Number of spin-J states and odd-even staggering for identical particles in a single-j shell

Jean-Christophe Pain
Phys. Rev. C 97, 064311 – Published 14 June 2018

Abstract

In this work, new recursion relations for the number of spin-J states for identical particles in a single-j shell are presented. Such relations are obtained using the generating-function technique, which enables one to exhibit an odd-even staggering in the spin distribution of an even number of fermions in a single-j shell: the number of states with an even value of J is larger than the number of states with an odd value of J. An analytical expression of the excess of states with an even value of J is provided, and its asymptotic behavior for large values of j is discussed.

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  • Received 1 April 2018

DOI:https://doi.org/10.1103/PhysRevC.97.064311

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Jean-Christophe Pain*

  • CEA, DAM, DIF, F-91297 Arpajon, France

  • *jean-christophe.pain@cea.fr

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Issue

Vol. 97, Iss. 6 — June 2018

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