Radioactive decay of Og288−296 via heavy cluster emission within a modified generalized liquid drop model with a Q -value-dependent preformation factor

Abstract

A systematic study on radioactive decay of various isotopes of superheavy element oganesson $(Z=118)$ with mass numbers varying from 288 to 296 via heavy cluster emission is considered. The half-life of an emitted cluster is computed using the modified generalized liquid drop model with the Q value dependent preformation factor, for all possible splitting of each Og isotope. The heavy clusters with half-lives comparable to or less than the alpha half-life are probable for emission. From calculations, it is evident that for each Og isotope, the cluster emission with half-life comparable to alpha decay are indium and cadmium, which have nearly a proton magic number $(Z=50)$ and also the cluster emission with minimum half-lives among all splitting are $^{136}\mathrm{Xe}$ and $^{138}\mathrm{Ba}$, both having a magic neutron number $N=82$. The role of the magic number in the stability of heavy cluster decay is evident. Modes of decay of each isotope of Og is identified by comparing ${T}_{1/2}^{\ensuremath{\alpha}}$ values with corresponding ${T}_{1/2}^{\mathrm{SF}}$ values computed using the new mass inertia $({I}_{\mathrm{rigid}})$ dependent formula. The experimental alpha decay half-life of $^{294}\mathrm{Og}$ is 0.89 ms and the theoretically predicted value using our model is 0.395 ms. We were able to reproduce experimental alpha decay half-lives and decay modes in the case of $^{294}\mathrm{Og}$, thereby proving the reliability of our model, hence we believe that the predictions made in the case of other isotopes of Og would serve as a guiding tool for future studies in this field.