One-body parity and time reversal violating potentials

Abstract

It is of great importance to relate the results of nuclear gamma-ray distribution measurements to the fundamental parity (P) and time (PT) violating meson-nucleon coupling constants. To facilitate this program we derive a one-body mean-field potential from the two-body PT violating pion-exchange potentials. This potential includes a suppression due to the finite meson range of about 0.7 in the rare-earth nuclei and 0.4 in the s-d shell nuclei. We compare exact numerical results to an approximate analytic formula and find good agreement. We discuss the energy distribution of the nuclear PT violating impurity. This is overwhelmingly concentrated at relatively large excitation energies, around 1ħω. Nevertheless, in heavier deformed nuclei there is a small PT violating strength at low energies due to the interaction of natural parity states with the unnatural parity intruder subshell. This impurity can be significantly enhanced due to the small energy denominators.