New angular momentum coupling method based on Wigner rotation theory
Nuclear Theory
2025-12-01 v3
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.
Cite
@article{arxiv.2507.00940,
title = {New angular momentum coupling method based on Wigner rotation theory},
author = {Junchao Guo and Yang Sun},
journal= {arXiv preprint arXiv:2507.00940},
year = {2025}
}
Comments
7 pages, 0 figures