Simplified boson mappings of symplectic shell model algebras.

Abstract

Several sets of authors have recently developed a systematic method of obtaining boson realizations of the Lie algebras of the symplectic groups, utilizing the subgroup chain Sp(2..lambda..)containsU(..lambda..). Physical motivation stems both from the Sp(6,R-italic) collective model (noncompact algebra) and various shell-model applications (compact algebra). We present here a number of the simplest examples of interest for shell-model application. These include the L-italicS-italic coupled (identical nucleon) shell-model algebra (for application to the pseudo-SU(3) model) and the Sp(6) model of Ginocchio.