Nonlocality effect in $\alpha$ decay half-lives for even-even nuclei within a two potential approach

Abstract

In this paper, we carefully look at the $\alpha$ -decay half-lives of 196 even-even nuclei using a two-potential approach that is made better by taking into account an alpha particle's effective mass that changes with coordinates. The result shows that the accuracy of this model has been improved after considering effective mass for the alpha particle. Furthermore, considering $\alpha$ decay energies derived from three mass models, namely the Weizsacker-Skyrme-4 (WS4) mass model, the relativistic continuum Hartree-Bogoliubov theory mass model, and the FRDM (2012), we extend this model to predict the $\alpha$ -decay half-lives of Z = 118 and 120 isotopes. Finally, we carefully study the predicted $\alpha$ decay energies and half-lives of Z = 118 and 120 isotopes and discuss the shell structure of superheavy nuclei. We found that the shell effect is obvious at N = 178 and at N = 184 in the WS4 mass model and FRDM(2012), while the shell effect is only obvious at N = 184 in the relativistic continuum Hartree-Bogoliubov theory mass model.