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.

arXiv comment41 pages, 7 figures, 1 tables, submitted to Annals of Physics

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Cited by in corpus (16)

• Symmetry-guided large-scale shell-model theory
• Is Seniority a Partial Dynamic Symmetry in the First $\nu g_{9/2}$ Shell?
• Partial conservation of seniority and its unexpected influence on E2 transitions in $g_{9/2}$ nuclei
• Symplectic group structure of the 48Cr, 88Ru, and 92Pd ground states
• Partial dynamical symmetries and shape coexistence in nuclei
• Partial dynamical symmetry in Bose-Fermi systems
• Partial dynamical symmetry from energy density functionals
• Seniority and $(\frac{9}{2}{)}^n$ configurations in neutron-rich Nickel isotopes
• Coexisting partial dynamical symmetries and multiple shapes
• SU(3) partial dynamical symmetry and nuclear shapes
• Partial conservation of seniority in semi-magic nuclei
• Higher-rank discrete symmetries in the IBM. III Tetrahedral shapes
• Relation to a property of the angular momentum zero space of states of four fermions in an angular momentum $j=9/2$ shell unexpectedly found to be stationary for any rotationally invariant two-body interaction
• Shell Model Symmetries-Honoring Franco Iachello
• Simultaneous occurrence of distinct symmetries in nuclei
• Symmetry Remnants in the Face of Competing Interactions in Nuclei