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

Abstract

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 {\em 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.

41 pages, 7 figures, 1 tables, submitted to Annals of Physics

References in corpus (7)

• Partial conservation of seniority and nuclear isomerism
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• Partial dynamical symmetry in quantum Hamiltonians with higher-order terms
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• Bose-Einstein condensates of atoms with arbitrary spin
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