Number of Spin I States of Identical Particles
classification
⚛️ nucl-th
keywords
spinnumberstatesbosonsdenoteddiscernedenumeratedenumeration
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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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