Competition between alpha and heavy cluster decay in superheavy element

Systematic study of super heavy nuclei ²⁹⁶Og and its possibilities to emit alpha particle and heavier clusters are studied using Modified Generalized Liquid Drop Model (MGLDM) with Q value dependent preformation factor. Half-lives and branching ratio of all possible cluster emission of ²⁹⁶Og is checked and only those cluster which are within the experimental half-lives limit (less than 10³⁰s) and branching ratio limit (down to 10^-19) are considered. Among this, ⁸⁸Kr is found to be the most probable heavy cluster emitted, leading to doubly magic ²⁰⁸Pb daughter nuclei, with half-lives comparable with alpha decay half-lives. Thus the role of doubly magic daughter nuclei in cluster decay is highlighted here. Again the decay modes of ²⁹⁶Og are also studied by comparing alpha decay half-lives using MGLDM with spontaneous fission half-lives proposed by Bao et al. And from this, it is found that for superheavy element ²⁹⁶Og, decays by 3 alpha chains followed by spontaneous fission. We hope that this study and prediction would help in near future when this emission is experimentally detected in near future. (author)