Shell model structure of proxy-SU(3) pairs of orbitals
Nuclear Theory
2020-10-23 v1
Abstract
The Nilsson orbitals used in the substitutions occurring in the proxy-SU(3) scheme, which are the orbitals bearing the maximum value of total angular momentum in each shell, have an extremely simple structure in the shell model basis |N l j Omega>, with each Nilsson orbital corresponding to a single shell model eigenvector. This simple structure is valid at all deformations for these orbitals, while in other orbitals it is valid only at small deformations. Nilsson 0[110] pairs are found to correspond to |1 1 1 0> pairs in the spherical shell model basis, paving the way for using the proxy-SU(3) approximation within the shell model.
Keywords
Cite
@article{arxiv.2008.13220,
title = {Shell model structure of proxy-SU(3) pairs of orbitals},
author = {Dennis Bonatsos and Hadi Sobhani and Hassan Hassanabadi},
journal= {arXiv preprint arXiv:2008.13220},
year = {2020}
}
Comments
10 pages, 5 tables