A semi-empirical model for alpha and cluster radioactivity

A new semi-empirical model is proposed for determining the half lives of radioactive nuclei exhibiting cluster radioactivity. The parameters of the formula are obtained by making a least-square fit to the available experimental cluster decay data. The calculated half-life time for cluster decay is compared with the corresponding experimental values and with the values proposed by earlier scaling laws and with those predicted by the Coulomb and proximity potential model. The semi-empirical formula is applied to alpha decay of parents with Z= 85-102 and is compared with experimental data and with other semi-empirical formula predictions. The predicted alpha and cluster decay half-life time values are found to be in good agreement with the experimental data. The calculated alpha decay half-life time is also compared with the values predicted by Viola-Seaborg-Sobiczewski and Horoi systematics.