Nucleons pair shell model in M-scheme
Nuclear Theory
2020-08-12 v1
Abstract
The nucleon pair shell model (NPSM) is casted into the so-called M-scheme for the cases with isospin symmetry and without isospin symmetry. The odd system and even system are treated on the same foot. The uncoupled commutators for nucleon-pairs, which are suitable for M-scheme, are given. Explicit formula of matrix elements in M-scheme for overlap, one-body operators, two-body operators are obtained. It is found that the time used in calculating the matrix elements in M-scheme is much shorter than that in the J-scheme of NPSM.
Keywords
Cite
@article{arxiv.2004.09945,
title = {Nucleons pair shell model in M-scheme},
author = {BingCheng He and Yu Zhang and Lei Li and YanAn Luo and Feng Pan and J. P. Draayer},
journal= {arXiv preprint arXiv:2004.09945},
year = {2020}
}
Comments
38 pages, 2 figures