Degeneracies when only T=1 two-body interactions are present
Nuclear Theory
2009-11-11 v2
Abstract
In the nuclear f_7/2 shell, the nucleon-nucleon interaction can be represented by the eight values E(J)=<(f^2_{7/2})^J |V| (f^2_{7/2})^J>, J=0,1,...,7, where for even J the isospin is 1, and for odd J it is 0. If we set the T=0 (odd J) two-body matrix elements to 0 (or to a constant), we find several degeneracies which we attempt to explain in this work. We also give more detailed expressions than previously for the energies of the states in question. New methods are used to explain degeneracies that are found in {45}Ti (I=25/2- and 27/2-), {46}V (I=12^+_1 and 13^+_1, as well as I=13^+_2 and 15+), and {47}V (I=29/2- and 31/2-).
Cite
@article{arxiv.nucl-th/0505057,
title = {Degeneracies when only T=1 two-body interactions are present},
author = {A. Escuderos and B. F. Bayman and L. Zamick and S. J. Q. Robinson},
journal= {arXiv preprint arXiv:nucl-th/0505057},
year = {2009}
}
Comments
21 pages; RevTeX4. We have filled in some holes, mainly including more equations for the 44Ti Section