SCIENTIFIC ABSTRACT GEYLIKMAN, B. - GEYMAN, I.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000515010009-0
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 17, 2002
• Sequence Number: 9
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

GFUIDUNt B.T.; GUROT. X.F., rddaktor; TUXARKINA, N.A., takhnichesidy
.1 "ieaaktor.
[StatistluLl theory of phase transformations] Statisticheakaia
toorlia fasovykh prevrashchanil. Moskva, Goo. Isd-vo takhniko-
teoret. lit-ry, 1954. 119 p. (MM 7:12)
(Thermodynanics) (Statistical mechanics)

;A: !i:;P:

J~l Ill!
qj!' I ji~~
t I ;I

,-wLUw,-B.T.
[Sam problem of =clear fission theory] Hakotor-ye ropropy
teorli deleniia iadrss Nouku, im, n P. (KIU 140)
(Nuclear fission)

IY
USSR/lbeoretical 1bysics B-6
Abs Jour : Referat Zhur Fizika, No 5, 1957, No 10931
Author : Geylikman, B.T.
Inst : Moscow Pedagogical Institute.
Title : Theory of Strong Coupling for Meson Fields. 1.
Orig Pub : Zh. eksperim. i teor. fiziki, 1955, 29, No 4, 417-429
Abstract : A study is made of the state of a spinless charged meson
field, interacting with an extended infinitely heavy nu-
cleus. The solution of the Schroedinger equation for the
systam is obtained by expanding in a series in powers of
the reciprocal of the interaction constant g2j'hc ;-> 1.
The scheme for the solution is illustrated by an analogy
with the adiabatic theory for molecules. By way of two
possible methods, the following is proposed- in -the zero
approxLnation one neglects the kinetic energy if the me-
son
Card 1/5

USSR/Theoretical Pbysics B-6
Abs Jour Referat Zhlar - Fizika, No 5, 1957, No -LO931
field, sin!!e it is proportional to (g'/,tfc)o and consequent-
ly is BMEL11 compared with the potential of the field and
the enerty of Interaction, which is proportional to 62/lbc-
With this, the meson field J,,, Is split up ijito the
classical and operator portions: 0
E ).r- V, 11.14 C' P fo\ - 4 ~al x -t f -t
The unpertxwbed Hamiltonian HO is an operator only relative
to the variable s of the isotopic and ordinary s-pins of
the nucleus. The- solution H 0 = 90 41 0 g - ves a system
of nucleon eigenfunctions 4V,,~ and e?'gen~v`alues E~ of the
operator HO, which depend on .the field as a Darameter.
It is shown thatoS for each state 4 should be deter-
mined from the C Ition of the minimum E~/s4a
which leads to an equation for 0 .
14 A
Card 2/~

USSR/Theoretical Physics B-6
Abs Jour Referat 2hur - Fizika, NO 5, 1957, No 10931
t'A
where
C
For each value of the field so obtained, one finds
then from the equation H. 1"\, -- E~ ~~, -~'\ . 0a
system of functions and the energy spectrum of thjnu~-leon
The lowest term in each Oroup Is
EO In the case of a symmetrical field, the levels
EO~-~-' for various \ turn out to be the same. Thus, for
a pseudo-sealar charged field one obtains four systems of
levels BO.,,,., and functions 7 0 - The total i .-function
of the system is sought nea~'N'e state 4.)'0 in-the form
of an expansion
Card 3/5

USM/Theoretical Physics B-6
Abs Jour Referat Zhur - FLzika, No 5, 1957, No 10931
in terms of the spin nucleon functions for values of the
(the level EO . for each j- -iven HO
field coordinates 0 1
is ansumed, to be non Segencrate). For the determination
of one considers a series expansion in
~' 0 - ,,
powers of Ci-e., (U2/hc)-j 7.
The perturbation theory developed in this manner *.-urns out
to be close in form to that used In the theory of moiecules.
The second approximation formulas are &iven. Thus, it is
shown that in zero approximation ( - 0) one obtains the
self-energy of the nucleon (and the energy of interac-,ion
of the nu~~leons for a system of nucleons), In the first
approximation ( LO) one obtains the quantized meson
field, i.e., the true mesons that interact with the nu-
cleon, and in the second approximation (... r2) one obtains
Card 4/5

LMS-SH/Theoretical Physics B-6
Abs Jour Referat Zhxir - FLzika, N-) 5) 1957, No 10931
the anhariwinLe nature of the field of the true meson
(and corrections to the self-energy of the nucleon).
The assumpLions made previously ( )
4.~_ -X 2a2 (where a is the radius of the nucleon).
In the presence of mesons in states with quEaltum numbers
kS , it Is necessary to satisfy the additional conditIons
for the scalar and pseudo-scalar fields respectively.
The theory is generalized to include the case of a system
of nu-ieons.
Card 5/5

USSR/Theoretical Pbysics B -
Abs Jour Referat Zhur Fi.zika, No 5, 195'~, No iO~,--)2
J
Author Geylflunan, B.G.
Inst ).
Title On the Iheory of' Stroni.; Cour,Linj, foi Me,-,)n 11
Orig Pub Zh. eksperin. i teor. flziki., 1955, 29, No L, 1130-L33
Abstract The theory :)f stronLg coupling deveioped "n the pre.~edine
work (Abstract 10)31) is used to consider the neutrai
psexido-sca-Lur, char ge3 -scalar, and charCed pseudo-scaLar
fields, which interact with one nucleon. In all cases
the author finds the enerCy spectrum and the ftuicti,on of
the zero approxinistion. For the nucleon interactinE with
a s3maetrical pseudc-scalar field, the foilowin,, magietLc
momen-r, is f:)und
M k L,2 a/h c ) e / x 2 a - er- 2n
Z _j
where 1, and a is the "radius" of the nuoleon,
Card 1/3

USSR/Theoreticall PhysiaB B-6
Abs Jour Ref Zhur - Fizika, No 5, 195Y, no 10932
wbereas for the proton and neutron, as can be seen, the
mapetic moments differ only In sip. Also derivc-d are
the )6 -functions of the zero approximation and the in-
teraction enerff between two nucleons in the case of a
neutral pL;eudo-;calar and symmetrical scalar field.
For the same fields, the author investiptes the first
approximation in the case of one nucleon. The author
also determines the wave functions of the mesons and the
scatterir-g cross section for the scatterinE, of motsons by
nucleons (without allowance for dampine;)
d (X2 + k2) -'d j~-' a -, 0,
d 0 c 6, 1
.os2 (x2 t k2)/3,--x3 /'
PS L17 0 k, ~ 9 - d
where Z is the enerEy of the meson, k is the wave vec.
tor ~. lo ,,, (3/20) a, d -C1- 7- 2 -0, d,
Card 2/3

USS~/Theo'retical Physics B-6
Abs Jour Rererat Zhur - Fizj.ka, No 5, 1957, No 10932
When U. approaches 0, the cross section d O~S\ tends to a
finite limLt, and d LT- Ps --> 0. In connection with the
fact that the resulto obtained are substantially diffe-
rent from the results found in the well-known works by
Pauli, Dancoff, Kusak, and Serber, the author eyamines
the causes for this difference and notes many errors
found in the above works.
Card 3/3

-'JiMXcleaY ~hysie`s'' Me9on Fields FD-3332
Card 1/1 Pub. 146 - 4/28
Author Geylikman, B. T.
Title i~eory of strong bond for meson fields.III
Periodical Zhur. Teor. i Kksp. Fiz., 29, No 5, 571-584, 1955
Abstract A pseudoscalar meson field interfering with movinc, aucleoas is
analyzed in approximation of strong bond. A the-ty taking into
account the polarization of the nucleonic vacuum is developed.
Ten references, 5 foreign.
Institution Moscow State Pedagogical Institute
Submitted June 12, 1954

GE"HaMO, ~). T.
. L . " t th .--f
I r.
'Sijrv(-,y o" the T Cory of Fi.ssion It a re-..ort at t e Co erence on the
Physics of :*.ucleir Fission, 19-21 Jaruar,,,,. Atorn. ---nerf-., !9:56

GOLIDM~N. losif Tilich: KRUCHNIZOV, Vlndic,..Ir
redFi~tor: ZlViBOTTf6,*KlY, Ye.Te., r,?e' IAVRILOY,
'Otmich-skly relaktor
cf problemq In quantum mechanicel SI)frnik zalach po
k-vanlr,,,;cl '~'od rod. Gaq.tzd-v-j
1-it-ry, 10~7. 275 p. 10:1~)

GRYLIKKAN, B.T.
Theorl of nuclear finsion; review. Atori.energ.supplement no.1:5-26
'57. (MIRA 10:10)
Ohiclepir f ission)

ADTHOR ORYLIKWI B. T.
TITIS -Ui-g is-o-Tn-ti-radtion of glootrons and the Anomalous
Diamagnetism.
(Magnitnoye Yzaimodaystviye elektronov i anomallayy
diamagnetism.- Russian)
Pnioxm Zhurnal Eksperim. i Teoret. Fiziki 1957, Vol 32,.Nr 5,
Pp 1206-1211 (VO31)
ABSTRACT Us paper under review investigates the diamagnetic
properties of electrons in a metal under consideration
of the magnetic interaction of electrons. The vector
Potential I 'being Caused arbitrarily, the energy of t4s
system in the magnetic field must be of the following
form:
2)"*
Air) _q)] 9(q Ate
8-,(.# Ar (r)'lip.
q
Because the Aeld strength changes only slightly, it
is possible o expand 9 in a eeriest
CARD 1/3 T(q ) - go * fjq2. .....

Magnetic Interaction of Slectrons and the Inomalous
Diamagnetism.,
An anomalous diamagnetism is possible only then if
the term TO is different from zero. In such a case, we
obtain for the field strength the London's equation.
In order to obtain ~ London's equation at div I ~ 0, a
pole of the type q-' is required in the expression for
I or Ir
But acoordi to U. Schafroth (Helv. Phya. Lot&, Vol 24,
p. 645 (19511) the Coulomb's interaction leads in the
perturbation theory not to the anomalous diamagnetism.
It is shown in this context that also the magnetic in-
teraction of the electrons in the framework of the
perturbation theory does not lead to an anomalous
diamagnetism. The relativistic Hamiltonian is the best
choice for the quantized electromagnetiv field. In
this context, the interaction of electrons (neither the
Coulomb's interaction nor the magnetic interaction) is
not introduced in its explicit form but rather is the
result of the exchange of virtual photons (longitudinal
and transverse). Then one obtains the first non-
vanishing and with respeet to A quadratic correction of
the energy in fourth perturbation theoretical approxima-
CM 2/3 tion: in second approximation with respect to the

56-5-3V515
Vaer,ratlc Interaction of glectrone and tho Anomalous
DiamagnetJ am.
outer potential and In second approximation with
respect to the potential. of the.radiation field.
Eight graphs correspond to this, correction. The matrix
elements for two graphs are written down in the paper
under review. Then the paper proceeds to follow step
by stop the further oourse of the oomputatione. The
magnetic interaction yiolds no anomalous diamagnetism.
The terms of higher ordor with respect to q2 yield a
correction of the usual diamagnetism. It is not
nooQssa.ry to take intoiaocount the higher perturbation
theoretical approximations for the magnetic inter-
action. It appears that application of the perturbation
theory to the magnefi- interaction is justified.
(1 reproductio?l'
ASSOCIATION: Moscow State Peuia6ogic Institute.
PRESENTED Jr: -
SUBMITTED: 13-7.1956.
AVAILLBLE Library of Congress.
CARD 3/3

iftiOR: WLIDAN,B.T~v GINZBURG,V.L. PA - 2053
TITLE: In Memory of B.Z.BELENIXIJ.
PERIODICAL: Uspekhi Fizioheekikj Nauk, 1957, Vol 61, Nr 1, pp 129-132(U.S.S.A.)
Received; 3 / 1957 Reviewed: 3 / 1957
ABSTRACT; On Ssptomber 21st 1956 Sun ZACHARCIVIC BELENIXIJ, a well-known
theoretical physicist whose reputation is mainly based on his works
on cosmic rays, died at the age of 411. B.Z.BELENIKIJ was born ip
Moscow on the 14-June, 1916; after his leaving examination (1931)
he worked two years in an electric -plant. From 1933 to 1938 he
studied with great success at the physical faculty of Moscow uni-
versity and worked from 1941 to 1943 at the Central Aero-Hydrody-
namlo Institute. He then undertook a dissertation at the Physical
Institute of the Academy of Science of the USSR and became the
head of one of the theoretical sectors of this institute in 1948-
BELENIKIJ wrote his first scientific work (on the scattering of
X-rays) during his last university term. These works showed the
author's aptitude for theoretical j,hysioal work. In 1938, as an
aspirant at Moscow university, he vas able to concentrate his whole
attention on the problem I.H.TAW had asked him to solve (theory
of cascade showers in cosmic rays),, BELENIKIJ was able to deter-
mine the spectrum of cascade electrons and this work served as a
basis for his candidates' dissertation written in 1941. (Reviewer's
comment: In the USSR there are canlidateal- and doctors, disserta-
Card 1/2

In Memory of S.Z.BELENIKIJ. PA - 2053
tiona). In oonnection with the problems solved by experiments
BELEHOKU undertook quite a series of further investigations,
in which the development of the theory of cascade showers was
practically completed. In 1948 his monography "Cascade processes
in cosmic rays" was published. BELIVIKIPs works on the cascade
theory are of fundamental importanoo. Though it is true that the
investigations of the cascade showers form the main part of
BELENIKIPs entire activity, they ware not his only domain of re-
searchl he also dealt with hydrodynimic problems as well as with
the hydrodynamic and statistical thoory of the multiple produc-
tion of particles at high and superhigh energies. Recently
BELENIKIJ dealt with the nuclear cancade processes and with the
phenomenological theory of the scattering of nucleons by nucleons
at high energies. For his merits in solving applied problems he
was awarded the Lenin order and the Stalin prize.
ASSOCIATION: Not given.
PRESIMTED BY:
SUBMITTED:
AVAILABLE: Library of Congress.
Card 2/2

GEYLIMON., B. T. (moscom P UM)
'S= I'asymetrie axiale des nqaux."
report Presented at the Ihtl. Congress vor Nuclear interactions (Low Inargy) and
Nuclear Structure, Paris, 7-12 jay 1958 (Intl. Union Pure and Applied Pbysics)

AUTFOR B'T. 34 4 60/ 60
tIT"ILS I (:of-AI'.-.' .. -, y (0 f IpI-0PrID'V-0An0b ti
Or -lit, T
114RIODICAL~ zh.~fm, QI;Att Vol,
4!
NI 4., pp, (USSR)
ABSTRACT-, bj~maum,~ of i,~A~ ~!xi-vtncl~ Of !~L gap in '.u- eilargy spectrm of
rLk &-- 7