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 ${\log }_{10}{T}_{\alpha }\left(s\right)$, for each formula and our study indicate that, for alpha decay studies, generally, analytical ℓ-dependent formula proposed by Royer, with ${\sigma }^{\text{RB}}=0.4373$, is the best model followed by the formula proposed by Denisov and Khudenko (DK), ${\sigma }^{\text{DK}}=0.4743$ for all 356 nuclei. We hope the present study is a clear indicator of the predictive power of Royer and related formula.