Model test of boson mappings

Journal Article · Wed Jul 01 04:00:00 EDT 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.46.220· OSTI ID:7048246

Navratil, P; Dobes, J ^[1]

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1. Institute of Nuclear Physics, Czechoslovak Academy of Sciences, 250 68 Rez (Czechoslovakia)

Methods of boson mapping are tested in calculations for a simple model system of four protons and four neutrons in single-{ital j} distinguishable orbits. Two-body terms in the boson images of the fermion operators are considered. Effects of the seniority {ital v}=4 states are thus included. The treatment of unphysical states and the influence of boson space truncation are particularly studied. Both the Dyson boson mapping and the seniority boson mapping as dictated by the similarity transformed Dyson mapping do not seem to be simply amenable to truncation. This situation improves when the one-body form of the seniority image of the quadrupole operator is employed. Truncation of the boson space is addressed by using the effective operator theory with a notable improvement of results.

• OSTI ID: 7048246
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 46:1; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

663120* -- Nuclear Structure Models & Methods-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COLLECTIVE MODEL
DYSON REPRESENTATION
INTERACTING BOSON MODEL
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR STRUCTURE
SHELL MODELS