Improved semi-empirical formulae for Beta-decay

• Published in: Physics open Vol. 17; p. 100187
• Main Authors: L., Reddi Rani, Anushree, H.S., Manjunatha, H.C., Sowmya, N., Seenappa, L., Sridhar, K.N., Gupta, P.S. Damodhara
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2023; Elsevier
• Subjects: Beta-decay; Electron capture; Geiger Nuttall law; Mass excess values; Q-values; Electron capture; Geiger Nuttall law; Beta-decay; Q-values; Mass excess values
• ISSN: 2666-0326; 2666-0326
• DOI: 10.1016/j.physo.2023.100187

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.