<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math>-decay half-lives for even-even isotopes of W to U
Yong-Beom Choi, Chang‐Hwan Lee, Myeong-Hwan Mun, Soon-Chul Choi, Youngman Kim
Abstract
We investigate $\ensuremath{\alpha}$-decay half-lives for 74 $\ensuremath{\le}$ Z $\ensuremath{\le}$ 92 even-even nuclei within the semiclassical WKB approximation in deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc). The $\ensuremath{\alpha}$-particle preformation factors are estimated from cluster-formation model using both empirical AME2020 binding energies and numerical ones obtained by a deep neural network (DNN) study in which the available DRHBc binding energies are used as training set. We find that our estimated $\ensuremath{\alpha}$-decay half-lives are qualitatively in agreement with experimental results. We also compare our results with the empirical formulas, ZZCW and UNIV. Based on these observation, we extend our predictions of $\ensuremath{\alpha}$-decay half-lives for the isotopes whose experimental data are not available.