A new potential model for alpha decay calculations

Abstract

We systematically investigate the experimental α-decay half-lives of the 263 parent nuclei in the range of 52≤Z≤107 for the ground state to ground state α-transitions in terms of a molecular potential called the Morse potential by utilizing the Wentzel-Kramers-Brillouin (WKB) approximation and Bohr-Sommerfeld quantization condition. We find out the optimum parameters of the Morse potential to explain the α-decay half-lives of the parent nuclei and compare our results with the unified model for α-decay and α capture (UMADAC) and the Universal Decay Law (UDL). In calculations of the α-decay half-lives of the parent nuclei, we achieve better results than the UMADAC and UDL models in terms of few degrees of freedom.