Abstract
In this work, new recursion relations for the number of spin- states for identical particles in a single- 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- shell: the number of states with an even value of is larger than the number of states with an odd value of . An analytical expression of the excess of states with an even value of is provided, and its asymptotic behavior for large values of is discussed.
- Received 1 April 2018
DOI:https://doi.org/10.1103/PhysRevC.97.064311
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