Temperature-dependent potential in alpha-decay process

The temperature dependence of the alpha-nucleus potential and the corresponding alpha-decay half-lives are studied with different versions of the proximity potential. The transfer matrix approach is applied to calculate the penetration probability of alpha particle. The barrier heights and widths increase with the excitation energies of the parent nuclei, which results in the increase of the alpha-decay half-lives with increasing of the temperature and decreasing of the surface energy coefficient. Based on the measured alpha-decay half-lives, we find that the temperature of the parent nuclei in decaying process decreases with the mass number of the parent nuclei.