\begin{document}$ \nu $\end{document} as a function of the \begin{document}$ \alpha $\end{document} decay energy and charge radius of parent nucleus, with the \begin{document}$ \alpha $\end{document} decay preformation factor \begin{document}$ P_\alpha $\end{document} being calculated through the cluster-formation model (CFM), we systematically investigate the \begin{document}$ \alpha $\end{document} decay half-lives of 559 nuclei from the ground state, including 177 even-even, 277 odd-A, and 105 odd-odd nuclei. The calculated results indicate that our model can effectively reproduce the experimental data, with a corresponding standard deviation of 0.408. In addition, we use this model to predict the \begin{document}$ \alpha $\end{document} decay half-lives of 70 even-even, odd-A, and odd-odd nuclei with Z = 119 and 120. For comparison, we also use 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)]. The calculated results are in good agreement."> Systematic study of <i>α</i> decay half-life within cluster-formation model -
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