Boson mappings of the fermion dynamical symmetry model

Journal Article · Mon Aug 01 04:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.784· OSTI ID:7015170

Dobes, J ^[1]; Navratil, P; Geyer, H B ^[2]

---

1. Institute of Nuclear Physics, Czech Academy of Sciences, CS 250 68 Rez (Czech Republic)
2. Institute of Theoretical Physics, University of Stellenbosch, Stellenbosch 7600 (South Africa)

We introduce boson mappings of the fermion dynamical symmetry model (FDSM) to investigate and clarify the relation between the FDSM and the proton-neutron interacting boson model (IBM). The Dyson boson mapping is employed in a dual role---it is first used to obtain exact FDSM results and then as the starting point to obtain some hermitized mappings. By hermitizing the Dyson boson image of the FDSM Hamiltonian through a seniority dictated similarity transformation or by using a Belyaev-Zelevinsky mapping and retaining in both instances one- and two-body terms only, one obtains an IBM type Hamiltonian. FDSM and boson mapped results are then compared for a few typical cases. We reexamine, from the boson point of view, recent statements about an effective SO(6) symmetry when [sup 196]Pt is analyzed in the FDSM and about the appearance of normal (maximal [ital F]-spin) and exotic states in an application of the FDSM to [sup 134]Ba. Throughout our analysis possible spurious states, which may appear as a result of an effective overcompleteness in the (linearly independent) boson basis, are properly identified. We discuss when and where these states appear in the spectra, and the possible implications these considerations may have for allowed representations in the IBM and FDSM.

• OSTI ID: 7015170
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 50:2; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663110 -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
663120* -- Nuclear Structure Models & Methods-- (1992-)
663560 -- Nuclear Mass Ranges-- A=90-149-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALINE EARTH ISOTOPES
BARIUM 134
BARIUM ISOTOPES
BARYON-BARYON INTERACTIONS
BELYAEV THEORY
BOSONS
COLLECTIVE EXCITATIONS
COLLECTIVE MODEL
ENERGY SPECTRA
ENERGY-LEVEL TRANSITIONS
EVEN-EVEN NUCLEI
EXCITATION
FERMIONS
HADRON-HADRON INTERACTIONS
INTERACTING BOSON MODEL
INTERACTIONS
INTERMEDIATE MASS NUCLEI
ISOTOPES
LIE GROUPS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PROTON-NEUTRON INTERACTIONS
PROTON-NUCLEON INTERACTIONS
SHELL MODELS
SO GROUPS
SO-6 GROUPS
SPECTRA
STABLE ISOTOPES
SYMMETRY GROUPS