\begin{document}$T_{\rm SF}$\end{document} of heavy and super-heavy nuclei. Based on the effective tunneling barrier (ETB), the proposed approach reproduces the SF half-lives of 79 known nuclei with an average deviation of 0.8, which is \begin{document}$17$\end{document}% smaller than that of the linear correlation approach recently proposed in [N. S. Moiseev, N. V. Antonenko and G. G. Adamian, Phys. Rev. C 112, 034607 (2025)]. For superheavy nuclei with \begin{document}$45\leqslant N-Z \leqslant 61$\end{document}, the predicted SF half-lives from these two different phenomenological models are in good agreement with each other. The ETB calculations implies that the β-decay energy affects the SF half-lives of nuclei far from the β-stability line. For superheavy nuclei around the magic number \begin{document}$N=184$\end{document}, the predicted \begin{document}$T_{\rm SF}$\end{document} of \begin{document}$^{304}$\end{document}120 is much shorter than that of \begin{document}$^{298}$\end{document}Fl. With predicted values of about \begin{document}$10 \sim 160$\end{document} ms for \begin{document}$T_{\rm SF}$\end{document}, the unmeasured SHN \begin{document}$^{293}119 $\end{document} could survive for long enough to reach the focal-plane detector in detection systems like the gas-filled recoil separator SHANS in Lanzhou."> Spontaneous fission half-lives for heavy and super-heavy nuclei from phenomenological models -
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