  In this work, we expand upon our previous study, the effect of surface
vibrations (low-lying vibrational states) on the calculation of penetration
probability in alpha decay of spherical isotopes [Phys.Rev.C91,034611(2015)].
To this aim, the Coulomb and proximity potential model, taking in to account
the ground state deformations of the involved nuclei along with the surface
vibrations in the daughter nucleus, is used to evaluate the alpha decay
probability. The results are compared with those obtained by spherical
potential barrier, which shows the dramatic effect of employing the ground
state deformations in case of deformed nuclei. As well, including of surface
vibrations give rise to an increase in the value of tunneling probability in
better agreement with experimental data.
