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

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.

submitted to Phys. Rev. C

References in corpus (5)

• Partial Dynamical Symmetries in the g9/2 Shell-Progress and Puzzles
• Number of Spin $I$ States of Identical Particles
• Expressions for the number of J=0 pairs in even-even Ti isotopes
• Asymptotics of the 3j and 9j Coefficients
• Relations for Four Nucleons in a Single j Shell-using 9j Symbols to get rid of 9j Symbols

Cited by in corpus (2)

• Total number of $J$ levels for identical particles in a single-$j$ shell using coefficients of fractional parentage
• Exact expressions for the number of levels in single-\textit{j} orbits for three, four and five fermions