Dynamical particle-phonon couplings in proton emission from spherical   nuclei
  We present results of coupled-channels calculations which are performed to understand the role of vibrational excitations of the daughter nucleus in proton emission decay of spherical nuclei. It is shown that the experimental decay rates from the 2$d_{3/2}$, 3$s_{1/2}$ and 1$h_{11/2}$ states in proton emitting nuclei $^{160,161}$Re are reproduced simultaneously when the quadrupole phonon excitation of the core nuclei is taken into account. We apply the formalism also to the $^{145}$Tm nucleus and show that good agreement is achieved with the recently measured branching ratio for the fine structure. 
K. Hagino