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

P. van Isacker 1 S. Heinze 2
1 Théorie
GANIL - Grand Accélérateur National d'Ions Lourds
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.
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Submitted on : Monday, June 16, 2014 - 4:37:31 PM
Last modification on : Thursday, February 1, 2018 - 1:34:30 AM
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P. van Isacker, S. Heinze. Seniority in quantum many-body systems. I. Identical particles in a single shell. Annals of Physics, Elsevier Masson, 2014, 349, pp.73-99. ⟨10.1016/j.aop.2014.06.011⟩. ⟨in2p3-01007012⟩

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