Systematic study of α-decay half-lives using Royer and related formula

The alpha decay half-lives of 356 isotopes were studied using the Royer and related Formula and are compared with experimental data. The study shows that the predicted half-lives match well with experimental data over a wide range for each (Z,N) parity of the parent nuclei. We have calculated the standard deviation of log10⁡Tα(s), for each formula and our study indicate that, for alpha decay studies, generally, analytical ℓ-dependent formula proposed by Royer, with σRB=0.4373, is the best model followed by the formula proposed by Denisov and Khudenko (DK), σDK=0.4743 for all 356 nuclei. We hope the present study is a clear indicator of the predictive power of Royer and related formula.