Hot fusion of fission fragments for the synthesis of doubly magic nucleus $${}_{126}^{310} X^{184}$$126310X184

Abstract

The suitable fission fragments have been predicted to synthesize a doubly magic superheavy element $${}_{126}^{310} X^{184}$$126310X184 in the fusion of the fission fragments. This has been done within the framework of fragmentation theory which states that the fragment combinations at/near the minima of various η-regions of the fragmentation potentials are more probable to produce a cool compound nucleus than the combinations away from it. The fragmentation potentials have been calculated for the hot and cold optimized orientations. The binding energies/mass excess used in the fragmentation potentials have been calculated by using the semi-empirical mass formula of Davidson et al. and the bulk and asymmetry constants of it have been readjusted to reproduce the ground state mass excess of AME2016 and FRDM (2012) data. The suitability of the fission fragments at and around various minima of the fragmentation potentials is tested further by comparing the formation yields and the fission barriers.