Based on the newest experimentally extracted nuclear density distributions for double-magic nucleus 208Pb\documentclass[12pt]{minimal}
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\begin{document}$$^{208}\text {Pb}$$\end{document} (Tarbert et al. in Phys Rev Lett 112:242502, 2014), the sensitivity of α\documentclass[12pt]{minimal}
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\begin{document}$$\alpha $$\end{document}-decay half-life to nuclear skin thickness is explored in the vicinity of the shell closure region around 208Pb\documentclass[12pt]{minimal}
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\begin{document}$$^{208}\text {Pb}$$\end{document}, i.e., isotopes of Z=82\documentclass[12pt]{minimal}
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\begin{document}$$Z=82$$\end{document} and isotones of N=126\documentclass[12pt]{minimal}
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\begin{document}$$N=126$$\end{document}. With the two-parameter Fermi (2PF) density distributions and an analytically derived formula, the α\documentclass[12pt]{minimal}
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\begin{document}$$\alpha $$\end{document}-decay half-life is found to be closely related to the magnitude of nuclear skin thickness. For α\documentclass[12pt]{minimal}
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\begin{document}$$\alpha $$\end{document} decays to the Z=82\documentclass[12pt]{minimal}
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\begin{document}$$Z=82$$\end{document} isotopes, the α\documentclass[12pt]{minimal}
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\begin{document}$$\alpha $$\end{document}-decay half-life is found to decrease with the increasing neutron skin thickness, while the opposite behavior is found for α\documentclass[12pt]{minimal}
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\begin{document}$$\alpha $$\end{document} decays to the N=126\documentclass[12pt]{minimal}
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\begin{document}$$N=126$$\end{document} isotones. Therefore, it could be a possible way to extract the nuclear skin thickness from measured α\documentclass[12pt]{minimal}
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\begin{document}$$\alpha $$\end{document}-decay half-lives.