Seniority in quantum many-body systems. I. Identical particles in a single shellReport as inadecuate




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1 Théorie GANIL - Grand Accélérateur National d-Ions Lourds 2 Institut für Kernphysik der Universität zu Köln

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.

Keywords : quantum mechanics many-body systems seniority nuclear shell model interacting bosons





Author: P. Van Isacker - S. Heinze -

Source: https://hal.archives-ouvertes.fr/



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