Conference paper

Publication year: 1999

Pages: 86-91

Journal: Revista Mexicana de Fisica

Volume number: 45

ISSN: 0035-001X

Conference: XXII Symposium on Nuclear Physics

Publisher: Sociedad Mexicana de Fisica

Abstract: 
The "quasi SU(3)" symmetry, uncovered in realistic shell-model calculations in the pf-shell, describes the fact that in the case of well-deformed nuclei the quadrupole-quadrupole and spin-orbit interactions play a dominant role and pairing can be included as a perturbation. In terms of a SU(3) basis, it is shown that the ground state band is built from the S = 0 leading irrep which couples strongly to the leading S = 1 irreps in the proton and neutron subspaces. Furthermore, the quadrupole-quadrupole interaction was found to give dominant weights to the so-called "stretched" coupled representations, which supports a strong SU(3)-dictated truncation of the model space. Using this type of truncation scheme, we studied Cr-48, which has a excitation spectrum like that of a quantum rotor. The Hamiltonian that was used in the study includes a single-particle term as well as pairing and quadrupole-quadrupole interactions. All or the interaction strengths were fixed from systematics. The yrast band energies were well-reproduced up to the backbending regime. By extending this approach it should be possible to perform realistic shell-model calculations for deformed nuclei throughout the periodic table.

Harvard Citation style: Hirsch, J., Hess, P., Hernández, L., Vargas, C., Beuschel, T. and Draayer, J. (1999) The Elliott SU(3) model in the pf-shell, Revista Mexicana de Fisica, 45, pp. 86-91

APA Citation style: Hirsch, J., Hess, P., Hernández, L., Vargas, C., Beuschel, T., & Draayer, J. (1999). The Elliott SU(3) model in the pf-shell. Revista Mexicana de Fisica. 45, 86-91.