Comparative studies of the alpha decay half-lives of 197–220 Fr isotopes using the modified Gamow-like model and other empirical formulas

Abstract

Alpha decay is an important decay mode that provides information about the structure and stability of heavy and superheavy nuclei. In this study, Gamow-like model (GLM), modified Gamow-like model (MGLM1), and four empirical formulas were employed to study the alpha decay half-lives of ^197–220 Fr isotopes. The results obtained were compared with available experimental data and other theoretical calculations. The four empirical formulas used in the study are the Akrawy, new Ren B, AKRE, and Horoi formulas. Among the empirical formulas, the results of the calculations suggest that the new Ren B formula is the most suitable for the calculation of alpha-decay half-lives of the Fr isotopes. Calculated standard deviations showed that the MGLM1 gave a better description of the half-lives than the GLM model. New parameter values were obtained for the ^197–220 Fr isotopes using the modified Gamow-like model (termed MGLM2). The MGLM2 model gave a lower deviation from experimental values when compared with the previous theoretical calculations using the temperature-dependent proximity potential model.