Particle-vibration coupling in proton decay of near-spherical nuclei

Abstract

A particle-vibration coupling model is applied to explain the spectroscopic factors and decay rates of odd-$A$ and odd-odd near-spherical proton emitters, as well as the branching ratio for the recently observed fine structure in the decay of ${}^{145}\mathrm{Tm}.$ In addition, a deformed solution for ${}^{145}\mathrm{Tm}$ with ${K=5/2}^{\ensuremath{-}}$ is presented. Using particle-vibration coupling, good agreement is achieved with observed spectroscopic factors for the near-spherical emitters, including ${d}_{3/2}$ cases. For the odd-odd emitters, the unpaired neutron is treated as a spectator. The single-particle potential used in this work has the same parameters as that used to successfully describe the decay rates of the deformed proton emitters ${}^{131}\mathrm{Eu}$ and ${}^{141}\mathrm{Ho}.$