Residue cross sections of ⁵⁰Ti-induced fusion reactions based on the two-step model

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 σ_res(3n) = 0.043 pb at E* = 37.0 MeV. (orig.)