Residue cross sections of 50Ti-induced fusion reactions based on the two-step model
Abstract.50Ti-induced fusion reactions to synthesize superheavy elements are studied systematically with the two-step model developed recently, where fusion process is divided into approaching phase and formation phase. Furthermore, the residue cross sections for different neutron evaporation channels are evaluated with the statistical evaporation model. In general, the calculated cross sections are much smaller than that of 48Ca-induced fusion reactions, but the results are within the detection capability of experimental facilities nowadays. The maximum calculated residue cross section for producing superheavy element $ Z=119$ is in the reaction 50Ti + 247Bk in 3n channels with $ \sigma_{res}(3n)=0.043$ pb at $ E^{*}=37.0$ MeV.