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Analytic expressions for alpha-decay half-lives and potential barriers

Abstract : From an adjustment on a recent selected data set of partial $\alpha$-decay half-lives of 344 ground state to ground state transitions, analytical formulas are proposed for $log_{10}T_{1/2}(s)$ depending or not on the angular momentum of the $\alpha$ particle. In particular, an expression allows to reproduce precisely the partial $\alpha$-decay half-lives of even-even heavy nuclei and, then, to predict accurately the partial $\alpha$-decay half-lives of other very heavy elements from the experimental or predicted $Q_\alpha$. Comparisons have been done with other empirical approaches. Moreover, the potential barrier against $\alpha$-decay or $\alpha$-capture has been determined within a liquid drop model including a proximity energy term. Simple expressions are provided to calculate the potential barrier radius and height.
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G. Royer. Analytic expressions for alpha-decay half-lives and potential barriers. Nuclear Physics A, Elsevier, 2010, 848, pp.279-291. ⟨10.1016/j.nuclphysa.2010.09.009⟩. ⟨in2p3-00537817⟩

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