Seniority mapping of single fermion operators

Journal Article · Wed Nov 01 04:00:00 EST 1989 · Physical Review (Section) C: Nuclear Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevC.40.2383· OSTI ID:5119733

Geyer, H B ^[1]; Morrison, I ^[2]

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1. School of Physics, The University of Melbourne, Parkville, Victoria 3052, Australia (AU) Fachbereich 7-Physik, Universitaet-GH-Siegen, D-5900 Siegen, Federal Republic of Germany (DE)
2. School of Physics, The University of Melbourne, Parkville, Victoria 3052, Australia (AU)

We discuss the construction of ideal space seniority images of single fermion operators which proceeds via the generalized Dyson mapping and a subsequent similarity transformation. Particular attention is paid to the implications of a consistent treatment of single-particle and collective degrees of freedom. The results are compared with expressions for the mapped single fermion operators previously obtained, respectively, within the Otsuka-Arima-Iachello framework and by using the prescriptions of nuclear field theory. We point out certain inconsistencies in existing constructions of interacting-boson-fermion model operators in general and the interacting-boson-fermion model quadrupole operator in particular.

• OSTI ID: 5119733
• Journal Information: Physical Review (Section) C: Nuclear Physics; (USA), Journal Name: Physical Review (Section) C: Nuclear Physics; (USA) Vol. 40:5; 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
ANGULAR MOMENTUM
BOSON EXPANSION
DEGREES OF FREEDOM
DYSON REPRESENTATION
FERMIONS
FIELD THEORIES
INTERACTING BOSON MODEL
MATHEMATICAL MODELS
MATRIX ELEMENTS
NUCLEAR MODELS
PARTICLE MODELS
QUANTUM NUMBERS
SENIORITY NUMBER
SHELL MODELS
SINGLE-PARTICLE MODEL