Predictions for the synthesis of the Z=120 superheavy element

The possible stable and radioactive beam-induced hot fusion reactions for the production of new superheavy element (SHE) Z = 120 are investigated within the dinuclear system model. Our investigation shows that the reaction 45Sc+252Es has a relatively large evaporation residue cross-section (ERCS) for the synthesis of SHE Z = 120 due to its slightly larger mass asymmetry. In addition, we analyzed the effects of fission barrier and neutron separation energy of superheavy nuclei on ERCS. To synthesize the double-magic Z = 120 and N = 184 nucleus predicted by the relativistic mean-field model, some radioactive beam-induced fusion reactions, which can be performed in available experimental equipment, for producing superheavy nucleus 304120 in neutron evaporation channels are investigated systematically. We find that the hot fusion reaction 50Ca + 257Fm in the 3n evaporation channel is optimal for synthesizing the superheavy nucleus 304120. We hope these predictions will shed new light timely for the recent experiments on the synthesis of Z = 120 superheavy element and the search for superheavy stability islands.