An empirical formula for the half-lives of exotic two-proton emission

Abstract

An empirical formula is proposed for the two-proton decay half-lives. This study is an extension of the empirical formula reported recently by us for calculating the logarithmic half-lives of one-proton emitters. A similar four-parameter formula as a function of angular momentum is proposed for the two-proton emitters. The parameters of the formula are fitted using the results of the effective liquid drop model (ELDM). The obtained formula is found to agree fairly well with the known experimental values of the half-lives as well as with other theoretical model predictions. Apart from the experimentally known 2-p emitters, the results using the formula are found to compare well within an order magnitude with the results of the ELDM. Further calculations are carried out in the heavy and superheavy region for the prediction of one and two-proton emitters.