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