\begin{document}$ N = 126 $\end{document} shell closure. We propose an improved Royer law by adding a shell-correction term, an odd-even pairing indicator, and an orbital-angular-momentum contribution. This unified framework reduces the number of free parameters to just four, leading to significant improvements in accuracy. The root-mean-square deviation across 550 experimental data points decreases from 0.520 to 0.279, corresponding to a 66.7% reduction in parameters and 46.3% improvement in accuracy. Using this refined formalism, we predict α-decay half-lives for superheavy nuclei with atomic numbers \begin{document}$ Z = 117-120 $\end{document}."> Unified Royer law revision for <i>α</i>-decay half-lives: shell corrections, pairing, and orbital-angular-momentum -
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