Possibility of reaching the predicted center of the “island of stability” via the radioactive beam-induced fusion reactions

Based on the dinuclear system model, the synthesis of the predicted double-magic nuclei \({^{298}\hbox {Fl}}\) and \({^{304}\hbox {120}}\) was investigated via neutron-rich radioactive beam-induced fusion reactions. The reaction \({^{58}\hbox {Ca}}+{^{244}\hbox {Pu}}\) is predicted to be favorable for producing \({^{298}\hbox {Fl}}\) with a maximal ER cross section of \({0.301}\,\hbox {pb}\). Investigations of the entrance channel effect reveal that the \({^{244}\hbox {Pu}}\) target is more promising for synthesizing \({^{298}\hbox {Fl}}\) than the neutron-rich targets \({^{248}\hbox {Cm}}\) and \({^{249}\hbox {Bk}}\), because of the influence of the Coulomb barrier. For the synthesis of \({^{304}\hbox {120}}\), the maximal ER cross section of \({0.046}\,\hbox {fb}\) emerges in the reaction \({^{58}\hbox {V}}+{^{249}\hbox {Bk}}\), indicating the need for further advancements in both experimental facilities and reaction mechanisms.