SCIENTIFIC ABSTRACT SOLOVYEV, V.G. - SOLOVYEV, V.I.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001652320012-9
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: August 25, 2000
• Sequence Number: 12
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

A Superflui4 Model of the Nucleus S/02Y60/133/02/20/068
B019 Bo6o
ASSOCIATION: Obl'yedinennyy institut yadernykh issledovaniy (Jaint
Institute of jMcl2ar RaA"=bj-
PRESENTED: April 21, 1960, by N. N. Bogolyubov, Academician
SUBMITTED: April 21, 1960
Card 3/3

SOLOV,YEVVV.GQ
(Superconductive pair correlations in atcoic nuclei; dissertation
preaented in caMidacy for the degree of Doctor of PIqsios aW
mathematics) Pame korreliataii overkbprovodiashchagp tip& v atom-
nykh iadrakh; dioaartataiia, predstavlennais. na soiskanis Uchenoi ste-
peni dok~ora Miko-mateisticheskikh nauk. Dubna, O'b"Odinennyi in-
stitut iaderrWkh iseledovaniij, 1961. 84 P. (MIRA 1401)
(Atomic nuclei) (Superconductivity)

SOLOVIYEVS V.G.
Studying the properties of heavily deformed nuclei on the
basis of a puclear model which takes pair correlations into
account. Av.AII 566h.Ser.fiz. 25 no.10:1198-1216 0 161.
1 (MIRA 14310)
1. Laboratoriya teoreticheskoy fiziki Ob"yedinennogo instituta,
yadernykh issledovaniy.
(Rucleur models)

AUTHOR:
TITLE:
PERIODICAL
S110561611040100210411047
Bi o2/3-201
Solov,yev, V. G.
Study of the properties of transuranic elements on the
basis of the superfluid model of -the nucleus
Zhurnal eksperimentallnoy i teoreticheskoy fiziki,
v. 40, no. 2, 1961, 654-665
TEXT: The superfluid model has been developed in an earlier work by
Solov1yev (Ref. 2: DO SSSR, jjj, 325, 1960) on the basis ef the theory
of superfluidity and superconductivity by N. NT. Bogolyubov. MAIhe present
paper proceeds from thi; model to study the properties of strongly
deformed trannura.,_:c elements. A Nils-son potential, wh6ne energy levels
are slightly corrected to fit experimental data, is used as self-
consistent field. The single-particle levels of both odd and even-odd
nuclei are calculated in adiabatic approximation along with the pairing
energy and the corrections to 0- and y transition probabilitien. Part I
dealo with the assum:_,tions of the model and t~,e fundamental equations;
Proceedinig from "he "amiltonian
L-c 4~id_i /V

Study of the properties of ...
Sloc6161104-10021%CIA11047
B102/B201
(s) - %) a,+.a,. - a,++at,a,, _a,.+.
E (s) f I - E (s) (5) (5)
+ (E (S) -
----is-bbtained for the energy in the ground state, and--.
T (u. + va,*.a,' (6)
a,,T* - 0m
I+ E (S)
12 (s) I'M
(V + (E (S) - I (c, + (,E (S) - hm".
for the wave function in the ground state; the wave functions of the
excited states are fovnd by
Card 21A7

S/056/61/040/002/041/047
Z-;t%zdy Of the properties of ... B 1 C" 2 /'-'A 2 n, I
(st. s2) - fj (u. 4- ,,a,*+a,'j s, + st.
(si. s,)= r1 (u. + va' 0,*j WY
energies and basic equat ion s rea d
(si S2) E (sl) E (sj + G
2
+ (S)
C, F(S) Z
E(
n=2+
MY
case of an odd envelope, if the odd nucleon in in the state z
energy
4
and basic equations are given by
Card _3/47

3/056/61/040/002/041/XIj N
Study of the proportles of ... 31021B201
V"' (S) E (S) - X CI
104- (E (j)
an d
IC' + w(s) - wl-%. n + E S)-X (12) (12).
1 C, + Ur 0)
Pairing energy and single-particle levels of odd nuclei are calculated
in chapter 2. The effect of superfluidity upon the behavior of single-
particle levels of odd nuclei has the following results: 1) super-
fluidity leads to no variation of the nuclear ground state given by the
Nilsson scheme; 2) with lessening interaction constant Gf the
excitation enorgy also decreases; 3) on an increase of Ot the hole- and
particle levels behave differently, but the succession of hole (particle)
lev;ls still remains 14nchanged relative" to one aniother. To conform with
experimental results, the Ifilsson level schemes must be.subjected to
Card 4/17

Studv of t1he properties 0--",, slo;,6161~-.4,-/0021C41104-,
... 3102/3201
='nor c*-ances. i t
7Ec:lj. (5) a~d (11) one t'nen obtains for the pairing
21 for 0.016, 0.020,
and 0.024 N=e.-ical_ results (for noat.-OnON
0 j a~,o civen in -able 1,
from which one may see how ztronCly ,:he vpaAIr_;rt3 enercy is denendent of G.
C , t~i- I
2 ftte!i, '.,I rt 91milArtr proton nnnraien.
t!,, of C', '~n on G 11.215,
5.620 ).
be -,,-,)on. C an,,! a conni' croj~
0/ b:o chan(;C
Cot, on, "'C from an even tc an oAr, nucloun and on the transi-
14o
r f--O:n t1ne cro-,xnd state to t-,- excited state. 'Ta b I e 4. siveo data
concerrinG the exci-ted states of odd nUC_*,:,_4. C*naP'er 3 dealt -;7ith the
cxcitatio,- zpcctr~~ o' evcn-even n,.zclcj c~-'culatcd the
equations Given in '.',e introduction; :-t-oultz .-re lin'ed in Ta"~Ies 5-9-
`-a 4 Cs the resul'.3 of can' cu7 -n of correction3 to the
7
-c corrcction to the p decay of an
odd nucleus, in a ne.,tron pa~snez~ fro= ',~,C state SInto a n=oto-
in 'he o~_-4- c
2' -s
Card 5/,~7

61/040/002/0,4
S/05S , 1047j'
Study of the properties of 3102 201
2n., I Z 2nz) (N 2n,: Z %-. 2nz + 1).
R fl (14,1%,11% 'r VA 0
x
the correction to the p-decay probability of an even-odd nucleust i.e.t
the decay (11 2n +1, Z - 2r 2n,.p Z 2n.) is given by
z
RA x
V, S
x (U:Az
I ~-.V,,
u
L Card 6/_,17

5 6 / 6 1 /"0 4 0/ 00 24 1 / 047
Study of the vro-Lerties of 2 1 32/n
N01
Numerical data are given by Tables 10 and 11. 3-ogolyubov is final-
ly t*.-anked for his interest and discussions, Oilin for hAls program-
ing and carryinC out of numerical computations, as wel'! as '.4. 1. Pyatovp
V. 1. Purman, and Lyu Yuyan' for their assintance in interpreting the
results. There are 11 tables and 11 references; 9 Soviet-bloc and
2 non-Soviet-bloc.
ASSOCIAT.,10,:: Obl'yedinennyy institut yadernykh issledovaniy
Point Institutle of Nuclear --esearch)
3 TJ B:,, I TTD September 15, 19 60
c"Arms3"no PN. Alev 0
IV a
P."- A66. 0.0% A".
&9C17rVffwrffT,_-,

ISO 2A 0.43 0,94 1.58 4
fig _6 0. 23 0.88 1,57 0,8-1.2
V16 0 26 - 0.82 -
14A. 0:74 0,27 0,97 1.69

C a r d..7~7

LYU YIJYAN' f1du Yiian]; PYAMV. N.I.; SOLOV11XV, V.G.1 SILIN, I.N.1
FUMAJ1.9 V.I.
Properties of strongly deformed rAiclei. Zhur. eksp. i'toor.
fiz, 40 no,511503-1510 MY t61, (MIRA 14z7)
1. Ob"yodinannyy inatitqt yeadem7m Isaledovanly,
(Nuclei, Atomic)

23851
S1020
/61/137/006/010/020
31 C140201
I/ S-0 0 ~//V -, /,I 9s; IS-34p)
AUTHOR: Solovlyev, V. G.
TITLE: Beta decay of strong;y deformed nucl'ei
PERIODICAL: Doklady Akademii nauk SSSR, v. 137, no. 6, 1961, 1350-1353
TEXT: The author has earli'er developed a superfluid model of atomic nuclei
(ZhETF, 40, 654 (1961), ZhETF, AO, no- 5 (1961)) on the basis of mathemati-
cal =eth-ods devised by N. N. Bogolyubpv. This model permits taking acc'ount
A
of the, changes of the superfluid -properties of a nucleus in its transition
the ground state to an excited.state. As has been already shown
A
previously, the superfluid correction to the probability of beta and gamma
ansitions in strongly deformed nuclei is very important In many cases.
Gen~,ral rules are formulated bere fcr constructing the correction to the beta
decay; "hose rules are related to the sukerfluid Cro-.nd and excited states.
co=parison is made with *ixe*selection rules by Gallagher for the classifi-
cation of the probabilities of a beta decay of strongly deformed nuclei, and
the role of 11supez1fluid correction" is etudied by a comparison of the
Card 1/6

S10~016111371CC6101C7020
Beta decay of strongly ... B104/B201
quantities log(ft) for beta transitions between equal single-particle statei
of different nuclei. Wave functions, ecuations, and denotations from the
author's previous studies arV used for the general rule serving for the
construction of the correction R; they are not dealt with in detail here.
Neutron system and proton system in the nucleus are considered to be
independent. R is written in the form
R=T WO
where u v belong to the initial state, u I , v1-to the end state. This
product lacks a factor corresponding to the levels, on which quasiparticles
appear. The pair correlations in this-product are equal to unity.
"'ur*hermoret I a U2 if the coupled pairs in the initial state are the same
1 -1 f
as in the end state; if, however, the number of coupled paira chanGes In the
11 -
decay, then I . V1, where f belongs to that level at which the quasipartui-
r 2 2
cleo are annihilated or.produced. The function3 u, and vr in (3)
Card 2/6

Beta decay of strongly ...
23851
S/02OJ61/137/006/010/020
B104/B201
characterize the superfluid-kroperties of the system with a lesser number O'f
quasiparticlea. The case is then examined In which the pair-interaction
constant G tends toward zero, i.e., the model turns into a model of
independent particles. Thenj R .. 1 or R - 0. R - 1 corresponds to the case
where the beta decay takes place without a change in the position of a
nucleon, with the exception of one. R - 0 corresponds to a model in which
the Dosition of more than one nucleon changes in a beta decay. In a compari-
son with Gallagher's selection riles, all beta transitions are classified
into three groups:
rpyn n a R(0= 0) = 1, O