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Based on the recent data in NUBASE2012, an improved empirical formula forevaluating the $\alpha$-decay half-lives is presented, in which the hindranceeffect resulted from the change of the ground state spins and parities ofparent and daughter nuclei is included, together with a new correction factorfor nuclei near the shell closures. The calculated $\alpha$-decay half-livesare found to be in better agreements with the experimental data, and thecorresponding root-mean-square (rms) deviation is reduced to $0.433$ when theexperimental $Q$-values are employed. Furthermore, the $Q$-values derived fromdifferent nuclear mass models are used to predict $\alpha$-decay half-liveswith this improved formula. It is found that the calculated half-lives are verysensitive to the $Q$-values. Remarkably, when mass predictions are improvedwith the radial basis function (RBF), the resulting rms deviations can besignificantly reduced. With the mass prediction from the latest version ofWeizs\"{a}cker-Skyrme (WS4) model, the rms deviation of $\alpha$-decayhalf-lives with respect to the known data falls to $0.697$.

Systematic calculations of $\alpha$-decay half-lives with an improved empirical formula