Investigation of heavy particle radioactivity and spontaneous fission of even-<i>Z</i> superheavy nuclei*

Abstract The preformed cluster model (PCM) is applied to investigate the heavy particle radioactivity (HPR) and spontaneous fission (SF) processes for even- Z superheavy nuclear systems. Different proximity potentials are used to calculate the decay half-lives of nuclei. The fragmentation potential and preformation distribution suggest that SF is the major contributor up to , and HPR starts competing for heavier nuclei. The heavy cluster emission is supported by Pb-magicity, whereas SF is reinforced owing to the deformations of fission fragments. The heavy cluster decay half-lives (log T C ) are calculated using the PCM and are compared with the estimates of the analytical super asymmetric fission (ASAF) model. The calculated log T C values agree well with the ASAF measurements when using the Prox-00 and Mod Prox-00 versions of potentials. However, Prox-77, Prox-88, and Prox-BW-91 are not appropriate to address the log T C for nuclei. To resolve this, we include Z -dependence in the radius parameters. Interestingly, the half-lives match the ASAF data after the inclusion of Z -dependence. The branching ratios are also calculated for superheavy nuclei and compared with the estimates of unified description (UD) formula, universal curve (UNIV), universal decay law (UDL), Horoi formula, and ASAF measurements. Furthermore, the SF half-lives ( ) of Cn, Cn, Fl, and Fl superheavy nuclei are estimated through various proximity potentials. Among them, Prox-00 is appropriate for addressing the experimental data. Using this potential, the SF half-lives are estimated through the PCM for isotopes at different neck-length parameters. Finally, the scaled total kinetic energy (TKE) values are compared with the available data.