Simplified boson mappings of symplectic shell model algebras

Journal Article · Fri Aug 01 04:00:00 EDT 1986 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.34.686· OSTI ID:5426092

Bonatsos, D; Klein, A; Zhang, Q

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.

• Research Organization: Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104
• OSTI ID: 5426092
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 34:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BOSONS
COLLECTIVE MODEL
DEFORMED NUCLEI
INTERACTING BOSON MODEL
ISOSPIN
LIE GROUPS
MATHEMATICAL MODELS
NONUNITARY REPRESENTATIONS
NUCLEAR MODELS
NUCLEI
PARTICLE PROPERTIES
PAULI PRINCIPLE
QUANTUM NUMBERS
SHELL MODELS
SP GROUPS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS