Physics Open (Dec 2023)

Improved semi-empirical formulae for Beta-decay

  • Reddi Rani L.,
  • H.S. Anushree,
  • H.C. Manjunatha,
  • N. Sowmya,
  • L. Seenappa,
  • K.N. Sridhar,
  • P.S. Damodhara Gupta

Journal volume & issue
Vol. 17
p. 100187

Abstract

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We attempted to improve semi-empirical equations for β−-decay in the atomic number range 1≤Z≤42 and mass number range 3≤A≤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 β−-decay. This study discovers a significance in predicting β−-decay.

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