Theoretical study on production of unknown neutron-deficient Fl280–283 and neutron-rich Fl290–292 isotopes by fusion reactions

Abstract

We attempt to calculate the production cross sections of unknown $^{280--283}\mathrm{Fl}$ and $^{290--292}\mathrm{Fl}$ isotopes by using hot fusion reaction mechanism within the dinuclear system model. The production of unknown neutron-deficient Fl isotopes ($^{280--283}\mathrm{Fl}$) is studied in the reactions $^{44}\mathrm{Ca}+^{242}\mathrm{Pu}$ and $^{36}\mathrm{S}+^{249}\mathrm{Cf}$ with the maximum evaporation residue cross sections values 0.91 pb, 6.17 pb, 36.16 pb, and 2.02 pb, respectively. The use of neutron-rich radioactive beams $^{44}\mathrm{Ar}$ and $^{46}\mathrm{Ar}$ may help us produce new neutron-rich Fl isotopes via fusion reaction mechanism only if an extremely high beam intensity were to be achieved in the future. The maximum production cross sections of unknown neutron-rich isotopes ($^{290--292}\mathrm{Fl}$) in the reactions $^{46}\mathrm{Ar}+^{248}\mathrm{Cm}$ and $^{46}\mathrm{Ar}+^{250}\mathrm{Cm}$ are predicted to be 4.06 pb, 8.55 pb, and 3.35 pb, respectively. At present, reaction with radioactive ion beams is not a promising method to produce neutron-rich superheavy nuclei and other reaction mechanisms such as transfer reaction need to be developed.