Exact boson mappings for nuclear neutron (proton) shell-model algebras having S-italicU-italic(3) subalgebras

Journal Article · Sun Jun 01 04:00:00 EDT 1986 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(86)90159-4· OSTI ID:5519603

Bonatsos, D; Klein, A

In this paper the commutation relations of the fermion pair operators of identical nucleons coupled to spin zero are given for the general nuclear major shell in LST coupling. The associated Lie algebras are the unitary symplectic algebras S-italicp-italic(2M-italic). The corresponding multipole subalgebras are the unitary algebras U-italic(M-italic), which possess S-italicU-italic(3) subalgebras. Number conserving exact boson mappings of both the Dyson and hermitian form are given for the nuclear neutron (proton) s--d-italic, p-italic--f-italic, s-italic--d-italic--g-italic, and p-italic--f-italic--h-italic shells, and their group theoretical structure is emphasized. The results are directly applicable in the case of the s-italic--d-italic shell, while in higher shells the experimentally plausible pseudo-S-italicU-italic(3) symmetry makes them applicable. The final purpose of this work is to provide a link between the shell model and the Interacting Boson Model (IBM) in the deformed limit. As already implied in the work of Draayer and Hecht, it is difficult to associate the boson model developed here with the conventional IBM model. The differences between the two approaches (due mainly to the effects of the Pauli principle) as well as their physical implications are extensively discussed.

• Research Organization: Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104-3859
• OSTI ID: 5519603
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 169:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COMMUTATION RELATIONS
INTERACTING BOSON MODEL
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MAPPING
MATHEMATICAL MODELS
NUCLEAR MODELS
SHELL MODELS
SP GROUPS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS