Degeneracies with the Q.Q interaction in a single j shell

Larry Zamick; Alberto Escuderos

Degeneracies with the Q.Q interaction in a single j shell

Nuclear Theory 2017-03-14 v3

Authors: Larry Zamick , Alberto Escuderos

Abstract

Previously [1] it was shown that for a configuration of 2 protons and 2 neutrons in the g_{9/2}shell there is a certain degeneracy that occurs when the quadrupole-quadrupole interaction (Q.Q) is used to to obtain the wave functions.. We here show 3 other examples of such degenerate pairs, all, as before, involving T=0 and T=2 states. . More important we discuss an unusual peculiarity of the original example. Also we point out that degeneracies can be confusing and steps can be taken to remove them.

Keywords

nuclear structure radiative decays deformation quantization

Cite

@article{arxiv.1605.03414,
  title  = {Degeneracies with the Q.Q interaction in a single j shell},
  author = {Larry Zamick and Alberto Escuderos},
  journal= {arXiv preprint arXiv:1605.03414},
  year   = {2017}
}