Predictions of the alpha-decay half-lives of even–even superheavy nuclei using modified Gamow-like model
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Date
2022-04-14
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Abstract
<jats:title>Abstract</jats:title>
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<jats:italic>α</jats:italic>-decay half-lives of superheavy nuclei have been studied using modified Gamow-like model and improved empirical formulas. The empirical formulas used in the study are Viola-Seaborg semi-empirical formula, universal decay law (UDL), Denisov-Khudenko formula (DK), Royer formula, Wang formula, AKRE formula, and new Ren B (NRB) formula. New values of the adjustable parameters in the modified Gamow-like model have been obtained using a least square fit scheme and input data from the NUBASE2020 database. We found that only two adjustable parameters are sufficient to describe the <jats:italic>α</jats:italic>-decay half-lives of heavy and superheavy nuclei. We also obtained new coefficients for the seven empirical formulas using similar procedure. The modified Gamow-like model (MGLM) and improved empirical formulas are then used to calculate the <jats:italic>α</jats:italic>-decay half-lives of measured superheavy nuclei with <jats:italic>Z</jats:italic> = 100–118. The calculated root mean square errors indicate that the Royer, DK, and AKRE formulas are the best three empirical formulas for evaluating the <jats:italic>α</jats:italic>-decay half-lives of the superheavy nuclei. The five best performing empirical formulas, together with the MGLM, are then used to predict alpha-decay half-lives of unmeasured even–even superheavy nuclei with <jats:italic>Z</jats:italic> = 120–126. The <jats:italic>Q</jats:italic>
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<jats:italic>α</jats:italic>
</jats:sub> values used for the predictions have been taken from the tabulated Weizs <jats:inline-formula>
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</jats:inline-formula> cker-Skyrme-4 + RBF (WS4 + RBF) <jats:italic>Q</jats:italic>
<jats:sub>
<jats:italic>α</jats:italic>
</jats:sub> values. The theoretical calculations suggest that <jats:italic>N</jats:italic> = 184 is a possible magic number, which is in agreement with previous theoretical calculations.</jats:p>
Description
predict