\begin{document}$ T^{\rm{total}}_{1/2}>10^{14} $\end{document} y are reproduced with a good accuracy. It is also found that the deformation effect should be treated carefully for long-lived nuclei, especially with low \begin{document}$ Q_\alpha $\end{document} values. Predictions of the α decay half-lives of twenty naturally occurring nuclei are provided, namely, \begin{document}$ ^{142} $\end{document}Ce, \begin{document}$ ^{145,146} $\end{document}Nd, \begin{document}$ ^{149} $\end{document}Sm, \begin{document}$ ^{156} $\end{document}Dy, \begin{document}$ ^{162,164} $\end{document}Er, \begin{document}$ ^{168} $\end{document}Yb, \begin{document}$ ^{182,183,184,186} $\end{document}W, \begin{document}$ ^{187,188,189,190} $\end{document}Os, \begin{document}$ ^{192,195} $\end{document}Pt, and \begin{document}$ ^{204,206} $\end{document}Pb. These nuclei are energetically unstable to α decay with low decay energies and extremely long decay half-lives. In particular, the candidates \begin{document}$ ^{187} $\end{document}Os and \begin{document}$ ^{149} $\end{document}Sm are strongly recommended for future experiments."> Exploring the half-lives of extremely long-lived <i>α</i> emitters -
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