Seniority in quantum many-body systems. I. Identical particles in a single shell
Nuclear Theory
2014-07-16 v1
Abstract
A discussion of the seniority quantum number in many-body systems is presented. The analysis is carried out for bosons and fermions simultaneously but is restricted to identical particles occupying a single shell. The emphasis of the paper is on the possibility of {\em partial} conservation of seniority which turns out to be a peculiar property of spin-9/2 fermions but prevalent in systems of interacting bosons of any spin. Partial conservation of seniority is at the basis of the existence of seniority isomers, frequently observed in semi-magic nuclei, and also gives rise to peculiar selection rules in one-nucleon transfer reactions.
Cite
@article{arxiv.1406.4094,
title = {Seniority in quantum many-body systems. I. Identical particles in a single shell},
author = {P. Van Isacker and S. Heinze},
journal= {arXiv preprint arXiv:1406.4094},
year = {2014}
}
Comments
41 pages, 7 figures, 1 tables, submitted to Annals of Physics