SU(3) description of the spin-orbit interaction

C. Vargas, Centro de Investigacion y de Estudios Avanzados
J. G. Hirsch, Centro de Investigacion y de Estudios Avanzados
P. O. Hess, Instituto de Ciencias Nucleares de la UNAM
J. P. Draayer, Louisiana State University

Abstract

A SU(3) basis is used to study a Hamiltonian with realistic quadrupole-quadrupole and spin-orbit interactions. The ground state band main components are the S = O leading irrep and the leading S = 1 irreps in the proton and neutron subspaces. The quadrupole-quadrupole interaction is found to give dominant weights to the 'stretched' coupled representations, supporting a strong truncation of the Hilbert space.