Decay characteristics of experimentally synthesized isotopes of superheavy elements

We made an extensive study of the decay characteristics of 39 experimentally synthesized isotopes of superheavy elements using the Coulomb and Proximity Potential Model (CPPM). Alpha decay half-lives are calculated using the CPPM, Universal Decay Law (UDL) (Phys Rev Lett 103(7):072501, 2009), the Horoi formula (J. Phys G: Nucl. Part. Phys. 30(7):945, 2004), Modified Balasubramaniam Formula (MBF) (Braz. J. Phys. 54(2):3, 2024) and compared with the experimental values. The spontaneous fission half-lives are determined using the formula of Xu et al. (Phy.s Rev. C 78:044329, 2008). Further, we have considered 3040 possible cluster and daughter combinations, and decay half-lives are determined in each case. From the study, we could identify 566 daughter-cluster combinations with decay half-lives less than the experimental upper limit of 10³⁰ s. We suggest 76 most probable cluster emissions from 39 isotopes with decay half-lives less than 10²² s, which are ⁸Be, ^12,13,14C, ¹⁵N, and ^30,32Si. The results are then compared with the cluster decay half-lives calculated using the Universal Decay Law (UDL) and Horoi formula; the two most successful empirical formulae and also with the Modified Balasubramaniam Formula (MBF). Even though spontaneous fission and alpha decay are the dominant decay modes in the superheavy elements, many of them are possible candidates for cluster emission.