A global study ofα-clusters decay in heavy and superheavy nucleiwith half-life and preformation factor

A detailed study of alpha-clusters decay is exhibited by incorporating crucial microscopic nuclear structure information into the estimations of half-life and preformation factor. For the first time, using the k-cross validation approach, two semi-empirical formulas for (1)alpha-decay half-life and (2)alpha-particle preformation factor, are picked out and subsequently modified by including shell, odd-nucleon blocking, and asymmetry effects along with the usual dependence on alpha-decay energy (Q alpha) and angular momentum of alpha-particle. Both the formulas are fitted for the two different regions separated by neutron number N=126, as from the experimental systematics the role of N=126 shell closure is found decisive in determining the trends of Q alpha,alpha-decay half-life, and alpha-particle preformation factor. It is found that the in clusion of the above-mentioned degrees of freedom significantly reduces the errors in the estimations when compared with several other similar modified/refitted semi-empirical relations indicating the robustness of the proposed formulas. The predictions of alpha-decay half-life throughout the periodic chart have been made including the unknown territory, future probable decay chain of self-conjugate nucleus112Ba terminated on100Sn, decay chain of Pa-208 through new isotope204Ac as well as decay chains of awaiting super heavy nuclei298Og and299120. This article is expected to provide a systematic approach to selecting the formula by which reliable predictions can be made