K representation for odd-odd nuclei in the interacting boson-fermion-fermion model. II. Band mixing in the normal and conflicting case and electromagnetic properties

Journal Article · Thu Feb 01 04:00:00 EST 1990 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.41.757· OSTI ID:7102551

Vretenar, D; Brant, S; Paar, V; Sunko, D K ^[1]

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1. Prirodoslovno-matematicki Fakultet, University of Zagreb, 41000 Zagreb, Yugoslavia (YU)

The formation of band patterns in odd-odd nuclei is investigated in the SU(3) limit of the interacting boson-fermion-fermion model. For two holes (particles) coupled to the SU(3) prolate (oblate) core, we study the algebraic {ital K}-representation basis which is the analog of the strong-coupling basis of the geometrical model. In the case of a particle and a hole coupled to the SU(3) core, we derive a new algebraic basis which, in the limit of the large boson number, becomes equivalent to the semi-decoupling basis of the particle-rotor model. For a simple demonstration case which was proposed in the first part of this work, the interacting boson-fermion-fermion-model Hamiltonian is explicitly diagonalized in these algebraic bases and all bands, which derive their parentage from the (2{ital N},0) representation of the SU(3) boson core, are identified. Electromagnetic properties of low-lying bands are calculated and compared to the predictions of the geometrical model of Bohr and Mottelson. We also present an illustrative calculation for the realistic case ({pi}{ital h})(11/2,{nu}{ital i} 13/2) and identify several low-lying bands.

• OSTI ID: 7102551
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 41:2; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BAND THEORY
BASIC INTERACTIONS
ELECTROMAGNETIC INTERACTIONS
FUNCTIONS
HAMILTONIANS
INTERACTING BOSON MODEL
INTERACTIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
NUCLEI
ODD-ODD NUCLEI
PARTICLE MODELS
PARTICLE-HOLE MODEL
QUANTUM NUMBERS
QUANTUM OPERATORS
SHELL MODELS
SINGLE-PARTICLE MODEL
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
WAVE FUNCTIONS