SCIENTIFIC ABSTRACT KERIMOV, B.K. - KERIMOV, B.K.

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


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AUTHOR: 3OKOLOV,A.A.1_YERI!1OV,B.X. PA 2007
TITLE: On the Theo ry of the Scattering of Particles by a Steady
Center in Consideration of Damping.
PERIODICAL: Zhurnal Eksperimentallnoi i Tooret.Fiziki, 1957, Vol 31, Nr 6,
pp 1080-1081 (U.S.S.R.)
Received: 1 / 1957 Reviewed: 3 / 1957
ABSTRACT: The theory of damping provae to be the stage that follows accord-
ing to the perturbation theory and allows the calculation of the o 5oss section
6 not only within range of the long DE BROGLIE Wave lengths but also
within the range of smaller wave lengths (Cf~ The relation C+C+ ~ C I +C1.1
set up in connection with the development of the theory of damping k' indi-
cates that the total sum of the inciding and scattering particles staye constant
at any moment. Some preparatory works on this matter are cited,
At first the exact formula for the cross section of the elastic scattering of
particles with the momentum I k(k-2n/A ) is given: 0-(4n/k 2) 0 (21+1)Gin2
The perturbation theory allows the determination of the I;haFle ri lf~ in the
case of It o ling more
a. The expression resulting in this
case for the p0hase 11 is given. In the limiting case ka> 1. The expression for 6 applicable in the other limiting case
ka >> 1 (range of high energies) is also given, Accordingly, the cross section is
the fourfold of its classical value. According to G-MASSEY and m-110HR the noncon-
formity of the classical and quantumlike value is caused by the occurrence of a
diffraction. The results of both theories agree in the range ka>> 1. Furthermore,
the authors were able in recent times to compare the results of the damping theory
with those of other theories by means of the example of scattering at a 0-center.
The paper ends with a short diaoussion of the last-mentioned investigations.
ASSOCIATION: Moscow State University.
PRESENTED BY:
SUBMITTED:
AVAILABLE: Library of Congress.
CARD 2 / 2

Levi-Klein's Potential of the Pseudoscalar PA - 2694
?soon Theory and Nuclear Saturation. V(a) + V(b
the interaction of fourth order V 4 M 4 4 ) due to the ex-
change of two masons causes weak attraction.
The preyent paper completes the two-nucleon potential mentioned
above+by a repulsory "core" with the radius r at
V V + V(a) + V(b ) at r ;, r V oa at r Z, rc. By means of
12 ' 2 4 4 12 '
the usual computing method a term for the average potential energy
of the nucleus is obtained in the approximation of the homogeneous
density of the nuclear matter. The kinetic energy of the FER11I
gas of nucleons (which are regarded as Impermea Is spheres with the
r:diu:tr,) amounts to T - 140 A(-Yt-2 + 2,16 br[7~)MeV. Here rt is a
p ram er, which denotes the deviation of the nuclear radius R
from its equilibrium value R A1/3 Further it holds that b ij-r
For the total energy of the nucleus E -0 )+ T. The results of the
12
computations discussed here demonstrate the following: By
applying the two nucleon potential mentioned here it is unnecessary
in the poeudoaoalar theory to introduce a three-partiole re-
pulsion. The Levi-Klein potential defined here does not correspond
to the requirements of saturation neither with or without a three-
Card 2/3 particle repulsion. (I illustration)
----IAJ6j WA -Vilgrelloo
Card 3/3
A
56-3-57/59
AUTHORS: Sokolov, A.A., Kerimov, B.K.

TITLE: -----------
The Influence Exercised by Damping in the Polarization of
Dirac's Particles on the Occasion of Scattering (Vliyaniye
zatukhaniya na Polyarizataiyu dirakovakikh chantits pri rasse-
yanii) (Letter to the Editor)
PERIODICALs Zhurnal Ekeperim. I Teoret. Fiziki, 1957, Vol. 33, Nr 3 (9),
pp. 627 - 829 (USSR)
ABSTRACTs The elastic scattering of Dirac's particles and of the spin-
less particles by an immobilelcenter of force ware Investigated
by the authors in 4 previous papers by means of the theory of
damping. The polarization occurring on the occasion of the
elastic scattering of Dirac-particles is computed in the pre-
sent paper by means of the theory of damping. The principal
integral equation of the theory of dampi!W for the determination
of the scattering amplitudes f I W f (71) has the form
so si
+
l
'
, - bl
(fa
, b.f.) Vj,-, 2
+
'
3
K (kK/8 IT cti) d al'V
- b
V
,
~,jfl
t,
'k
L
I

b",, f Here E - ch X denotes the total energy of the par-

AMOR z VA,r*bAa*vLCh. 0.
?Z=: Tha VIII Lannal Cose"g. of ap-troseopy CvZII
yeshosatmayo smoshchonlyo P- Y-4-re-y opkiro.kapll). I
POLIMICAL: U.Vkhi flx1.h..kIkh mack. 1958. Tel 65. Ir 4.
PP. T21 - 722 (USSR)
AMUCT z Itw 8th C-Creso of Noel*- Spatrvoco;7 task pl-- In
Lommingrad from Jamx-7 27 to ftt~u 3. 1953. It -4
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G.r.caq. T.C.slall., and Me -a- I Democratic 4
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ftloma.*. V351. opened it'. conference. Zcl'oras am held
bTg T.Ta. coacher. Y.. T. Japtx. S.P.Tsysko (FTI.AS rkrSSR)
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and the probability of JS - " r- t'-aj%X.o,
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,
scattering at I-radlatioula.9 siv =d I.W.Wa4shafor
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009 State, UAlworattyron. Its b-asstrwh1urg of
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:1
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of polarized electrons and joalzrcoo at pol"tl*4
T-.A.Chedw. and I.Y..Tw. (Ile.) " the or

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1
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:erdlog to Sk. Perot 41.er", Z.N.Sand. L.1.Zyry-.., and
Tu.P.3-tow, LOU (L*-%ACra4 3%lt. Mal-r.ity) a. the
Putallon of %be probability of the "mlttwd and of the
tw6l"Ga amp" of Su4troms, bp a smajoes.

KERIMOV, B.K.; NADZHAYUV, I.M.
-iis-itrahlung of an electron with oriented spin. Nauch. dokl. vyso
skol7; fiz.-mat. nauki no,1:95-100 '58. (MIRA 12:3)
I.Moskovskly gosudarstvanW univernitst Im. M.V. Lomonosova.
(Bremostrahlung) (Xlectrons)

LAS,j GEWNY/Nuclear Physics - Elementary Particles C-3
Abs Jour Rof Zhur - Fizlka, No lip 1958, No '079
Author Sokolov A., Kerimow B.
Inst Moscow Stai-e_ffn_~iversity
Title On the Theory of Dirac Particles with Oriented Spin
Orig -%b Ann. Physik, 1958, 2p No 1-2, 46-53
Abstract The theory of Dirac particles with oriented span (&fomt Zhur
Flzika, 1959, No 1i 175) is applied to an investigation of
the a decay of nuclei and the jt-~ 4 + v decay. Certaia results
are obtained relative to the polarization of the electio-s in
0 decay of unpolarized nuclei and the polarization of maons in
the deaay A 4 V + v. -- G.V. Frolov
Card 1/1
KKRBJDV, B.
A QOKOLOV., A. AO, and-c;u,-,Eyro,,,p -1.
"Demping Theory Study of Elastic Scattering Of Dirac Particles with Account of
Polarization Effects)" Nuclear Physics, V01- 5, No. 2, Jan 1956 (North Holland Publ.
co., Amsterdam;
Physics Dept, MOSCOU State Univ, Moscow, USSR
Abst.- Elastic scattering of Dirac Particles by a short-range force centre
is considered from the standpoint of radiation da"ing theory. Th-- expression for
the scattering amplitude is determined. The intergral equation thus obtained for the
scattering amplitude permits one to investisate i0-larization effects,
71
77; n!
N.-

21(7)
AUTHOR3 SOV/155-58-5-26/37
TITLEs On the Question Concerning Angular Distribution and
Polarization of Electrons During the Dissociation of ari
Oriented Neutron
PERIODICAM Nauchnyye doklady vysshey shkoly. Fiziko-matematiohookiye
naukitl958,Nr 5,PP 151-157j~USSR)
ABSTRACTs The present paper continues the investigation Z-Ref 4 7 of
the author and of A. Sokolov. Starting from the theori of the
Dirac particles polarized in longitudinal direction the author
calculates the angular distribution and polarization of
electrons arising during the 3 - dissociation of a free
polarized neutron. F6r the determination of the matrix elements
of the dissociation with consideration of the polarization he
uses the method applied in Z-Ref 4,6-7.
The author thanks Professor A.A. Sokolov and A.I. Muratdinov
for discussion.
Card 1/2

26
On the Question Concerning Angular Distribution -SOV/155-58-5-26/37
and Polarization of Electrons During the Dissodiation of an Oriented
Neutron
There are 12 references, 5 of which are Soviet, 6 American,
and 1 German.
ASSOCIATIONs Moskovskiy gosudarstvennyy unive:~sitet imeni 14.V.Lomonosova
(Moscow State University imeni M.V. Lomonosov)
SIUBILITTEDs August 29, 1958
Card 2/2

AUT11'0HS:
TITLE:
PERIODICAL:
ABSTRACT:
Card 1/3
Kerimov, B. K., Nadzhafov, I. I'll. SOV/48-22-7-26/26
Bremsstrahlung From a Longitudinally Polarized Electron
(Tormoznoye izlucheniye prodollno-polyarizovatino.,o elektrona)
Izvestiya Akademii nauk SSSR, Seriya fizicheskaya, 1958,
Vol. 22, Nr 7, pp. 886 - 092 (USSR)
A for:!lula, which is deduced in this paper, det~,rmines the
dependence of the circUlLr polarization of brerisstrahlung photons
on the angle and the energy. The formr.la obtained in this paper
for the effective cross-sectinn of bremsstrahlung is a generali-
zation of the formula of Bethe-Heitler (Bete-Gaytler). It takes
into account the longitudinal polarization of the electron spin
and of the photon. In 1945 the theory of Dirac (Dirak)-particles
with an oriented spin was developed by Sokolov (Refs 12, 13).
This theory permits to find the de-pendenoe of the effective
cross-section of a number of processes on the directions of the
particle spins. AccordinG to this theory the quadratic forns of
the matrix elemento expressing the transition of the electron
from the state (k,a, F_ ) to the state ~kol~s;, e I )(Ref 12) are
computed with formula (2). In a Born B rn approximation the
effective crose-nection of the brems-strahlung of electrons, which

Bremsstrahlung From a Longitudinally Polarized Electron SOV/48-22-7-26/26
are polarized parallel or antiparallel to the direction of
motion can be determined by formula (3). Using (2), (3) and (4)
the effective croso-section of the breinsstrahlung through a
longitudinally polarized electron can be determined. In order
to investigate the circular polarization of the bremsstrahlung
the amplitude of the vector potential of the photon field is
split into two components: Pormulae (5) and (6). Takine into
account (2) and (5), formula (10) is obtained for the effective
cross-section of the bremsstrahlung of the longitudinally
polarized relativistic electron, after the final spin states
of the electrons has been summed up. Only electrons which are
polarized parallel or antiparallel to the direction of motion
are able to produce "brems" photons with a circular polarization.
The degree of circular polarization of the bremsstrahlung is
determined from formula (14), wheras the degree of the circular
polarization of the 1'bre7::v" photons is determined from formula
(20). The curves show, that the polarization P increases
considerably Ath an increase of energy of the "brems" photon.
The maximum polarization P increases with the increase of the
electron energy and T - 3,5 MeV (E-8m 0C2) reacheB,..,100%. The
Card 2/3 bremostrahlung of an oYeetron polarized antiparallel to the

Bremastrahlung From a Longitudinally Polarized Electron SOY/40-22-7-26/26
diraction of motion partly shows a left-handed circular pola-
rization. A.A.Sokolov discussed the paper with the authors.
There are 2 figures and 13 references, 4 of which are Soviet,
A350CIATION: Kafedra statinticheskoy fiziki i mokhaniki Moskovskogo gos.
universitets, im.M.V.Lomonosova (Chair of Statistical Physics
and Mechanics at the Moscow State University imeni M.Y.Lomononov)
Card 3/3

V
56-1-17/56
AUTHORS$ Sokolov, A. A& , Gueeynovo Kerimovt B. K,
N the Scattering of Dirac Particles by a Short Range Force
TITLE:
Centre According to the Damping Theory (K rasseyaniyu
dirakovskikh ohastits korotkodoystvuyushchim silovym, tsentrom
s uchetom zatukhaniya)
PERIODICALs Zhurnal Eksperimental'noy i Tooraticheakoy Fizziki, 1958,
Yol- M9 lir 1, pp. 110 - 112 (USSR)
ABSTRAZTt In the present work the elastic scattering of Dirac particles
by any short range force centre is investigated according to
the damping theory. The wave functions are subdivided here
according to the value of the projection of the spin onto the
z-axis (m a + 1/2) and not according to -the value Of projec-
tion of tfle s-pin onto ~he direction of motion. The inteeral
equation for this case is written down exnlicitly. A formula
is also given for the matrix elements of -the transitions on
whi-.h occasion the spin proportion of the matrix element is
given still more precisely. Moreover, the authors use various
Card 1/2 recurrence formulae. The expressions for the components of
On the Scattering of Dirac Particle, 56-1
by a Short Hang 17/56
ing to the Damping Theory 0 Force Centre Accord-
the matrix element obtained after some further transformation
written down.
It i's Possible to produce the orthOJonal charac-
t" Of the matrix element, necessary for sat-_
th~* drMping theory.
The thus found differential cross section of the elastic seat-
tering and an expression for the amplitude Of acatterine are
given. Concluding, the total cross section of the
scattering is written down
Slavic. There is 1 reference, elastic
which is
ASSOCIATION$ K6060w St&**
SUBMITTEDt (10,kovskiy 90sudarstvennyy Universitet)
July 10, 1957
AVAILABLE1 Library Of Congress
Cazd 2/2

KERIMOV, B.K.
Angular asymmetry and polarization of particles In the decey of
a polarized neutron. Izv. vys. ucheb. Zav,; fiz. no.4:111-118
159. (MIRA 13:3)
l.Mookovokiy gosunivernitat Iment M*V, Lomonosova*
(Neutrons-Decay)

24 (5)
AWHOR: Kerimov, B. X. SOV/48-23-7-30/31
----------
TITLEt On the Problem of the (5-Decay of the Neutrons with Oriented
Spin (K voprosu o 0-raspade neytrona s oriyentirovannym spinom)
FERIODICALt Izvestiya Akademii neuk SSSR. Seriya fizicheskays, 1959,
Vol 23P Nr 7, pp 924-928 (USSR)
ABSTRAM In the present paper$ the angular asymmetry and the degree of
longitudinal polarization of electrons occurring in the A-decay
of polarized free neutrons are calculated by the theory of the
Dirac particles with oriented spin. By equation (3), the
Rsmiiton interaction of this decay is described, and the equation
(5) is indicated for the probability of the decay of a neutron
in the unit of time. In agreement with a previous paper (Ref I
the matrix elements of the decay are calculated by equation
In the nonrelativistic approximation of the interaction, the
equation (8) is obtained for determining the direction of the
spine of the electrons and antinoutrinou. Finallyp the formula
(11) in obtained from equation (8) for the angular distribution
of the electrons in the decay of,5olarized free neutrons, and
from this again, the equation (I is obtained for the degree of
Card 1/2 longitudinal polarization of the electrons. Un the basis of

On the Problem of the ~-Decqy of the Neutrons With SOV/48-23-7-30/31
Oriented Spin
experimental results, the equation (15) describes the angular
distribution of the electrons. Finally, four variants of the
binding are investigated, and the coefficient of the angular
correlation between the momenta of the electrons and the spin
of the neutrons is calculated for these four variants. The
author thanks Professor A. A. Sokolov for the discussions carried
on with him, There are 9 references, 2 of which are Soviet.
ASSOCIATIONs Moskovskiy goo. universitat im. M. V. Lomonosova (Moscow
State University imeni M. V. Lomonosov)
Card 2/2

24 (5)
AUTHORS:
TITLEt
PERIODICAM
Sadykhovq F. S., Kerimov, B. K. SOV/48-23-7-31/31
The Formation of an Electron-positron Pair in the Collision of
Two Polarized re-quanta (Obrazovaniye pary elektron-pozitron pri
stolknovenii dvukh polyarizovannykh 1-kvantov)
Izvestiy& Akademii naak SSSR. Seriya fizicheskaya, 19599
Vol 23, Nr 7P pp 929-932 tUSSR)
ABSTRACT: In the present paper# the effective cross section in the formatkn
of an electron-positron pair by the collision of two polarized
quanta is to be calculated by the theory of Dirge particles.
Dirac equation in the form of formula (2) is Used an a basis.
Q
By the equations (3) the operators occurring in formula (2) of
the interaction of the electrons with 7,-quanta are indicated, and
by the equations (6) the two functions describing the initial and
final state in formula (2) are indicated and discussed in detail.
The probability of formation of an electron-positron pair is then
investigated, and formula (9) is indicated for the total effective
cross section of the formation of an electron-,positron pair.,This
formula shows that in the collision of two j--quanta with right-
hand or left-hand polarization, an electron and a positron with
Card 1/2 right-hand or left-hand polarization are formed. For the

The Formation of an Electron-positron Pair in the SOV/48-23-7-31/31
Collision of Two Polarized I-qtxanta
ASSOCIATION:
ultrarelativistio case, the equation (13),is indicated.for,the
effective cross section; this equation shows that in the oolli-
si'on of two r6quanta of higk energy, the electron and the positron
always show only right-hand or left-hand polarization. Finally,
fomula'(14) is ind.3ated for the cross aeotion of non-polarizad
"quanta. The authors thank A. A. Sokolov for his continuous
ielp in the work. There are 9 references, 3 of which are Soviet.
f
Moskovskiy goo. universitet ims M. V. Lomonosova (Moscow
State University imeni M, V. Lomonosov)
Card 2/2

24(5) SOV/56-36-4-63/70
AUTHORS: Sadykhov, F. S., Kerimov, B. K.
TITLE. On Pair Formation in a Collision Between Two Longitudinally
Polarized y-Quanta, (0b obrazovanii pary pri stolknovenii dvukh
prodollno polyarizovannykh y-kvantov)
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1959, Vol 36,
Nr 4, pp 1324-1326 (USSR)
ABSTRACT: The present "Letter to the Editor" describes the results obtained
by calculating eleotron-positron pair formation in collisions of
longitudinally polarized y-quanta in consideration of the longi-
tudinal pola-ization of the produced pair. Such an investigation
is of interest, because it is today already possible to obtain
y-beams of sufficiently high energy (EY . 0.5 - 1 Bev) by brems-
atrahlung of longitudinally polarized electrons of high energies
or by the P-decay of nuclei. The authors investigated the process
Y + Y1 - e- + e+ by means of the equation (1) by which it is
described D h - fU00D_'U0(1) + U(X1)D_1U(-K)j \~o; + 0 denotes the
Card 1/3 wave function of the initial-, ~2 that of the final state,

SOV/56-36-4-63/70
On Pair Formation in a Collision Between Two Longitudinally Polarized y-(juanta
D - Dirac operator, U(K) and U(,,(.-) are the operators of elec-
tron-y-interaotion; the y-quanta have the momenta t-,K and fl-y! . On
the basis of formula (3) derived by Sokolov and Ivanenko (Ref 5)
for the total e +e-pair production cross section, conditions are
discussed in detail in consideration of particle spin (which is
explicitly written down). 'a, =_ al(x) and aj,=raj,(-/,') are the
polarization vectors of the y-quanta. From formula (3) it follows
that: 1) At a collision of two right-longitudinal (1 - 11 - 1i
y-spin is in the direction of motion) and two right-longitudinal
(1 - 11 - -1; y-spin is opposed to the direction of motion)
polarized y-quanta both an electron and a positron with right
(a- - s+ = 1) as well as with left (s = s+ W -1) longitudinal
polarization can be produced with different probability. 2) At a
collision of right 1 - 1) and left (11 - -1) longitudinally
polarized y-quanta ~alao I - -1, 11 - 1) the formation is pos-
sible: a) of e + e+ with right (a- - 8+ . 1) as well as with
Card 2/3 left (a- - a+ -1) longitudinal polarizations with the same

SOV/56-36-4-63/70
On Fair Formation in a Collision Botweon Two Longitudinally Polarized y-quanta
probability and b) an electron with right (s W 1) and a
positron with left (a+ W -1) longitudinal polarization and vice
versa (a_ . -1, s+ = 1) with the same probability. Finally, (3)
is writteii down for the ultrarelativistic case and for the case
of unpolarized y-quanta. The authors finally thank Professor
A. A. Sokolov for his interest and valuable remarks. There are
6 references, 2 of which are Soviet.
ASSOCIATION: Moskovskiy gosudaratvennyy univeraitet (Moscow State University)
SUBMITTED: January 10, 1959
Card 3/3

21(8)
AUT110RS:- Uri=_Y-L_B. K. I Mukhtarovp A. 1. 9 SOV/56-37-2-47/56
Gadzhiyev, S. A.
TITLE: Polarization Effects in the Decay u4L~*e_ + e+ +
PERIODICAL: Zhurnal eksperimentallnoy i tooreticheskoy fiziki, 1959,
Vol 37, Nr 20), PP 575-576 (USSR)
ABSTRACT: Recently (Refs 1,2) oases of a charge exchange scattering of
negative pions on hydrogen (R- + P-i'n 0 + n) with a sub-
oequent decay of the neutral pion according to the Dalitts
scheme into an eleotron-positron pair and into a I-quantum
were recorded. In the present paper the results of a calcu-
lation of the decay of the neutral pion according to the
above scheme taking into account the spin states (of the
longitudinal polarizatiors) of the eleotron-positron pair
produced and of the I-quantum are presented. The Hamiltonian
of the direct interaction for the process mentioned abovetakm
+ 1 + -.*- + - 1
the f orm Eint * 6" e I+eF- 01 D_ (-e-l+)+e+ + 46- a D )Oi~ el.
In this equation ~ 09 ~+ 4 and V denote the wave funct-
R ir ~e
Card 1/3 ions of the x 0 meson, the electron, positron, and of the
;V,.

Polarization Effects In the Decay x 0 -4 e- + e + + 7 SOV/56-37-2-47/56
y-quantum. D represents the Dirac operator, 'a - ?I the Dirac
matrices, 0 1 - ~2 holding, if the no meson is pseudoscalar,
and 0 1 - q,3, if it in a scalar particle. In the sequel an
expression for the probability of the decay in question
no --~, e- + e+ + y is derived
2 2 k2dQ (dk_)
dW(s_,s +9199)- e g + + os
t~0(2n)3 koxk+K - (kol-K- )+konK -k-K+ a
I+8_8 +~2 +18- ~ 3+ls 341 . The rather lengthy expressions
occurring in this equation for 11429 ~39 and (1 4 are writ-
ten down explicitly. The formula for dW(S_PS + l,Q) gives the
angular dependence and the energy dependence of the degree of
longitudinal polarization and of the correlations between the
polarizations (the terms -)s_s + '1S_'18+ ) in the decay
It0-J~ e- + e+ + 1. This may be of use in the collection of
Card 2/3 data on the properties of the neutral pion. According to the

Polarization Effects in the Decay %o ---> e- + e~ + y BOV/56-37-2-47/56
ASSOCIATION:
SUBMITTED:
formulas derived herein the decay probability in no-.)G-+ e+ + Y
for the extreme relativistic decay electrons and positrons
(if k_, k+.~ k0 and ~ 1 429 ~ 3 ' ~4 is true) differ from
zero only if the electrons and the positrons of the pairs
exhibit either a left or right polarization. The authors
express ttb4ir gratitude to As A* Sokolov for the constant
interest shown in this work. There are 5 referenceal 2 of
which are Soviet.
Moskovskiy gosudarstvennyy universitet (Poscow State Uni-
versity)
May 16, 1959
Card 3/3

KIRIMOV, B.K.; KJMMROV, A.I.; GADZHIYEV, S.A.
Longitudinal polarizatiou of an electron-positron pair in the decay
of a neutral Ir-weson. Izv.vys.ucheb.zav.;fiz. no.2:26-30 160.
(MIRA 13:8)
1. Moskovskiy gosuniversitet im. H.V.Iomonosova i Azerbaydzhanskly
gosusiverslU~ Imo SeMeXtrovao
(mesons--Decay)

05b0b
B006YB070
Z4.657,o
AUTHORS: Kerimov, B. K., Arutyunyan, V. M.
...........
TITLE- Polarization of Electronalin Elastir Scattering Taking Into
ccount the Finite Dimensions cf the Nucleus
PERIODICAL: Zhurnal eksperimentallnoy i teoreti-hegkoy fizikl., 4960,
Vol. 38i No. 6.- pp. 1798-1802
TEXT: The object of the present work was to calculate the scattering phaEie
shifts and the polarization of elastically sc attered elentrcns when VY
allowance is made for the finite size of the scatter14 center. It is
known that when a partially polarized electron beam is s,~attexed by nuclei,
the angular distribution has an azimuthal asymmetry. As Mott has show-r.,
suoh an effect can appear on double scattering of an electron at a point
center. This effect has been observed experimentally many times but only
for low energies where the electron wavelength is large compared to the
dimensions of the nucleus which may then be considered as a point
scatterer. It may be expected that for large electron energies, the
S/05 601C)38100610281'0491XX
Card 1/4

85686
Polarization of Electrons in Elastic 3/056/60/038/000'/028/049/XX
Scattering Taking Into Account the Finite B006/BO70
Dimensions of the Nucleus
structural peculiarities of a nucleu,5 of finite si7e would affect the
azimuthal asymmetry considerably. An exprese-ion fcr tbri azimuthal
asymmetry on double scattering is derived in thia paper, and i~orrecticns
arG given to the usual Mott formula for the sezond and fc-urth nuclear
charge density moments. The azimuthal asymmetry.'Y2, on doublo 3cattering
through the angles G,' '0 is characterized by Or(O 0 2 i-) (0. ) A (0
2 2 2
&(Q) = i(fg* - fg-)I(ff*' f gg'), where f and g are the D4-ra-. 3-cattering
amplitudes. In first approximation A,(0) - 0; in second approximation
formula (10) is obtained. As is seen from this formula, the nuclear
dimensions affect the polarization properties of the electron beam for
large energies. For energies cf 50 100 Mev, (10) may be simplified to
T k1 M 00 ), the above
+
formula becom6s'very simple, and the foliowing relation is valid 'for

89264
Electron-positron correlation S/048/61./025/001/030/031
B029/Bo63
follow for the relative-probabilities of pair production in states with the
spin correlations a+9 a 1 and s+s_ a -10 If the energy of the incoming
gamma quantum is symmetrically distributed among electron and positron,
then E *. J'~_ L and dW - dV/ will hold. Using the substitution
+ 2
E -~- -Et E E 5 -*' 'at B_ '* 8 1 1 1 -* -1 j the integral cross
+ 1~y .+
section for circularly polarized bromestrahlung (1 - ;t1) of a longitudinal-
ly polarized (a --+I), ultrarelativistic electron is given by
dWz~ 84AL.-
6111= Ida). 21 ~'~22
7
(di),+,,j + 3&4,+ W + 29,R- 3W,+ 38! + 284,T-
if the longit-adinal polarization of the latter in the final state (alw+l)
is taken into account. Here, E - op and El - cpl dehote the kinetic energy
of the electron before and after emission of bremsetrablung, and E Y is the
Card 4/5

89264
Blactron-positron o~.rrelatibn seat 8/046/61/025/011/030/031
B029/BO63
longitudinally polar.ized G'+ -o- pairs: -
-dS 29 8 1
In *"'--y 1 2
+ +
+
+ iY
(L 161.
2 2 .e2 e2
with 7, r at r a .!F The iniegral production cross
0 o -2 a 737
moc
section of longitudinally polarized pairs, which is averred over the two
polRrizations ot the gaoma'quantumt reads as follows:
... dR, 2B It 2
CMOO 2
MY
L (3,1
wherefrom the relations. B'd
In;- X
(W+ if's (W + IP)L (3LC'+ 1.")
Card'3/5
1! ij
------------ -
X.

89264
Electron-positron correlation ass 8/04e/6i/025/001/030/031
B029/BO63
energy of the emitted gamma quantum. A, A, Sokolov is thanked for interest
and a discussion, This is the reproduction of a lecture read at the Tenth
All-Union Conference on Nuclear Spectroscopy, Moscowt January 19-27, 1960,
There are 7 referencess 3 Soviet-bloc and 4 non-Soviet-bloc.
ASSOCIATION: Fiz1oheskiy fakulltet Mookovskogo goss universitets, im.
Us V, Lomonosova,
(Division of P sicei Moscow State-University imeni
Me V# LomonoBovI.
Card 5/5

S/048161/025/001/031/031
to B029/Bo63
AUTHORS: Sadykhov, F, S.
TITLE: Electron-positron polarization correlation in pair production
with regard to the finite nuclear dimensions
PERIODICAL: Izvestiya Akademli nauk 835R. Serlya fizicheskaya,
v. 25, no. 1, 1961, 166-168
TEXT: The dependence of the cross section for longitudinally polarized
aleotron-POBitron pairs on the angle of emission of the positron has been
studied in consideration of the finite nuclear dimensions. The cross-seatkn
formula derived here may be used to study the effect of finite nuclear di-
mensionB on the angular correlation and the longitudinal electron-positron
spin correlation in pair production. The form factor F(q) of the density
distribution of thel,nuolear charge 9(r) at moderate energies is given as
P(q) - go 9(r) sin(qr) 4xr2dr PO I q2 Ot (0) ID4 (0)) dil. (9)
can be obtained. With
dar (0) (D. (0) is IDS (0) < IN (0) + Is (1)3 (0)
+
dal, (0, ) - ((dot-)I-L ((da,,)I-j I (dal.)I-1). (12)
Card 10/14

Bremsstrahlung of a longitudinal-
S/056 ~61/040/002/026/047
3102/0201
P (0,