Theoretical investigation of heavy cluster decay from Z=118 and 120 isotopes: A search for an empirical formula in superheavy region

Various decay modes in superheavy nuclei have been of significant interest among which cluster radioactivity has recently gained sizable attention. The -decay being a predominant decay mode in the superheavy region, the accurate determination of cluster decay half-lives is also crucial in this region as it has tremendous potential to be explored as one of the major decay channels. The usability of the Royer analytical formula Nuclear Physics A 683 (2001) 182, which is based on the asymmetric fission model, has been investigated for the cluster and decay in superheavy region, by comparing it with several other (semi) empirical/analytical formulas. After fitting the formula on around 100 cluster-decay data and around 423 -decay data, the refitted Royer formula (RRF) is found to be very robust which is able to estimate the cluster decay and -decay half-lives with good accuracy. In fact, a comparison of the half-lives of both the decay modes using the same formula points towards a substantial chance of heavy cluster (Kr and Sr) decay from various isotopes of Z=118 and 120. Hence, the formula proposed in this study works fairly well for the estimation of cluster decay half-lives in superheavy regions where most empirical formulas fail to match with the half-lives from the various established theories.