\begin{document}$ P_c $\end{document} to be \begin{document}$\log_{10}P_c= $\end{document}\begin{document}$ ({A_c-1})/{3}\log_{10}P_\alpha + \,c'$\end{document}, where \begin{document}$ P_\alpha $\end{document} and \begin{document}$ c' $\end{document} are the α-particle preformation probability and an adjustable parameter proposed by Wang et al. [Chin. Phys. C 45, 044111 (2021)], respectively, we extend a new simple model put forward by Bayrak [J. Phys. G 47, 025102 (2020)] to systematically study the cluster radioactivity half-lives of 28 trans-lead nuclei ranging from \begin{document}$\rm{^{222}Fr}$\end{document} to \begin{document}$ \rm{^{242}Cm} $\end{document}, which is based on the Wentzel-Kramers-Brillouin approximation and Bohr–Sommerfeld quantization condition. For comparison, a universal decay law proposed by Qi et al. [Phys. Rev. C 80, 044326 (2009)], a three-parameter model-independent formula put forward by Balasubramaniam et al. [Phys. Rev. C 70, 017301 (2004)], and the semi-empirical model proposed by Tavares et al. [Eur. Phys. J. A 49, 1 (2013)] are used. Our calculated results reproduce the experimental data well, with a standard deviation of 0.818. Furthermore, we use this model to predict the cluster radioactivity half-lives of 51 possible cluster radioactive candidates whose cluster radioactivities are energetically allowed or observed but not yet quantified in NUBASE2020."> Simple model for cluster radioactivity half-lives in trans-lead nuclei -
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