Solvability of eigenvalues in jn configurations
Nuclear Theory
2015-05-18 v1
Abstract
Eigenvalues of eigenstates in jn configurations (n identical nucle- ons in the j -orbit) are functions of two-body energies. In some cases they are linear combinations of two-body energies whose coe+/-cients are independent of the interaction and are rational non-negative num- bers. It is shown here that a state which is an eigenstate of any two-body interaction has this solvability property. This includes, in particular, any state with spin J if there are no other states with this J in the jn configuration. It is also shown that eigenstates with solvable eigenvalues have definite seniority v and thus, exhibit partial dynamical symmetry.
Keywords
Cite
@article{arxiv.1005.0232,
title = {Solvability of eigenvalues in jn configurations},
author = {Igal Talmi},
journal= {arXiv preprint arXiv:1005.0232},
year = {2015}
}