Dimension of Identical Particles and Sum Rules for Angular Momentum Couplings
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Graphical Abstract
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Abstract
In this paper I would like to discuss the strategy in obtaining analytical formulas of number of spin I states of identical particles, and the relationship between dimension and sum rules for angular momentum couplings such as six-j and nine-j symbols. I shall also discuss the J-pairing interaction, number of states with spin I and isospin T, i. e. , number of states for nucleons in a single-j shell.
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