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

Abstract

Based on the recent data in NUBASE2012, an improved empirical formula for evaluating the $\alpha$-decay half-lives is presented, in which the hindrance effect resulted from the change of the ground state spins and parities of parent and daughter nuclei is included, together with a new correction factor for nuclei near the shell closures. The calculated $\alpha$-decay half-lives are found to be in better agreements with the experimental data, and the corresponding root-mean-square (rms) deviation is reduced to $0.433$ when the experimental $Q$-values are employed. Furthermore, the $Q$-values derived from different nuclear mass models are used to predict $\alpha$-decay half-lives with this improved formula. It is found that the calculated half-lives are very sensitive to the $Q$-values. Remarkably, when mass predictions are improved with the radial basis function (RBF), the resulting rms deviations can be significantly reduced. With the mass prediction from the latest version of Weizsäcker-Skyrme (WS4) model, the rms deviation of $\alpha$-decay half-lives with respect to the known data falls to $0.697$.

arXiv comment7 pages, 3 figures and 3 tables, submitted to Journal of Physics G: Nuclear and Particle

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Cited by in corpus (5)

• Systematic study of $\alpha$ decay half-lives for even-even nuclei within a two-potential approach
• A new empirical formula for α-decay half-life and decay chains of Z=120 isotopes
• Systematic study of $\alpha$ decay half-lives based on Gamow--like model with a screened electrostatic barrier
• Alpha-decay energies of superheavy nuclei for the Fayans functional
• Theoretical study on favored alpha-decay half-lives of deformed nuclei