Based on the empirical coupled-channel (ECC) model for calculating capture cross section and the statistical model for calculating survival probability, we adopt the dinuclear system (DNS) model for a systematic investigation of the evaporation-residue (ER) cross sections of the reactions leading to superheavy nuclei (SHN). The theoretical results can systematically reproduce the experimental data of the hot-fusion reactions with ${}^{48}\mathrm{Ca}$ as the projectile. Simultaneously, the ER cross sections of superheavy elements (SHEs) 112–120 from ${}^{50}\mathrm{Ti}$-induced fusion reactions are systematically investigated. The calculated ER cross sections for the reactions ${}^{50}\mathrm{Ti} +{}^{246,247,248,249}\mathrm{Bk}$ and ${}^{249,250,251,252}\mathrm{Cf}$ to produce the SHN with $Z=$ 119 and 120 are given. It is found that the projectile-target combinations ${}^{50}\mathrm{Ti}+{}^{249}\mathrm{Bk}$ and ${}^{50}\mathrm{Ti}+{}^{251}\mathrm{Cf}$ are considered as the most promising reactions with ${}^{50}\mathrm{Ti}$ as projectile for the syntheses of the next two SHEs beyond Og. The maximal ER cross section for ${}^{50}\mathrm{Ti}+{}^{249}\mathrm{Bk}$ is 79.6 fb at the incident energy $E_{\mathrm{c}.\mathrm{m}.}=229.5$ MeV. For ${}^{50}\mathrm{Ti}+{}^{251}\mathrm{Cf}$, the maximal ER cross sections are about 17.5 fb at the incident energies around $E_{\mathrm{c}.\mathrm{m}.}=235$ MeV.

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• Low & intermediate energy heavy-ion reactions
• Models & methods for nuclear reactions
• Synthesis of new superheavy elements