• Aucun résultat trouvé

CALCULATIONS OF GROUND AND EXCITED STATES OF DEFORMED NUCLEI

N/A
N/A
Protected

Academic year: 2021

Partager "CALCULATIONS OF GROUND AND EXCITED STATES OF DEFORMED NUCLEI"

Copied!
3
0
0

Texte intégral

(1)

HAL Id: jpa-00214860

https://hal.archives-ouvertes.fr/jpa-00214860

Submitted on 1 Jan 1971

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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�

(2)

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

K

of 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

<t

h

>)

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 j3

and

y

are the deformation parameters,

3

is 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

(3)

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.

Références

Documents relatifs

This choice of the incident energies assures that a two state approximation (only the two ground states of the colliding nuclei) and the method of perturbed

De plus, des énergies relativistes moyennes sont obte- nues pour toutes les configurations envisagées.. Ces écarts sont en très bon accord avec les valeurs

of even-even nuclei are calculated in the framework of the generalized liquid drop model (GLDM) by taking into account the angular momentum of the α-particle and the

For iterative decoding of coupled codes, the popular sum- product algorithm is used to calculate the symbol probabilities of the component codes.. These probabilities are

Ex curves for the discrete transitions hardly varies with their spin, and &lt;M&gt; is almost independent of Ex, which indicates that the entry line is nearly parallel to the

Since the Choquet integral includes weighted arithmetic means, ordered weighted averaging operators, and lattice polynomi- als as particular cases, our results encompass

As one could have expected from the definition of the Choquet integral, the determination of the moments and the distribution functions of the Choquet integral is closely related to

last model used for the vacancy included moments up to the third one and in this approximation only the population of the v, tx, ty, tz orbitals is affected. -