Systematic study of α decay half-life within cluster-formation model

In this study, based on the Wentzel-Kramers-Brillouin (WKB) theory, parameterizing the assault frequency ν as a function of the α decay energy and charge radius of parent nucleus, with the α decay preformation factors P_α being calculated through the cluster-formation model (CFM), we systematically investigate the α decay half-lives of 559 nuclei from the ground state, including 177 even-even, 277 odd-A, and 105 odd-odd nuclei. The calculated results indicate that our model can effectively reproduce the experimental data, with a corresponding standard deviation of 0.408. In addition, we use this model to predict the α decay half-lives of 70 even-even, odd-A, and odd-odd nuclei with Z = 119 and 120. For comparison, the universal decay law (UDL) proposed by Qi $et$ $al.$ [Phys. Rev. Lett 103, 072501 (2009)] and the unitary Royer formula (DZR) proposed by Deng $et$ $al.$ [Phys. Rev. C 101, 034307 (2020)] are also used. These calculated results are essentially consistent.