Symmetries and deformations in the spherical shell model - IN2P3 - Institut national de physique nucléaire et de physique des particules Accéder directement au contenu
Article Dans Une Revue Physica Scripta Année : 2016

Symmetries and deformations in the spherical shell model

Résumé

We discuss symmetries of the spherical shell model that make contact with the geometric collective model of Bohr and Mottelson. The most celebrated symmetry of this kind is SU(3), which is the basis of Elliott's model of rotation. It corresponds to a deformed mean field induced by a quadrupole interaction in a single major oscillator shell N and can be generalized to include several major shells. As such, Elliott's SU(3) model establishes the link between the spherical shell model and the (quadrupole component of the) geometric collective model. We introduce the analogue symmetry induced by an octupole interaction in two major oscillator shells N-1 and N, leading to an octupole-deformed solution of the spherical shell model. We show that in the limit of large oscillator shells (large N) the algebraic octupole interaction tends to that of the geometric collective model.
Fichier principal
Vignette du fichier
bm.pdf (1.24 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

in2p3-01256494 , version 1 (14-01-2016)

Identifiants

Citer

P. van Isacker, S. Pittel. Symmetries and deformations in the spherical shell model. Physica Scripta, 2016, 91 (2), 023009 (23pp). ⟨10.1088/0031-8949/91/2/023009⟩. ⟨in2p3-01256494⟩
32 Consultations
19 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More