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Number of Spin $I$ States of Identical Particles

Y. M. Zhao·A. Arima
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Abstract

In this paper we study the enumeration of number (denoted as ${D_I}$) of spin $I$ states for fermions in a single-$j$ shell and bosons with spin $l$. We show that $D_I$ can be enumerated by the reduction from SU$(n+1)$ to SO(3). New regularities of $D_I$ are discerned.

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Y. M. Zhao, A. Arima. 2005-01-27. Number of Spin $I$ States of Identical Particles. https://doi.org/10.1103/physrevc.71.047304

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