Seniority in quantum many-body systems. I. Identical particles in a single shell

Journal Article · Wed Oct 15 04:00:00 EDT 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.06.011· OSTI ID:22403402

Heinze, S. ^[1]

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1. Institut für Kernphysik der Universität zu Köln, 50937 Köln (Germany)

A discussion of the seniority quantum number in many-body systems is presented. The analysis is carried out for bosons and fermions simultaneously but is restricted to identical particles occupying a single shell. The emphasis of the paper is on the possibility of partial conservation of seniority which turns out to be a peculiar property of spin-9/2 fermions but prevalent in systems of interacting bosons of any spin. Partial conservation of seniority is at the basis of the existence of seniority isomers, frequently observed in semi-magic nuclei, and also gives rise to peculiar selection rules in one-nucleon transfer reactions. - Highlights: • Unified derivation of conditions for the total and partial conservation of seniority. • General analysis of the partial conservation of seniority in boson systems. • Why partial conservation of seniority is crucial for seniority isomers in nuclei. • The effect of partial conservation of seniority on one-nucleon transfer intensities.

• OSTI ID: 22403402
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Vol. 349; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
INTERACTING BOSON MODEL
ISOMERS
MAGIC NUCLEI
MANY-BODY PROBLEM
ONE-NUCLEON TRANSFER REACTIONS
QUANTUM MECHANICS
SELECTION RULES
SPIN