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Submitted on 1 Jan 1971
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CALCULATIONS OF GROUND AND EXCITED STATES OF DEFORMED NUCLEI
Yu. Grin, A. Kochetov
To cite this version:
Yu. Grin, A. Kochetov. CALCULATIONS OF GROUND AND EXCITED STATES OF DEFORMED NUCLEI. Journal de Physique Colloques, 1971, 32 (C6), pp.C6-203-C6-204.
�10.1051/jphyscol:1971642�. �jpa-00214860�
JOURNAL DE PHYSIQUE
Colloque C6, supplkment au no 11-12, Tome 32, Novembre-Dkcembre 1971, page C6-203
CALCULATIONS OF GROUND
AND EXCITED STATES OF DEFORMED NUCLEI
Yu. T. GRIN and A. B. KOCHETOV
Kurchatov Institute of Atomic Energy, Moscou, USSR
Rburnk. -
Les energies de liaison, les rayons, les moments quadrupolaires, les parametres de deformation et les moments d'inertie de noyaux lkgers sont calculks dans l'approximation du Kminimal de la methode de l'harmonique K.
Abstract. -- Binding energies, radii, quadrupole moments, deformation parameters and moments of inertia of light nuclei are calculated in the approximation of the minimal
Kof the
K-harmonic method.
The method reported in [I] was used in articles [2], [3] for investigating light even-even N
=Z nuclei. The internal wave function was constructed so that each coordinate state is populated fourfold, with both total spin and isospin being equal t o zero. Calculations are carried out for all possible populations with K
=K,,.
It was found that the ground states have the following configurations
:Be8-[(000),(001),], C12-[(000)4(100)4 (OlO),],
016-[(000)4(100)4(010)4(001)4],NeZ0-[(0l6) (OO2),], MgZ4-[(01
6,(002)4(101)4], SiZ8-[(01
6,(200)4 (020),(11 O),], S32-[(Ca40) (002)2(101)f;], Ar3 6-[(Ca40) (002):], Ca40-[(~a40)]. Here notations (016) and (Ca40) correspond to the populated shells in 016 and Ca40. Index
<th
>)denotes
(<hole
>>state. The first excited states have the configurations
:NeZ0-[(016) (1 1 O),], Mg24-[(01
6,(200)4(020)4], Si2 '-[(016) (002), (1 01),(01 I),], S3'-[(Ca40) (200):(020)f;], Ar3 6-[(Ca40) (110)f;l. It is interesting to note that the sign of the deformation of excited states was found to be oppo- site to that of the ground states. The form of the
ground state nuclei was investigated a s well. I n our calculations we confine ourselves to only pair central forces which are selected in the form
The potential parameters are listed in Table I. In Table I1 the comparison of the obtained calculation results for I and I1 potential variants with the experi- mental data is shown. Here E is the binding energy
;R is the rms radius
; Q , is quadrupole momentum j3and
yare the deformation parameters,
3is the moment of inertia (moments of inertia for non-axial nuclei are given relative to 3 axes). E* is the excitation energy counted from the ground state. The values obtained are in good agreement with the experiment.
- + +
vT3
=W& VT3
=W&
=w:, W&
=V, r:3
= r&r13
=r 3 ~ r33
=r l l
MeV MeV MeV MeV f f f
Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:1971642
YU. T. GRIN AND A. B. KOCHETOV
-
MeV 56.5 I 60.0 I1 59.0
P e x p
MeV
I
-I1
-References
[I] GRIN (Yu. T.), Report at this Conference.
[2] GRIN (Yu. T.), KOCHETOV (A. B.), J. NucZ. Phys.
(USSR), 1970, 12, 1154.
[3] GRIN (Yu. T.), KOCHETOV (A. B.), ANAN'KIN (A. I.), J. Nucl. Phys. (USSR), 1971, 14, 5.