Competition between α-decay and proton radioactivity within a generalized liquid drop model

Abstract

The α-decay and proton radioactivity half-lives of a number of spherical nuclei in the proton range Z = 51–83 were investigated within a generalized liquid drop model (GLDM), including the proximity effects between nuclei in a neck and the mass and charge asymmetry. The penetrability on potential barrier constructed by the GLDM is calculated by the WKB approximation for the two decay modes. The spectroscopic factors (Sp) evaluated by the relativistic mean field theory combined with the BCS method for the proton radioactivity. The agreement between theoretical results and experimental data is satisfactory for both α and proton emission, which allows us to make predictions about the half-lives of the two decay modes for some unstable nuclei in the same theoretical framework.