A microscopic energy term is introduced into the $\alpha$-decay energy correlation formula and further extended to half-life predictions, substantially improving the predictive accuracy of both quantities, particularly in regions near nuclear shell closures. For 96 reference-target pairs, the root-mean-square deviation (RMSD) of the predicted $\alpha$-decay energies decreases from 0.052 to 0.018 MeV upon inclusion of the correction. Building upon the Royer systematics, we develop an improved neighboring-nuclei $\alpha$-decay half-life law (the NR formula) by incorporating the microscopic energy term. For 170 even-even nuclei, the RMSD of predicted ${log}_{10}{T}_{1/2}$ values decreases from 0.324 to 0.186, representing a 43% improvement over the original Royer formula.

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• Alpha decay
• Binding energy & masses
• Lifetimes & widths
• Nuclear structure & decays