Probable chances of radioactive decays from superheavy nuclei 120290–304 within a modified generalized liquid drop model with a Q -value-dependent preformation factor

Abstract

All possible chances of heavy-cluster emissions are predicted for even-even isotopes of $^{290--304}120$ using the modified generalized liquid drop model with a Q-value-dependent preformation factor. We have considered only those cluster emissions with half-life below the measurable limits. We have also estimated the probable heavy cluster emitted from each isotope of $^{290--304}120$ with half-life comparable to $\ensuremath{\alpha}$-decay half-life and the most probable cluster emission with the least half-life among all cluster-daughter combinations possible, and the predicted decays have either magic number of protons or neutrons or near to it. The highest and second highest $\ensuremath{\alpha}$-decay half-life from $^{290--304}120$ corresponds to $^{298}120$ and $^{304}120$, both isotopes with magic or semimagic numbers. Thus, the role of the magic number in stability is highlighted through our paper. The predicted $\ensuremath{\alpha}$ half-lives are compared with other theoretical models and are in agreement. For the first time we explore the possibility of $2\ensuremath{\alpha}$ decay from the superheavy (SH) nuclei. The agreement in theoretical $\ensuremath{\alpha}$-decay half-lives with experimental values for the isotopes in the decay chains of $Z=120$ shows the predictability of the model in the SH region, and so we predict the isotopes $^{290,292}120$ decays by $6\ensuremath{\alpha}$-decay chains and even-even isotopes $^{294--304}120$ decays by $4\ensuremath{\alpha}$-decay chains. Our predictions become particularly important as the predicted half-lives are within experimentally measurable limits and can be detected in the near future.