFA,OR: LAPIDUS L.1 PA - 2027
. ; Se~D;, "Neorem and the Elastic Scattering into Small Angles.
TITLE
PERIODICAL: Zhurnal Eksperimentaltnoi i Teoret.Fizild, 1956, Vol 31, Nr 6
pp 1099-1101 (U.S.S.R.)
Received: I / 1957 Re-viewed: 3 / 1957
ABSTRACT: The total cross section of interaction is known to be proportio-
nal to the imaginary part of the amplitude of elastic scattering
in the forward direction. The relation, which is sometimes called
"optic theorem", is a consequenoe of the unitarity of the S-matrix
and applies in the case of particles with any spin; it can be re-
presented as follows: a. - (0/0 Im TrM(00081 4 1)/(2 s2+1)(?)'
Here the matrix M(0) conne--ts the wwre scattered into the angle 0
with the inciding wa-we and B,, 8 2 denote the spins of the col-
11ding particles. M(G) is thqn,eXD1ioi,tly given for the following
cases: Collision of a spinless partiele with a paxticle with
spin 1/21 al - 1 and a 2 ' 0; scattering of a particle with span
131 M 1/2 by a target with any spin s 2 ; al - I and s 2 - arbitrary.
The differential cross sections of elastic scattering are ex-
pressed as follows by means of MM:
d(G) - TrM"~_(G) M (9)/(2s, t. -1) (29 + 1),. Herefrom there follows
Card 113 t 2

PA - 2027
The Optie Theorem and the Elastic Scattering into Small Angles.
in the case of any spin a 2 the formula 6(0)-Tr(AA++HH+)/2(2s 9 +1).
This formula applies In the case of a 1W1/2 and a similar formula
applies also in the oase of a 1-1. With 'the aid of the expressions
given here it may be seen that for oollisions of particles with
any spin the simple inequation
2 2
6(00) >/ k 62/16 n is valid, At s -0, a 1 the expressions for
t 2
the total cross section and 6(00) (where Y(oo)-Z(00) 0 is true)
can be represented as follow5.
ka -4A IM[X(00)+(2/3)W(Oo)]lc[(Oo),-IX(00'+'2/3)W(00)11
t 12~
+ (2/9)[W(OO) In the special case of (n-N)-scattering it is
possible, if'd t(E) is known with a wide range of energy, to com-
pute the cross section of elastio scattering in a forward direc-
tion with the help of a dispersion relations In the other cases,
e.g. already in the oase of (n-a)-soattering, It has hitherto
been possible to comptite only the lowest limit for the amount of
Card 2/3 this cross section. The aforementioned inequation offers a useful

PA - 2027
The Optic Theorem and the Elastic Scattering into Small Angles.
i~estriction which can be used when dealing with experimental
data. An is shown by numerical estimations, the lowest limit
of the amount of elastic scattering in the forward direction is
rather high in some cases. Several examples are mentioned. Within
the energy range of from 400 to 600 MeV an increase of the cross
section within the range of small angles with a further tendency
towards an increase in the case of an increase of the energy of
the colliding particles becomes noticeable~ A further example
for the use of the restriction of the optic theorem is the
scattering of mesons by nuclei.
ASSOCIATION:
PRESENTED BY:
SUBMIMED:
AVAILABLE:
United Institute for Nuclear Research.
Library of Congress.
Card 3/3

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JNTP-. 7-9(1957)
my

ILUTHORB t Lapidust.LaIto and Okonovp 'E.O. -e-6-11-5116
J TITLEs The Latest Research in the Physics of Fundamental Particles (VomyBbiye
iseled.ovaniya fiziki fundamentallnykh chastits)
PERIODICAM Priroda, 1957, #.llt P 33-42 (USSR)
ABSTRAM In 1956 the USSR opened the Joint Institute of Nuclear
Researcht placing it at-the disposal of scientists from all
Coiu=ist dominated countries* The Institute is furnished
witb.the most modern equipment. It has a synchrocyclotron
producing protons with an energy of up to 680 key and, siRce
April,1957P a synchrophasotron (Fig.'1)9 whioh-can:accelerate
protons up to 10 With the synchroqyclotron the first
experizents of.scattering neutrons by neutrons could be in-
quired in'to, and it.will also prove very useful for the
study of trhe interaction between fr-meson and nucleonsq while
the powerful accelerator opens new possibilities for the
investigation of antiparticles, To discover exhaustive facts
'
about the laws of interaction
between elementary particles$
many more piperiseents are needed, and in this work the Joint
Institute will play an important parts As to the methods of
observing the reactions of high energy particles# the authors
Card 1/2 point out that photographing by means of very thick emulsion
I

56-6-21/56
AU190k -
7ITLE C-o-n-l-r-FF
u-tion to the Theory of Exchange Gollisiona bet-
ween Past Nucleons and Deuterons.
(K teorii obmennykh stolknoveniy bystrykh nuklonov s
deytonami.- Russian)
PERIODICAI Zhurnal Sksperim. i Teoret. Fiziki 1957, Vol 32, Hr 61
PP 1437-1441 (U.S.S.R.)
ABSTRACT At first short reports on some previous works are given.
The present paper shows that in the case of general
assumptions as to the amount M of the amplitude of the
nualeon-nucloon scattering for angles near'180 0 (e = 00)
the data on the exchange"scattering of nucleons with an
energy of from 300 to 400 MeV oan be used also for the
determination of additional data on the scattering of
.neutrons by protons. This applies on the assumption that
only low momenta are transferred.
At first expressions are given for the differential cross
section of n-p scattering (after averaging on the spins
in the initial stage and sum ation aver the spins at the
final stage) and for the differential cross section of
the exchange collisions between neutrons and deuterons.
The results of the exchange - n - d - scattering can be
CAU 1/3 used for the determination of data on the spin dependence

56-& 21/56
Contribution to the Theory of Exchange Collisions bet-
ween Past Nucleons and Deuterons.
of the amplitude of n-p soattering and for the phase
analysis of the data on n-p scattering. The main result
of the'expedments can be represented in the form
[ReN'* (G-N-B) _:,H,2_(1/4), B + G - N/ 1800
(1/5)d6 pr (1860)/do.
The significance of the amounts contained in this expres-
sion is given. From the point of 'view of the phas'e analyst
this(expressing selects from all sets of scattering pha-
ses which correspond to the experimental data on the un-
polarized cross section of the n-p scattering and on the
polarization on the oooasion of n-p collisions) only t.Wose
which correspond to the experimental data concerning the
n-d-scattering.
CiUM 2/3 (No Illustrations).

Contribution to the Theory of Exchange Collisions bet-
ween Fast Nucleons and Deuterons. 56-6-21/56
ASSOCIATION: United Institute for Nuolear Research.
(Obl'yedinenyy institut yadernykh issledovaniy.- Russian)
PRESENTED BY: -
.SUMaTTED: 28.8.1956
AVAILABLE: Library of Congress.
CARD 3/3

Pj- D Z~ _5 Z. :r,
.AUTHOR LAPIDUS, L.I. 56-7-30/66
TITIE _-TBFe--ff_ev_ersa1 and Polarization Phenomena in N + 11 d + Tr Reactions
-
(Otrazbeniye vremeni. i polyarizatsionnyye yavleni;a
v reaktsiakh N+li',;:d+-r.
Russian)
PERIODICAL Zhurnal Eksperime i Teoret. Fiziki) 1957, Vol 33, Nr 7. pp 2o4 212

ABSTRACT The present paper phenomenologically analyzes tho p~larizatlon pheno-
mena on the occasion of the reactions p + p -+ d + r (A) , n + d -+ p + p
n + p, -# d + ffO (G)# r0 + d -+ n + p (D). It is intended, on the
basis of this example, to find out what consequence result from the
symmetry of the B-cat,rix SJ, ltl~ ast - sajsz, for a more gene-
ral case of binary reactions, (Nuclear reactions with two particles in
the initial- and final state), The main result of this paper is the
generalization of WOLFENSTEINIS theorem for the reactions investigated
here, Besides, general expressions zxe obtaLned for the various ob-
servable orders in the reactions (A" and (B)j viz, by using the inter-
action amplitude, The individual chapters of this paper deal with the
B-imatrix, the cross sections of interaction of nonpolarized particles)
the polarization phenomena on the occasion of direct and inverse re-
Card 1/2 action,

BILENMY S. M.Y i!2~~L- . I FMIKOV, L. D. and RYNDIN, R. 1114.
"Phenomenological Analysia of Reactions of the a 4 a 1--rb + b I Typa.
Nuclear FWics, vol- 7, No. 6, p. 646-654, 1958, No, Holland Publ. Co.
Abstract: CondILtIons for the construction from experimental data.of the matrix
for reactions of the a -~-al--qb+ bI type are considered on basis of general
.-IncIrles of quantum mechanics. The reaction matrix M is expanded in a complete
set of irreducible tensor operators TJm (bj,ja) and the number of complex Bcalar
functions which determine it is computed for the case when invariance under spaee
rotations and refelections is taken into account. Time reversal invariance of the
interaction leads to relations ia taken into account. Time reversal invariance of
the interaction leads to relations between polarization effects in the direct and
inverse reactions. The number of experiments required for complete construction
of the reaction matrix in the presentce Of several channels can be letermined on
basis of unitarity of the 8 matrix.
The general xx form of the azimuthal dependence of the angular distribution of the
reaction products (for arbitrary spins) is derived In the appendix.
Joint Inst. of Nuclear Research, lab. of Theoretical Physics, Dubna, USSR

AUTHOR; Lapiduis~', L. 1. 56-2-241151
TITLE: The Application of Dispersion Relations to the7~-!.-
-Scattering at low Energies (Primezieniye dispersionnykh
sootnosheniy k ~--._N-rasseyaniyu pri, maly1ch ener~;iyaakh)
PERIODICAL: Zhurnal, Eksperimentallnoy i Teoreticheskoy Fiziki, 1956,
Vol 34t Nr 2, pp 453-462 (USSR)
ABSTRACT: The author investigates the consequences of these dispersion
relations without passing over to equations of the Low (Lou)
type. In computing the deductions the dependence of the
phases on the ener,3y in accordance to the conception of the
theory of effective lenG~th is used. Talzin,~; into account the
experimental data on the phases the expressions for the
first and second phase, for a half-sum describinJ the
scatterin2: of neutral pions on nucleons ass well as one for
the scattering of ne.-ativemesons are deduced. The course of
calculation is followed step by step. These quantitie.-
computed in the first chapter can also be computed directly
from the dispersion inteGral and fron the experimental data
Card 1/3 on the total cross sections. For this purpose the dispersion

The Application of Dispersion Relations to the ?.-N- 56-2-24/51
-Scattering at Low Energies
Q
integral is divided into 3 parts. The expressions found this
way as well as an expression for the deductions of the
dispersion integral P(u)) = k2j+(cj) are nentioned in detail.
Thus the coincidence of the experimentally determined phases
with the dispersion relations can be proved in a more basic
way. After the determination of F+ the values of the
deductions can be calculated immedia;ely after d4fferentiation.
The expressions found for the dispersion intei3rals are
suitable for the calculations within the range of eneri3ies
of w -g 4 ii. wdenotes the total energy of mesons iii the
laboratory system. The transition from the center of maSs
system to that of the laboratory is carried out approxii.-Late-
ly. The dispersion inteLral for the interaction of necative
mesons, with protons is &iven and disciissed. The numerical
values of the 2rlispersion inte-ral are J + (p)=6,116/I'Z_2= 0,176,
_G)-4,99' Z 0,126. For the deductions of the dispersion
.J /4
inte.ral tlc val _ue- 2P(11) - O'OBA c, 2P(v) - 0,04AC are
found by num_3rical Jntejrztion. Thus the anslysis carried
oiit here, which uses on1Y the d:,'k-..a on th.- scatteri-n- phnsec
I
Card 2/3 of small eneroicu, prove!, the renult of C. Pul,,.pi Ind

Tlie Application of Dispersion Relationu to the
-Scattering at Lorr Ener'iez
C,
A. Stanahell-ini, 11ouvo Cim., 19,57, Vol. 5, P. 1303. For the
-,,7- t %I
p-scatterinC; Iae conclusions from the diopersion relations
do not coincide vith the experiment, however. This dio-
.-Cree-ement is not so jreat at small energies as it is ;-t
great energies. The reasons for the lcckin~; a6reeme;-A-1 nre not
clear as yet. The contributiun of the mesic ato:.i dec-erveo
special investigation. Additional experiments and :in c~-aot
elaboration of the experimental results would be desirable.
Of especially great value would be the investi,7,,--tion of the
polarization of recoil nucleons and of the interfereace rith
the Coulomb scattering. There are lo references, 4 of -;.,hich
tire Slavic.
ASSOCIATIOII: United institutefor Nuclear Renearch (Ob"yedineiln,,y i~istitrt
,,a&L4erjtyj-'
d . _I issledovaniy)
SUBMITTED: Ar.&ust 31 195,11
AVAILADLE: Library of Cor~;ress
Card 3/3 1. Pions-Scattering-Theory 2. Mesons-Scattering-Theory

-AUTROR: Lapidus, L. I.
SGV/56-~4-3-53/55
TITLE: The Problem of the Interaction Between Hyperons and
Nucleons (K voprosu o vzaimodeystvii giperonov s
nuklonami)
PERIODICAL: Zhurnal Eksperimentallnoy i Teoreticheskoy Fiziki, 1958,
Vol. 34Y Nr 3. pp. 777-779 (USSR)
ABSTRACT: The fact that the parity in the decay of hyperons is not
conserved can be made use of for the investigation of the
interaction between hyperons and free nucleons as-well as for
the investigation of,hypernuclei. The observation of the
asymmetry between up and down orientation of the decay
products with respect to the scattering plane can serve
as direct method for the determination of the spin-orbit
dependence of the Y-N-forces. The fact that hyperons are
produced in the n-N- and K-11-interactions obviously speaks
in favor of the existence of a (LS)-dependence of the
forces. For a direct proof, however, the asymmetry between
up and down orientation in the decay of the hyperons
Card 1 polarized in the elastic Y-N-scattering must be observed.

The Problem of the Interaction Between Hyperons ana s(YV/56-34-3-53/55
Nucleons
The investigation of the asymmetry between up and.down-
brientation with respect to the plane of the production
of hypernuclei can be used for the investigation of the
structure of the hypernuclei as well as for the direct
determination of the spin of the hyper fragment. The author
investigates some of the consequences of the unitarity and
the symmetry of the S-Batrix for the Y-W-interactions. When
the energies of the A -particles are less than 150 MeV
only an elastic scattering is possible in the A -N-
collision.~This situation was analysed in connection with
the N-N-scdttering. When the energy of the A!-Particles
is more than 150 MeV besides elastic scattering also the
processes of the transformation of A -particles into
hyperons become energetically possible. All processes of the
unitary and symmetric S-matric are given here. The taking
into account of the symmetry and the unitarity of the
S-matrix makes it possible to express the 6 independent
elements of the S-matrix by the 3 scattering phases
Card 2/1 61162'63 as well as by the 3 mixing parameters T, E), Y.

The Problem of the Interaction Between Hyperons and SCVb6-34-3-53/55
Nucleons
In the taking into account of the isotopic invariance
the amplitudes of the interaction of Y_ -particles with
nucleons can be expressed by the amplitudes R 3 and R1
of the T -N-scattering in the states with T - 3/2 and
T = 1/2. A taking into account of the isotopic invariance
decreases the number of necessary parameters to 4-
A relation between the cross sections and the parity of the
polarizations of the _& -particles and the nucleons results
from the relation
T
S12 - _T2 S 13
By generalizing the theorems by Vollfenshteyn it is, for
instance, possible to bring into connection the azimuthal
symmetry of the nucleons and 7 -hyperons (when the
particles are polarized) in the transformation A
with the polarization of the same beams (when the
are not polarized).
Card 3 There are 5 references, 3,0f which are Soviet.

'AUTHORt
TITLEs
PERIODICAL:
ABSTRACTt
Card I
Lapidus, L. 1. 56-34-4-22/6o
The Reversal of Time and the Polarization Phenomena in the
Reactiono With I-Quanta (Obrashcheniya vremeni i polyarizatsion-
nyye yavleniya v reaktoiyukh a y-kvantami)
Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1958,
Vol. 34, Nr 4f PP. 922 - 930 (USSR)
This work examines the polarization phenomena in the photo-
production Of PiOnB and in the Compton effect at nucleons. The
invariance o.' the interaction in the reflection of the time
leads to relations not only between unpolarized (i.e. averaged
over the spins) but also between the polarization phenomena in
the mutually inverse reactions. This work also generalizes the
theorems by L.Wolfenstein (Reference 1) to reaction with y-
-quanta. The condition of the unitarity of the S-matrix which
comprises the elastic scattering of pions by nucleons -p -p,
On --+ On; +n -> +n. Op --I Op; the exchange scattering -p On,
+n 7n, permits it in any state to introduce 3 real

T~e Reversal of Time and the Polarization Phenomena 56-34-4-22/6o
in the Reactions With y-Quanta
phases and 3 displacement parameters. This makes it possible to
determine the number of the necessary experiments, which de-
creases in case of the consideration of isotopic invariance.
The unitarity condition is considered in a supplement. First
the amplitudes of the photoproduction of pions and of the
radiation capture of a negative pion are determined step by step.
The trial of an experimental investigation of the photoproduc-
tion by the investigation of the radiation capture of a nega-
tive pion by a proton might be successful. Although these experi-
ments are very difficult one might obtain by them d14ta on the
photoproduction by monochromatic y-quanta at a free neutron.
The authors first discuss the photoproduction of the pions
and the radiation capture. The amplitude of the photoproduction
is represented in the form M- a+96'. The quantities a reap. b
must be a pseudoscalar resp. a vector. The process of computation
is pursue'd step by step. The author examines also the cross
section of the photoproduction of a meson by polarized y-quanta
at an unpolarized target. The next paragraph deals with the
Card 2/4 Compton effect. Some conclusions: The general result of this
L)

THe Reverfial of Time and the Polarization Phenomena 56-34-4-22/6o
in the Reactions With y-~uanta
work is the extension of the conclusions of the invariance
in case of variation of the sign of time to reactions with
participation of y-quanta. The result is of theoretical and
also of practical interest, for the investigation, e.g. of the
polarization of the nucleons in the photodesintegration of a
deuteron gives the same informations, just as well as the
radiation capture of a polarized nucleon. The study of the pola-
rization of a 1-quan-I~Lmin the radiation capture of a neutron
by a proton is equivelent to the study of the cross section of
the photodesintegration of a deuteron by polarized y-quanta. For
the relation by Wolfenstein it is essential if the spatial parity
is kept up or not. There are 22 references, 8 of which are
Soviet.
ASSOCIATION: Ob"yedinennyy institut yadernykh isaledovaniy (United Institute
of Nuclear Research)
Card 311

AUTHOR:
TITLE:
PERIODICAL:
ABSTRACT:
Card 1
Lj1pidus, L, I~ S OV/5 6 --- 31 4 - 5 -14 /61
Polarization in HJgh Energy Elastic Scattering (Polyarizatsiya
v uprugom rasseyanii pri vysokikh energiyakh)
Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1958,
vol- 34, Nr 5Y PP,. 1148-1153 (USSR)
This paper discusses the problem of the polarization phenomena
at high energies. The author finds the particularites of these
polarization phenomena. According to the approximation used
by the author in the expression for the scatterin&ross section
(averaged over the spins) there are "diffraction terms". The
author first investigates the elastic scattering of particles
with spin 1/2 on particles without spin (cased (0, 1/2))~ The
author deals with this problem in a manner that is different
to that of some earlier papers. Without explicitly introducing
the interaction potentials, the author determines the absorp-
tion coefficients K4 and K
1 2 and the~~efraotion indices ni and
n2~ Calculations are carried out for an infinite absorpiion
and also for the case without refraction ("Gray absorbing nucle---
us"). The expressions for differential and for the total elastic
scattering are explicitly given . The polarization phe-

Polarization in High Energy Elastic Scattering SOV/56--34-5-14/61
nomena are then taken into account. In the energy region in
which scattering phases are purely imaginary, there is no
azimuthal asymmetry, An expression is then given for the
polarization P pu after the scattering of the polarized beam,
The polarization P uu is connected with the fact that the re-
fraction indices nj and n2 are different from the value I.,
The maximum value of polarization corresponds to the values
nj=1 and K2=0' In this paper electromagnetic effects are not
taken into account, but the taking into account of electro-
magnetic effects is essential in some cases and may be of
eminent interest for the electromagnetic properties of the
nucleons (relaxation of the magnetic moments). The qualitative
results, without respect to P uu found for the elastic scatLering
of particles with spin 1/2 on a target without spin (case
(0, 1/2)) hold also for the cases (1/2, 1/2) (nucleon - nucleon
scattering) and (1,0) (scattering of deuterons on particles
without spin)7 For imaginary phases of 11 - 11 - scattering
Card 2/-"A-1 PuU is equal to zero and the cross section of the scattering

Polarization in High Energy Elastic Sgattering SOV/56- 34--5-14/61
of a polarized beam on a non-polarized target does not contain
an azimuthal asymmetry. The number of the necessary independent
experiments, in the case of imaginary scattering phases, is
equal to the number of the term of the amplitude. The author
then investigates the case (1,0), considedrta'~Fthe imaginary
phases. The results of this paper lead to the following con-
clusions: At high enereies,where the elastic scattering in a
high degree is determined by the non-elastic processm,it is
possible to obtain nucleon beams with a considerable value of
polarization. The existence of such beams makes it possible to
carry oit-additional experiments. Polarization experiments lead
to a sensible method of investigating the spin effects in
elastic scattering. There are 15 references, 6 --.f which ares)vift.
ASSOCIATION. Ob"yedinennyy institut yadernykh issledovaniy (United Institute
of Nuclear Research)
SUBMITTED: November 19, 11057
Card 3/

24(5)t 16(o)
UTITIOHS
TITLE:
PERIODICAL:
ABSTRACT:
Card 1
Bilen'kiy, S. MI., L11~lielllo~
Puzikov, L. D. , Ryndin, R. 1J.
On the Determination of the Matr-ix for ~)je "eoct-jo2j
a+a' --> b+b' (0b opredelonii matritsy reaktsii a+,-' --- Yb +b
Zhurnal eksperimentallnoy i teoreticlies]-oy fizil-i,
Vol 35, Nr 4, PP 959 - 961 (USSR)
Wolfen--tein (Vollfenshteyn) and Ashkin set up a
general expression for the scatterinC; amplitude2 of
particles with spin 0 and 112 on particles aith spin
1/2 on the basis of the invariance conditions in
snace revolutions and reflections and ti-ic revers-~l.
Proceed-inj from there expressions, and by usi2,.-- the
unity Df the S,matrix, Puzikov, Ryndin and Srnorodinskiy
(Ref 2, investi,ated the question as to hovi nany ex-
periments are necesnary in order to obtain a complete
determination of the scatterin,- amplitudes in tlhece
cases. The authors of the present paper investi~;ate
the .-eneral case of a reaction of the scheme a+a' ---.--b+bl.

On, the Determination of the Matr!x for the Reaction 2
a+a' b+bl
The number of complex scalar functions defining the
reaction mz~Arix M is determined with the aid of the
conditions of invariancP -ith respect to space rota-cions-
and reflections. Time reversal invariance leads
to relationsbetween polarization effects in direct
and inverse reactions. An expression for the amplitude
of the process and another for the ratio between the
matrices of direct and inverse direction is first
given. On the basis of an example of 2 channels the
number of experiments is determined that is necessary
for a complete determination of the reaction matrix.
In conclusion the authors thank Ya4A.Smorodinskiy for
discussing the problem dealt with. There are 3 references,
2 of which are Sovipt.
ASSOCIATION: Obl'yedinennyy institut yadernykh issledovaniy (United
Institute for Nuclear Research)
Card 21~1

!24(5)
AUTHOR:
TITLE:
Lapidug
sov/56-35-6-41/44
On the Problem of Verifying the Invariance of Interaction in
the Inversion of Time (K VOPrOBU o proverke invariantnosti
'vzaimodeystviya pri obrashchenii vremeni)
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1958,
Vol 35, Nr 6, PP 1580-1561 (USSR)
ABSTRACT: Determination of the non-invariance of weak interactions in
spatial inversions and in charge-conjugation considerably in-
creased interest in a detailed investigation of the symmetry
properties of strong interaction. The present paper aims at
pointing out the possibility of an invariance of different in-
'-teractions in the case of time invariance. This'possibility is
,based on the connection of polarization phenomena in inverse re-
actions (Refs 1-5)- Recently, a verification of the equality of
polarization and asymmetry in the case of elastic scattering
was suggested for the investigation of the symmetry of strong
interaction for,an inversion of time (Refs 7,8,9,10). By using
the results of referencee 1-5 it is possible to carry out an
Card 1/3 analogous verification also by means of various nuclear reac-

SOV/56-35-6-41/44
Ori the Problem of Verifying the Invariance of Interaction in the Inversion
of Time
.tions. Thus, the polarization of the neutron in the reaction
d + d - n + He3 (if the deuterons are not polarized) agrees
exactly (up to the usual factor) with the asymmetry in the
cross section of the inverse reaction n + He 3 - d + d (if the
neutrons are polarized). Verification of the connection between
polarization and asymmetry and. between complicated relations is
also a verification.of the invariance of interaction with respect
to an in-version of time. Also the reaction p + T =*- n + He3 is
suited for this purpose. Among the reactions with participation
~of y-quanta, the reaction n + p _- d + y is suited for this
purpose. The reaction p + p d + IT+ is suited for the investi-
gation of the time-reversibility of pion production processes.
The reaction K + d -0- 17 + p can be used for the investigation
of interaction symmetry under participation of strange parti-
cles. Also the investigation of polarization phenomena in the
last-mentioned reaction might help to solve the problem as to
Card 2/3 whether there is a connection between the low degree of asym-

SOV/56-35-6-41/44
On 'ihe Problem of Verifying the Invariance of Interaction in the Inversion
of Time
metry in the decay of the 7---particle (which iB produced in the
reaction-lut + H - t- + K) and the threshold value effects,
There are 15 references, 8 of which are Soviet.
ASSOCIATION: Obl'yedinennjy institut yadernykh issledovaniy (United Institute
for Nuclear Research)
SUBMITTED; September 6, 1958
Card 3/3

24(0) SOV/89-6-6-6/27
AITTHORSi Lapidus, L. I., Okun', L. B.
TITLE: The Physics of High Energies (Fizika vyaokikh energiy).(Survey
on the Material of the VIII International Conference on Physics
of High Energy)( Obzor materialov.VIII Mezhdunarodnoy.konfer-
entaii po fizike vysokikh energiy)
PERIODICAL: Atomnaya energiya, 1959, Vol 6, Nr 6,.pp 648 - 656 (USSR)
ABSTRACT: The authors give a survey on the subjects which were dealt
with on this Conference (Geneva, June 29 - July 5, 1958). At
first, the synoptic lectures are mentioned.and then the subjects
of the lectures (without mentioning the individual lecturers)
are divided as follows: detection.of.new particles, the funda-
mental particle properties, the interaction between the parti-
oles, the weak interaction, the non-conservation.of parity,
the non-conservation of the charge parity, the conservation
of combined parity, the longitudinal-neutrino,.the "two-compo-
nent" electron, the vectorial and.axially-vectorial interaction
variant, the universal weak interaction, the neutron decay,
the muon decay, the pion decay, the decay of strange particles,
Card 1/2 the capture of muons by nucleons, the rule T - 1/2, the electro-

The Physics of High Energies. .5,-rvey on the Material SOV/89-6-6-6/27
of the VIII International Cp-:- kence on Physics of.High Energy)
magnetic the strong interaction,.the structure
of nucleons, the ;acleon-nucleon interact-ion..(ODMMunications
of a group of coll'borators W?0-9 Shu-f en (China), Danish
Poland), Dalkhazhav (Mongolia), Vishki (Roumania), Markov
Bulgaria) on p-p interaction at 9 Bev, investigations on the
~
synchrophasotron of the Obl'yedinennyy institut yadernykh issle-
dovaniy (Joint Institute for Nuclear Researches), moreover,
a communication by Blokhintsev A al on diffraction scattering),
the antinucleons, the interaction between pions.and nucleons,
the interaction between'
.~-quanta with nucleins,-the production
of strange particles and the interaction of stran-e particles.
In conclusion, the theoretical results obtained a-,e briefly
dealt with and a criticism of the Heisenberg theory (co=uni-
cation made by Bogolyubov).iB..made. The 9th International Con-
ference on Physics of High Energies will take place in the
Soviet Union in the town of Kiyev in July 1959-
SUBMITTED: February 13, 1959
Card 2/2

24.(5)
AUTHORt Lapidus, L. I. SoV/56-36-'11-40/62
TITLEs On the Estimation of the Contribution of Nucleon-Antinucleon
Interaction to the Dispersion Relation for the Scattering of
Nucleons by Nucleons (Ob otsenke vklada nuklon-antinuklonnogo
vzaimode-,stviya v dispersionnoye sootnosheniye dlya rasseyaniya
nuklono-v nuklonaini)
PERIODICAL: Zhurnal eksperimentalinoykteoreticheskoy f-iziki, 1959,
Vol 36, Nr 1, pp 287-290 (USSR)
ABSTRACT: The investigation of tile contribution mentioned in the title
would be of great intemst in connection with the determination
of approximation relations as well as from a general point
of view. The author endeavors to estimate this contribution
at low energies by means of an already previously described
method (Ref 3) which is based upon the theory of the
effective radius. First; the amplitude for NN-forward-
scattering is written down. The first part of this paper
deals with the scattering of neutrons by protons. Calculations
are followed step by step. Taking the deuteron state into
account-is far more essential than the one-meson term, which
Card 1/3 would be of importance for7CN-scattering. The term taking

On the Estimation of the Contribution of SOV/56-36-1-40/62
Nucleon-Antinucleon Interaction to -the Dispersior~ Relation for the
Scattering of Nucleons by Nucleons
the nonelastic process - annihilation - into account,
exercises practically no influence; it is not greater than
the error committed in calculati 'ng the contrib-.,ztion of the
deuteron state. Under the c:_-nditions assumed here, the latter
amounts tc +(5450 t '13), and the c3ntribution of the
one-meson state is-162. A direct com-oarison between the
dispersion relations a:ad th-_ exre~imental data on
n-p-saatterir.g a-5, low aneD?gies shows that- the contribution
made by nucleon-an-tin-acleon interaction-to the scattering
of rucleons in this eneTgy rar-ge '.'s small. Therefore, the
exact dispersion relation car-, within this energy range, be
replaced by the approximated dispersion relation without any
major error being committed. The second part, of this paper
deals with proton-proton scattering. Variations with respect
to the results obtained in the first chapter are mentioned
in short. In corclusion, the scattering of nucleons in the
state with T = 0 -.a-dealt with in short. In this case the
p-states play a more important part than in the cases
Card 2/3 previously investigatea. The approximated relations derived

On the Estimation of the Contribution of SOV/56-36-1-40/62
Nucleon-Antinucleon Interaction to the Dispersion Relation for the
Scattering of Nucleons by Nucleons
in the present paper can be of use for the analysis of
experimental data on NN-scattering within the range of
low energies, especially if more exact data concerning
NN-scattering in the p-states will be available. The
author thanks V. Z. Blank (deceased) and P. S. Isayev for
several useful discussions.and Ya. A. Smorodinskiy for
advice. There are 14 references, 9 of which are Soviet.
ASSOCIATIONt Ob"yedinennyy institut yadernykh issledovaniy (United
Institute for Nuclear Research)
SUBMITTEDt July 31, 1958
Card 3/3

.2-1 (1.)
AUTHORS: Lapidus, L. 1. j Chou Xuang-chao SOY/56-37-1-41/64
TITLE: On the Problem of Investigating the Interaction of Pions With
HyperonB (K voprosu ob izuchenii vzaimodeyBtviya n-mezonov s
gipeTonami) .
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy Mikig 1959, Vol 37,
Nr 10), pp 283 - 288 (USSR)
ABSTRACT: The authors investigated the reactions X+N -30K+Np K+N
-4 Y_(A)+n0 7-(A)+-n -4 7-(A)+n within the -range of such ener-
gies of the K-meson where the channelsoan be neglected in which
2 pions originate. As the elements of~the S-matrix for the a-
bove-mentioned reactions are connected by the conditions of
unitariness, the following problem results: Which data on the
amplitudes of the scattering 1:(A)+% ---~ Y-(A)+n can be obtained
by investigating the cross sections and polarizations in the
Z f- -
processes K+N --* K+N and K+14 ---~ yrM+n? Part I of the present
%, I/
paper tries to solve this problem. The spin of the K-meson is
set equal to zero. The interactions are assumed to be invari-
ant with respect to a reflection of space, against a reversal
Card 1140 of time, and against a turning in the isotropic space. The

On'the Problem of Investigating the Interaction of SOV/56-37-1-41/64
Pions With Hyperons
above reactions are described by the elements of the T-matrix
(iT=S-l) which are diagonal with respect to the quantum number
of the isospin. The spin structure of the scattering amplitude
aacan be represented in the form a. = A a+iBa(Irn it] , the unit
vectors it and 'n;, respectively, being parallel to the momentum
of the particles in the initial (final) state within the cen-
ter-of-masB system. Aa and Ba denote.2 complex scalar functions
of the energy and of "A"'ah. The authors analyze the conditions
for a determination of the T-matrix from experimental data. It
is then investigated which information can be obtained by only
studying the processes K+N ---* K+N and K+H -4 Z(A)+u. A table
contains 8 reactions of this type as well as their amplitudes.
For the n- M-scattering, the phase difference in the individual
states with the isospin zero is determined by investigating re-
actions with K-particles. Chew and Low as well as L. B. Okun'
and I. Ya. Pomeranchuk, suggested to investigate nonspherical
Card 2/ collisions as a method of determining the interaction between

On the Problem of Investigating the Interaction of BOV/56-37-1-41/64
Pions With Elyperons
unstable particles. In the authors' opiniont this method is'
suitable for determining the amplitude of the scattering
7- (A)+% -4 E(&)+n by use of the processes Z+N --> E(A)+N+%,
A+N -~ Z+N+x. The authors then investigate a reaction of the
type t~+p -4 A+p+n+ within the range near the pole *
(PI. - PA)2- 92. Within this rangel the process 1~ -->A+71+1
% +p -4 71++p predominates. If in that range where the pole term
predominates the vector of polarization of the A-particies
originating by the reaction e+p -4 A+p+%+ could be measuredq
not only the effect of the non-pole terms could be estimated,
but also data on the relative parity of the A and Z-hyperons
could be obtained. In some'cases, the investigation of the po-
larization of the product6 in peripheral collisionB may de-
liver data on the parity of unstable particles. The authors
thank M. A. Markov for useful discussions. There are I table
and 4 references,, 2 of which are Soviet.
Card 31~

-16.8100, 24.66oo 76987
sov/56-37-6-27/55
AUTHORS: Lapidus, L. I., Chzou Guan-chzhao
TITLE: Dispersion Relations for Scattering of -y-Quanta
by Nucleons
PERIODICAL: Zhurnal eksperimental 'noy i teoreticheskoy fiziki,
1959, Vol 37, Nr 6, pp 1714-1721 (USSR)
ABSTRACT. Dispersion equations were derived for the scattering
of ly-quanta by nucleons with one subtraction. For
forvlard scattering, six relations were obtained which
contained no unknown constants or infrared divergenceg,
The evaluation of the imaginary parts of the amplitude
was done with the aid of unitary S-matrix. At energieM
of Y-quanta below the threshold of IT-meson pro-
duction, the magnitude of the imaginary parts
Ri .... R6 was small. Above the threshold
R,.,.R6 were determined from the unitary
condition of S-matrix with the OMiSBion of terms
Cardj/~_

Dispersion Relations for Scattering of 76987
7-Quanta by Nucleons sov/56-37-6-27/55
that are quadratic in respect to the electromagnetic
interactions:
i (- W, k, a) - a! (k', e', k, e, cr) I
A2 (q,,) (q,. W, e', a) T,,. (q., k, e, a) I +
+ 'c ~ da (%) I T.-,t.,, (q.. W, e', r) T,, (q0, k. e. a) (38)
2-,
where the amplitude of the photoproduction of pions
on protons is:
T,,, (q, k, e, a) = iE, (ae) - M, kel q) - i (al I kel q 1))
M3(2 (I ke) q) + i(a I I kel q 1)) E2 ((ak) (eq) + (cre) (kq)) (39)
The total cross section of 7-quanta interactions
was shown to be:
(4,,r/,,c) Im I Ri,(()O) + Ru(oo) I = 4. 11 E~ A- I M. 12 A- 2 1 M. 111 - I E21216); (41).
Crird 2/4

Dispersion Relations for Scattering of 76987
Y-Qianta by Nucleons sov/56-37-6-27/55
With the aid of the above equations, it was shown
that:
"0
as (V) _L 22 dv' E* I'+ I I
20 dy'l A.,
Ren, (V) "0 h2 +14
ft ~7 V's - V2
V.
00
I$, (v) j28. (v) I+ dv* (a* + c
2Re I M?, EMO 1.
;c- - Re QV) -
v.
v$ d.,- I E" 12 + I IYO it
Re ls~ W - V., W 1[2
2M V. V
Re C (Q.,. 8,) = Re C (82, in:,) co d,,' (RO E; M.)+ + (Re E; M,)- (42)
V.j ,I
Card 3/4 The contribution due to the production of several

Dispersion Relations for Scattering of 76987
y-Quanta by Nucleons sov/56-37-6-27/55
7r-yresons and other particles was disregarded. There
are 1.4 references, 7 Soviet, 7 U.S. The 5 most
recent U.S. references are: M. Gell-IMann, 1.1. L.
Goldberger, W. E. Thirring, Phys. Rev., 95. !6-12,
1954; A. I.. Logunov, A. R. Prenkin, Nucl. Poys., 7,573)
1958; T. Akiba, J. Sato, Prog. Theor. Phys., 19, 9,
1958; 14. Kawaguchi, S. Minami, PrQgr. Ttineor. Phys.,
12, 789, 1954; F. E. Low, Phys. Rev., 96, !428, 1-054.
AMOCIATION: Joint Inst. Nuclear Research, USSR (Obledinennyy
institut yader-nykh i3sledovaniy, SSSR)
SUBMITTED: JulY 1, 1959
-
1 "~
~"d 4/4

LAPIDUS., L.1.2 and CHOU KUANG,,;GHAO
"Elastic Scattering of -Rays by Nuclein
"Elastic Scattering of Quanta by Dautrons Below the Pion Production
Threshold."
"Inelastic Scattering in the Final Statee and the Threshold Anomalies."
"Isotopic Spin Conservation in Meson Scattering and Production."
papers presented at the International Conference on High Energy Physics, Rochester,, N.Y.
anVor Berkly California, 25 Aug - 16 Sep ig6o.

LAPIDUS, L.I.; CHZHOU GUAN-CHZHAO [Chou Ruang-chaol
Nucleon scattering of d -quanta near the threshold of meson gen-
eration. Zhur. eksp. I teor. fiz. 38 no.1:201-211 Jan 160.
(MIRA 14:9)
1. Ob"edinennyy institut yadernykh issledovaniy.
(Gamma rays--Scattering) (Nucleons)

84715
S105616010391001103510411XX
B006/BO56
AUTHORS: Lapidus, L. I., Chzhou Guan-.chzhao
TITLE: The Dispersion Relations and an Analysis of the Energy
Dependence of the-Cross Sections Near the Threshold of
New Reactions __11
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1960,
Vol. 39, No. 10), pp.112-119
TEXT: As already ahown in a previous paper (Ref. 1), the dispersion re-
lations. in the case of (yN)-,scattering near the pion production threshold
lead to jumps of the derivatives of the real part of the amplitude if the
energy dependence of the reaction cross section near the threshold is
taken into account. (The nonmonotonic course of a(Q near the pion produc-
tion cross section was dealt with phenomenologically in the diploma dis-
sertation of G. Ustinova, and also in Ref. 2). In the present paper the
application of the dispersion relations is made for an analysis of the
energy dependence of the scattering- (and reaction) amplitudes near the
threshold of a new reaction a+b -- c+d. The occurrence of jumps of the
Card 1 /A

84715
The Dispersion Relations and an Analysis S/056/60/039/001/035/041/Xx
of the Energy Dependence of the Cross B006/BO56
Sections Near the Threshold of New React~ons
derivatives of the forward scattering amplitudes leads, within the framc-
work of dispersion relations, to an analysis of the integrals of the form
(0/4n 2)p dca cT(W) , where a(W) is the total cross section, which com--
0 k =+Co
1 0
prises the inelastic (cf.) and the elastic (a ones. The application of
the dispersion relations makes possible an investigation, both of the
"local effects" near the threshold, ihich, in certain cases, lead to the
occurrence of peaks, dips, and steps, and of the general influences
exerted by inelastic processes. An investigation of (yN) scattering shows
that of the 6 scalar amplitudes describing the transition matrix, only
two contain "local efiects". The existence of the other highly energy-,
dependent amplitudes renders analysis more difficult. For a detailed
analysis of theinfluence exerted by the inelastic processes it is necessary
to investigate the dispersion relations for momentum transfer
Q2 / 0; the authors, however, confine themselves to Q2 = 0 for the scalar
Card .2/s

84715
The Dispersion Relations and an Analysis S/056/60/039/001/035/041/XX
of the Energy Dependence of the Cross B006/BO56
Sections Near the Threshold of New Reactions
2
function AM = Sp MP'Q =0), the trace of the scattering matrix, whose
imaginary part is related with the total cross section. The relations
obtained are, among other things, used for the purpoqe of investigating
the photoproduction of neutral pions y + p --.* p + n0 near the threshold
of the reaction y + p --* n + n+. Further, an investigation of the
anomalies near threshold is dealt with. General relations are derived
which represent the nonmonotonic variation of the forward scattering
amplitudes as an energy function. A study of the energy dependence of
one of the amplitudes of elastic yd forward scattering shows that, from
the formulas obtained, it is possible to estimate the role of the deuteron
photodisintegration in deuteron polarizability. It is also shown that a
consideration of the influence exerted by inelastic processes and especial-
ly by deuteron photodisintegration is of importance in the analysis of
yd scattering within a wide energy range. A. I. Baz' is mentioned in the
paper. There are 1 figure and 9 references: 4 Soviet and 5 us.
ASSOCIATION: Ob"yedinennyy institut yadernykh issledovaniy
(Joint Institute of Nuclear Research)
Card 3/
.t

83186
S10561601039100210231044
B006/BO56
AUTBORS! Lapidus, L. I., Chyhan Guan-hy-him
T1.TLE: Final-stat"e Inelastic Intsraotionl?and 'the Peculiarities
Near. the Threshold
PERIODICAL: Zhurnal eksperimental~noy I teoreticheakoy fiziki, 1960,
Vol.. 39, No. 2(8),. Pp,, 364-.3,72
TEXT,- it -is well known that anomalies occurnear the threshold of oerta,,r.
reaoti.onq,-.The. yresent papar makes a Poptri,b.ution towards investigating
them6 It is, shown that the energy spef.,trum Of Darticle a fr.om the
A + B -1b, 6 '+ C + D reaction near the threshold of the C -~ 11, -4u B .; P re-
action may take a non-monotonic coureec is an example, the authors choose
the. K-meson spectrum of the N + N -.A +. N + K reaction in the region of
A-N pair energfes near the "threshold of' 'the A + N Z -4 N reac ti on.
Shape* and nature of the 'spectral anomalies depend , besides on ' the cross'
s6ation, of the now inAlastio process; also on spin and parity of the
partioles, An investigation tif the anomalies*may, if carried out with
suffioient aaouracy,. be of assi.stance when determining the propert,.es
Card 1/3

83186
Final-state Inelastic interactions and the 5/056 60/039/002/023/044
Peculiarities Near the Threshold B006/~056
of the produced particles. The authors assume that the N + N - Y + N + K
reaction in the final state may be described by singletand triplet s-waves
of the Y-N system. In Part 2 of the paper, the authors describe a phenom-
enological analysis of the kinematics of the reactions, and investigate
especially the process p + p -oA + p + K below the p + p --M 0 + p +-ere-
action threshold. Formulas are derived for the energy spectrum of the
K-mesone and the polarization of the A-particles and nucleons (in the
case of a polarized incident nucleon beam). In Part 3, the inelastic in-
teraction in the final state is investigated. Proceeding from the uni-
tarity of:the Sa-matrix and the analyticit,* of the reaction amplitudes,
the authors give a general formulation of the theory of inelastic inter-
action in the final state. In Part 4, local anomalies are investigated for
the K-meson spectrum of the N +IN --*.A+ N + K reaction in the E -hyperon
production threshold. In Part 5, the results obtained are discussed
In order to prove the anomalies, i.e., the non-monotonic nourse of ;he
energy spectrum of particle a experimentally, good energy resolution is
necessary in addition to high degree of accuracy. Finallyi the non-mono-
tonic particle energy curves of :~ ',umber of other processes are discussed.
In the appendix, the authors give a theoretical analysis of Y-K pair
Card 2/3

83186
Final-state Inelastic interactions and the S/05 60/039/002/023/044
Peculiarities Near the Threshold B006YB056
pro dUction in np collisions,,and discuss the scalar K-meson production
in WN collisions. V. N. Gribov (Ref. 8) is mentioned. There are
10 references: 4 Soviet and 6 US.
ASSOCIATION: Ob"yedinennyy institut yadernykh iseledovani.y
(Joint Institute of Nuclear Research)
SUBMITTED: February 23, 1960
Card 3/3

84412
S/056/60/039/004/030/048
B006/BO63
AUTHORS: -Lapidus, L. I., Chzhou Guan-chzhao
TITLE: Elastic Scattering of Gamma Quanta by Nuclei
W
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1960,
Vol. 39, No. 4(10), pp. 1056 - 1058
TEXT: In a previous paper the authors studied the scattering of gamma
quanta by deuterons below the pion production threshold using dispersion
relations. They now describe a theoretical study of the scattering of
low-energy gamma quanta by nuclei. Dispersion relations have already been
used in Refs. 2 and 3 to analyze the elastic scattering of gamma quanta by
nuclei, but only for energies aboVe the (7,,N) threshold. The well-known
non-monotonies near the (r,n) threshold appear when the production of
particles in the S-state is taken into account. Dispersion relations not
only allow the Wigner-Baz' effect to be treated but also the effect of
inelastic processes on the energy dependence of the elastic scattering
amplitudes to be considered. The authors believe that within the framework
of dispersion relations, the first rp.yimijr. of the ramma-cL)antnr--_ ~~c~,tteri_ng
Card 1/3

84432
Elastic Scattering of Gamma Quanta by Nuclei 5/056/60/039/004/030/048
B006/BO63
cross sections is related to dispersion effects near the threshold. The
theoretical study is restricted to forward scattering in dipole approxima-
tion, which is in good agreement with experimental results up to about
30 Mev. Proceeding from the formulas for the scattering amplitudes for
spin-0 and spin-1/2 nuclei, the authors study the energy dependence of the
elastic-scattering cross sections near the photonuclear reaction threshold.
The energy dependence of the scattering amplitudes was calculated from the
dispersion relations (3) and experimental data from Ref. 6. The results
obtained are illustrated in Fig. 1. After considering a number of experi-
mental data, an energy dependence of the scattering cross section is
obtained which is illustrated by Fig. 2, and is in qualitative agreement V/\
with the experimental results. For the scattering cross section of
aluminum (for which the experimental data are taken from Ref. 6) near the
28 2
first maximum, one obtains a value of about 2-10- cm ,which is close
to the experimental value. As g4.ant resonance makes also a contribution tc
this process, the half-wiatli ttains more than 2 Mev. Finally, the authorfj
discuss the possibility of calculating the polarizability a of the nucleus
from an absorption cross section which is known for a wide energy range.
Card 2/3

8h412
Elastic Scattering of Gamma QuaDza by Nuclei S/056/60/039/004/030/048
B006/Bo63
A formula for a is given-Numerically, one obtains - 2.10-39 CM3 for Al
and a - (0-70 � 0-05).10- 40 cm3for He4. The authors thank
2
Ya. A. Smorodinakiy for discussions. There are 2 figures and 7 references:
3 Soviet and 4 US.
ASSOCIATION: Ob"yedinennyy institut yadernykh issledovaniy (Joint
Institute of Nuclear Research)
SUBMITTED: May 12, 1960
Card 3/3

86go3.
B10561601039100510181051
BO06/BO77
AUTHORst L idus, Chzhou Guan-chzhao
TITLEt Elastic Scattering of -Quanta by Deuterons Below the
Pion Production Threshold
PERIODICAL: Zhurnal eksperimentallnoy i teoretioheskoy fiziki, 1960,
Vol- 39, No- 501), PP- 1286-1295
TEXT: This paper presents an analysis of the elastic scattering of ga a
quanta below the pion production threshold by employing the dispersion
relations and the unitarity conditions of the S-matriz. The scattering
of the gamma-quanta by deuterons belongs to those proc bsses whose ampli-
tude is mainly influenced by inelastic processes like the photodisintegra-
tion of the deuteron or the photoproduction. of mesons. So far the effect
of the pion photoproduction has not been examined, while that of the
deuteron photodisintegration has been dealt with in Ref. 1. The authors
limit their analysis of the rd-scattering to the forward scattering only.
The calculation of the dispersion integral is done by considering the
electrical dipole and magnetic dipole photodisintegration cross sections.
Card 1/1

869ol
Elastic Scattering of t-Quanta by Deuterons S/056/60/039/005/018/051
Below the Pion Production Threshold B006/BO77
A phenomenological phase shift analysis is first made and the imaginary
parts of the scattering amplitudes are expressed through terms which
characterize the deuteron photodisintegration. The dispersion relations
of forward scattering and the theorem of small energies are then studied;
the scattering of t-quanta by nuclei with an arbitrary spin is considered
in the low energy q1imit. The elastic td-scattering cross section is derived
phenomenologically as an energy function based on data*of the deuteron
photodisintegration. The dispersion integrals are estimated'for the
range E f-100 Mev. The real and imaginary parts of the amplitudes are
obtainei and problems concerning the polarizability of the deuteron and
the nucleons are discussed. It is noted that these results deviate greatly
in a wide energy range from those obtained by a momentum approximation.
In the energy range under consideration it is not necessary to allow for
the pion photoproduction. The results obtained for forward scattering are
also valid for.other scattering angles.in dipole approximation. A.M.Baldin,
V. I. Golldanskiy, and Ya. A. Smorodinskiy are thanked for discussions.
L. Landau, Te. Lif8hits, and A. B. Migdal are mentioned. There are 2
figures and 13 references: 8 Soviet, I Dutch, and 4 US-
Card 2/~_'

LAPIDUS, L. I., Dr. Phys-Math. Sci (diss) "Questions of Theory
of Strong Interactions," Dubna, 1961, 19 pp. (Combined Inst-4-
tute of Nuclear Research, Laboratory -of Nuclear Problems), 160
copies (KL Supp, 12-61, 248).

I&PIDUS, L.I.; CHOU KUANG-CHAO
On i+11 -,A (I ) +Y Processes* Dubna, Izdateltskii otdel Ob"edi-
nemogo in-ta iadeiWkh issledovanii,, 1961. U p.
(No subject heading)

,Lanuspj.J~.; CHOU KUANG-CHAO
On photon-nucleon scattering. Dubrm, Oblledlmnnyi Irl-t ladernykh
isoledovanii, 1961. 28 p. (MIRA 14:11)
(No subject heading)

I I LAPIDUS, L.I. - CHZHOU GUAN-CHZHAO [Chou Kuang-chao I
1, Role of the single-meson pole diagram in the scattering of gamma-
quanta by protons. Zhur.eksp.i teor.fiz. 4-1 no.1:291+-302 J3. 161.
(MIRA 14:7)
I. Ob"yedinenW institut vadernykh issledovaniy.
(Mesons) (Frotons) (Gamme rays-Seattering)

CHZHOU GULN-CHZHAO [Chou Kuang-chaol
K - ii + i processes. Zhur.fksp.i teor.fiz. 41
no.4:1310-1311+ 0 161. MPA 14: 10)
1. Obl'yedinennyy inatitut yadern;ykh issledovaniy.
(Ikclear reactionB)

IAPIDTJS,- L.I.; CHZHOU GUAIIi-CRMAO [Chou Nuang-chaol
Scattering of glquanta by nucleons. Zhur. eksp. J teor. fiz.
42 no.5:1546-'1553 11 161. (MIRA .14:12)
1. Ob"yedinennyy institut yadernykh issledovaniy.
(Gamma rays-Scattering)
(Thicleons)

LAPIDUS, L.I.; SARANTMA) V.R., tekhn. red.
[Scattering of ?--quanta and the polarizability of nuclei and
nucleons] Rasseianie T--kvantov i poliarizuerrost' iader i
miklonov. Dubna, Ob"edinenryi in-t iadernykh issIN 1962. 6 p.
(Gamma, rays-scattering) KMA 15: 6)
(Nuclei, Atomic) (Nucleons)

__.. -. LAPIDUS L I - SARAFTSK VA~ V.R., tekhn, redb
(Threabold oingularities in pion-nucleon exchange scattering)
Okoloporogovye ooobemosti v obmennom pion,-nuklonnom rasmismil.
Dubna, Ob"edinennyi !m-t iadernykh isal., 1962. 8 P.
(MIRA 15:6)
(Scattering (Physics)) (Mesons) (Nucleons)

LAPIDUS)-L. I.
"Threshold Anomalies in Exchange Pion-Nucleon Scattering"
report presented at the Intl. Conference on High-Energy Physics, Geneva,
4-11 july 196P
Joint Inst. for Nuclear Research
Laboratory of Nuclear Problems

7 Scattering by Protons and Polarizability of Nucleons"
report presented at the 11th Intl. Conference on High Energy Physics,
Geneva, 4-11 Jay 1962
Joint Institute for Nuclear Research, Laboratory of Nuclear Problems

6/056/62/043/003/047/C)63
3108/B102
Lapidus, L. I.
TITLEs: Threshold-singularities in pion-nuoleon exchange scattering
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, v. 43,
no. 3(9), 1962, 1053 - 1056
TEXT; Pion-nucleon exe Ihen.ge scattering n-+ p ---v, no + n was studied in
order to establish possible discontinuities in the energy dependence of
the differential crus section of this process. The shape, energy width,
and helght of t'he dii~continuities were investigated by the method 6f the
dispersion relationBIZUTF, 38f 201, 19601 39, 112,.1286, 1056, ig6o).
The forward scattering cross section, the real part of the scattering
amplitude T0, and its sq uare magnitude are shown in Fig. I as functions
of pion energy. Energy-dependent -deviations from the sc4ttering
amplitude are regarded as perturbations 66 not exceeding 1 mb with an
energ width of 6 a 5 Mev. Energy discontinuities in 6 are very sensitive
to di continuities in the total n+ and R - interaction cross sections.
Card

S/056/62/043/003/047/C63
Threshold singulalrities in... B108/B102
Perturbations of akV',) Wt cause discontinuities in the
m1he type 60(w t
real part of the cattering amplitude which amount at threshold energy t~
to about four ti s those caused by perturbations of the type 66((,j)
bk(U) - wjF. TLre are 3 figures.
,ASSOCIATIONt Ob"yedinennyy institut yadernykh isBledovaniy (Joint
Institute of Nuclear Research)
5 MITTEDt A i~ i1,-1962
P~.
Card, 2/0 2-

Iill3l
S/056/62/043/004/031/061
.-19 B106/B102
AUTHOR: L
TITLE: Scatterin6 of gamma quanta and Polarizability of nuclei
and nucleons
PERIODICAL: Zhurnal eksperimental.1noy i teoreticheskoy fiziki, v. 43,
no. 400), 1962, 1358-1361
TEXT: The mngnetic polarizability of nuclei, determined with the aid of
the dispersion relations for the Eamma scattering amplitudes, is found to
be considerably smaller than the electrical polarizability. This is due to
the role played by the'magnetic transitions during photonuclear processes,
wh~.ch, however, is less significant in heavy nuclei. Cohsidering the
quadratic frequency term in the expansion of the real part of the amplitude
R2' and considering the dispersion*relatioris for R, +R2 as well as for R 1-R2'
-one obtains for the polarizabilities of the proton
CO
2 2 2 + 1 2 2
a = 1 ('11 1 + 21.1 ) and
M IE '2 1 3 3' 2 6 -2
Card 1/2 t

.S/056/062/043/004/031/061
Scattering of gamma quanta and... B108/B102
OD
2 2 2 1 2 _ 1 2).
a + 2tZ 1 + Iz
e TE VtV2 -1 3 3 2 2
The amplitudes of magnetic (electrical) absorption in the expressions for
the electrioal (magnetic) polarizabilities are not large and leave the
whole term positive. Taking account of pion photoproducTion only in the
--state, _43- 3 _J9.10 -43 c ~.
resonance a one obtains aM1* 2 - 10 C= and a ?-j M These
values are consistent with experimental data. I I
ASISOCIATION: Ob"yedinennyy institiit yadernykh issledovaniy (Joint
Institute of Nuclear Research)
SUMITTED: April 11, ia~62
Card 2/2
i

LAPIDUS, L.I.
Interpretation of an experiment involving high-energy
neutrinos. Zhur. ekep. i teor. fiz. 44 no.2:755-758 F 163.
(MIRA 16:7)
1. Ob"yedinennyy inatitut yadernykh isoledovaniy.

V,3: -,

LAPIDUS, L,I,l doktor fiziko-matemat-nauk
Pbysics of weak interactions and the neutrinos. Friroda 52
no.6:5-8 163. (KERA 16:6)
1. Ob"yedinennyy institut yadernykh issledovaniy, Dubna.
(Pontecorvo, Bruno, 1913-) (Neutrinos)

ized',-*&69ei".i ta
on
Z
---SbUWE.-.-i~~erence -~Zem -and TkhniQues.
.-.on~low erature sicsv 3d, Rrague, 1963.
Of low tempereture ; proceedings of-the conference. Prague,
t and.-techniquea a
lc Hdttbe-.~of'.tbe:Czechosl. Academy of Sciences l964 232-236
6: e
imp,
g n atom reaction, particle accelerator target, pion scattering,
-AMUelear-scattering, proton scattering, electron scattering
M6~-author -briefly the new possibilities that the use of
---- reviews
'61~&iz6a'bydrogen targets uncovers for experimentation with elemmentnLIartLcles,
T.
.1-especially at high energies. An important role in the theory and Investigation of
--.-.1--pblarization. -- effects In scattering processes and nuclear reactions Is played by
equations that extend the vell )mown detailed-balance relations to include
...'interactions with a significant spin dependence. The author therefore shows b.Y
means of a simple example how knovledge of the sigr of the polarization makes it
possible to determine the-parit
_y of strange particles on Vhe basis of exact sym-
ry relations only. In iareicular, at the high energies made possible by modern
ih

ACC NR: AP7011379 SOURCE CODES UR/0367166/0041005/1063/1066
AUTHOR: Bilenfkly, S. M. Bilenky, S. M.; TA us RYMIn, R. M.;
Shekhter, L~ Sh.
ORG: Joint Institute for Nuclear Research (Ob"jedinennyy Institut yadornykh
issladovanty)
TIVU: Isospin conservation and polarization effects
SOURM Yadernaya Mika, v. 4, no. 5, 1966, 1063-1066
T
LOFIC TAGS: electron spin, strong nuclear interactionp particle
interaction
SUB CODE: 20
ABSTRACT: The reactions a + a' -;, b + b' are treated, vihere the particles
.a and a' (or b and bl) belong to the same isotopic multiplet, and the total
isotopic spin of the final (or initial) particles may take only one value.
Relationships have been obtained between polarization characteristics of such
reactions at the angles Ll andir - 0 ( C; is the c.mose angle)o These rela-
tionships are based on17 on isotopic Invariance and invariance under rota-
tions and reflections. Their experiiaental varification.would be a detailed
test of the isotopic invariame, of strong interactions*
Card 1/2

ACC NR, AP70i1379
Wo of the authors (Bilenlkiy and Lapidus) thank G. M. Osetinskiy for
useful discussion of the qiestions considered here. Ort . art. hast 24
1
for--ulas. E-sed on authors' FmS. Abst 'j
Ba t 401,393
-7- Ej FRS
Card 2/2

LAPIDUS L-S (Ilmspropetrovsk)
Sixilltude conditions In nodel testing taking Into account the
creep of naterialse Strol, vokht'i rasch, soor..2 no.6:28-29 160.
(KMA 1302)
(Wels aml modelnokirg) (creep of naterials)

BEEZANTRY, Vsevolod Glebovich, doktar takbn. nwkp prof 6; LIMOFONTOV,
Aleksandr Ivanovich, kand. tekbn. nauk, dote.j PLATOINOV., Yevgeniy
Vladimirovich, prof.;-SIDOROV9 Nikolay Nikolayevichp kand. tekhn.
naukp dots.; YAROSR=09 Vaevolod Alsksandravich, kand. tekbn.nauk,
dots.; GOLIDSHTM,, M.N., doktor tekbn. naukp prof.p retsenzent; -
TERIXTSKIY 9 V.P. , inzh., retsenzentj IAMUS*-I.S*-,,-.inzh. I retsenzent;
ZEFAMTSOV, IS., inzli., retsenzent; GIDTOVO' NeMe, inzh,, retsenzent;
SILINp H.S., #ph.,retsenzent; SURODEM, V.P.v inzh,p red.; )MITROVP
P.A.9 tekhn. red.
[Soil mechanics and foundation engineerin -, Mekbanika gruntavt osno-
vaniia i fundamenV. Moskvaq Voeb. izdatof Isko-poligr.. ob"edinenie M-va
putei soobsbaheniiat 1961. 3~9 Pe (MIRA 14.-8)
(Soil mechanics) . (Foundations)

~SL.~S(Dnepropetrovsk)
Calculating the heaving of the earth's surface caused by underground
workings. Oan.1 fund. i makh. grun. 3 no-l'.20-22 161. (MIRA 14.*3)
(Soil mechanics)' (Underground acnstruction)

IAPIDUS, Le S,; SHADUNTS, K. Sh.
Using piles for protecting the slopes of loose rock fills.
Vop geotekh no. 5:48-55 162. (MIM 17:5)

GOLIDSHTEYN, M. N.; TUROVSKAYA, A. Ya.;.MPIDUS, L. S.
Investigation of mudflows. Vop geotekh no. 5:3-23 162.
(MM 17:5)

GOLIDSHTEYN, M.N., prof.; ZHERFBTSOV, I.V.; TOL'SKAYA, S.Ye.; FRISHMAN, M.A.;
LEVANKOV, I.S.; ROZENBERG, A.M.; BELASHOV, D.A.; TSERKOVNITSKAYA, A.I.;
~ ~IDUS,.L.S.; YAKOVLEV, B.V.; GUBENKO, Ye.N.; VICHEREVIN, A.Ye., red.
[Preventing the deformation of tracks and structures overlaying
mine workings.] Preduprezhdenie deformatsii puti I sooruzhen4-i nad
shakhtnymi podrabotkami. Moskva. Transport, 1964. 65p. (Voprosy
geotekhniki, no.8) (MIRA 18:2)

UPD)US, L.B., Jnzh.
Calzulating the sh~iftina of the earth's surface cai:sea
underground workings. Vop. geotekh. no.4:11-27 16-1. .(1-0-4 18:7)

T. 13298.5-66 FWTO SQTR DD
ACC NRz AR5024090 SOURCE CODE: UR/0299/65/000/016/GO04/GO04
AUTHOR: Lapidus,, L. Ya,,; Dorokhov,, L, M,
TITLE: Effect of nitrogen and phosphorus onthe_R~
potential in plants with a varied water supply
SOURCEs Ref. zh. Biologiya, Abs, 16G20
REF SOURCE: Tr. 1-y Resp. nauchn, konferentsii fiziologov i bio-
khimilcov rast. Moldavii. Kishinev, IM-FT-ya Moldovenyaskep 1904, 196-203
TOPIC TAGS; agriculture 56enM, Or%XOVO~6~
ABSTRACT: A study was made of the development of the assimila
surface (A), the chlorophyllcontent (Ch), the daily rate of photo-
synthesis (Ph) and breathing (B) and the water content in the leaves
of summer barley grown in sandy cultures on Helriegel mixtures with
varied additions of N and P in doses from 0.1 to 3 under normal or
insufficient water supply. An-increase in N and P dosages decreased
the negative effect of a water-supply shortage on the development of
A. At the same time, N induced a decrease., and P an,'. increase in Ch
content, especially in the dehydration of the leaves, With a con-
siderable dehydration of the leaves, P eliminated the Ph and D

L 32585-66
ACC NRs AR5024090
depression, thus indicating its protective role during a drought
period. Kishinev Agricultural Institute# 3, Tabentskiy
SUB CODE: 06/ SUBM DATEt: none.

LAPIDU3
1j,j
XOTOVA. H.; L&PIDUS, M.. starshiy inspektor kontory.
Reduce the number of organizations for geological exploration.
Fin.SSSR IS no.2:59-61 F '57. (KLRA 10:5)
I.Nachallnik otdela Leningradekoy kontory Frombanka (for Kotova)
(Prospecting) .

DMIDUKO, To.; LAPIDUS, M.
Effoot Of thernoelaotic tonsions on the strength of the punch in cold
Otanping. Veatislatv akmo.9-1434+9 161.
1. Akademiya nauk Ietviyokoy SSR, Inotitut avtomatiki i mokbaniki.

IAPIDIJS, M.
Temperature field and thermal- stresses at the cutting edge
of a shearing die. Vestis Latv ak no.6:39-46 162.
1. Institut avtomatiki i mekhaniki AN Latviyskoy SSR.

LAPIDUS, M.
Norms-L stresses on the cross--,ut end of a shearing die. Vestis
Latv ak SSR no.8.-61-65 162.
1. Institut avtomatiki I mekhaniki AN Latviyskoy SSR.