The quantum mechanical effects are investigated on the half-life of α decay. To this aim the penetration probability in α decay of spherical isotopes of 146 Sm, 148 Sm, 148 Gd, and 224 Ra is calculated by employing coupled channel formalism by considering the effects of surface vibrations in the daughter nucleus; the obtained results are compared with those calculated by the semiclassical WKB approximation using two versions of the proximity potential. It is shown that by including low-lying excitation states the results are modified, in better agreement with experimental data.
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 α 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.
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