Number of Spin $I$ States of Identical Particles

Details Number of Spin $I$ States of Identical Particles Number of Spin $I$ States of Identical Particles

2005-01-27

arxiv.org/abs/nucl-th/0501070v1

Phys.Rev. C71 (2005) 047304

Physics

Nuclear Physics

Nuclear Theory

3 pages, no figures. to be published

Scientific paper

10.1103/PhysRevC.71.047304

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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