Improved semi-empirical formulae for Beta-decay

Abstract

We attempted to improve semi-empirical equations for ${\beta }^{-}$-decay in the atomic number range $1\le Z\le 42$ and mass number range $3\le A\le 118$. We suggested a semi-empirical formula in terms of an atomic number of daughter nuclei and decay energy in keV. We divided the nuclei into four categories: even(Z)-even(N), even(Z)-odd(N), odd(Z)-even(N), and odd(Z)-odd(N) to propose improved semi-empirical formulae. The existing equation values are compared to the experimental results. When compared to other semi-empirical equations accessible in the literature, the standard deviation produced from the current formula is lower. The improved semi-empirical formulas are of the first kind, requiring only an atomic number of daughter and decay energy during ${\beta }^{-}$-decay. This study discovers a significance in predicting ${\beta }^{-}$-decay.