Investigation of the effect of nucleus temperature on proton decay half-lives of deformed nuclei using proximity potential

Proton decay occurs through the emission of a proton from the nucleus, resulting in a decrease in the atomic number of the parent nucleus of a unit. This decay occurs mainly in proton-rich nuclei. The proton emission mechanism is based on the quantum tunneling phenomenon and is expressed in the nuclei by Wentzel-Kramers-Brillouin or WKB approximations. The potential considered here includes the Coulomb potential for deformed nuclei, the centrifugal potential, and the nuclear potential. The nuclear potential was approximated by the proximity potential. The probability of the penetration from the potential barrier and the WKB approximation was obtained based on the half-lives of the proton decay. The effect of temperature on the surface tension of the hot nucleus was studied and a proportional relationship was considered by comparing it with the surface tension of liquids.  By applying changes in the proximity potential, the logarithm of the proton-decay and temperature-dependent decay logarithms were calculated  indicating better agreement with the experimental data. Then, in order to obtain the better comparison, the root of the mean square deviation was calculated indicating a good agreement between the laboratory and computational data in both cases