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arXiv · 2507.00940

New angular momentum coupling method based on Wigner rotation theory

Junchao Guo·Yang Sun
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Abstract

We present a new method for constructing the total angular momentum of many-nucleon states. We find that the restrictions imposed by the fermion antisymmetry on the total state are fully absorbed into the single-j space when the broken rotational symmetry of the product state is restored by angular momentum projection. For different j-shells, any total angular momentum that obeys the selection rule is allowed, just as for non-identical particles. The method based on this reorganization is conceptually different from the traditional J and m schemes and may help to improve the efficiency of angular momentum coupling in nuclear many-body calculations.

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Junchao Guo, Yang Sun. 2025-11-11. New angular momentum coupling method based on Wigner rotation theory. https://doi.org/10.1103/jrmj-hfwy

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