The production of ${}^{270,272-279}\mathrm{Sg}$ in multinucleon transfer reactions induced by radioactive beams ${}^{132}\mathrm{Sn}, {}^{134}\mathrm{Te}$, and ${}^{206}\mathrm{Hg}$ on an actinide target of ${}^{252}\mathrm{Cf}$ is investigated using the dinuclear system model incorporated with $\mathrm{GEMINI}++$ code. The isotopic distributions for $Z=97–100$ in the ${}^{48}\mathrm{Ca}+{}^{248}\mathrm{Cm}, {}^{86}\mathrm{Kr}+{}^{248}\mathrm{Cm}$, and ${}^{136}\mathrm{Xe}+{}^{248}\mathrm{Cm}$ reactions, as well as the angular distribution of total fragments for the ${}^{136}\mathrm{Xe}+{}^{209}\mathrm{Bi}$ reaction, are calculated and compared with available experimental data. Compared to other systems, the ${}^{206}\mathrm{Hg}+{}^{252}\mathrm{Cf}$ reaction at $E_{\text{c.m.}}=748$ MeV is the most optimal system for obtaining large production cross sections of Sg isotopes. Nine unknown isotopes of ${}^{270,272-279}\mathrm{Sg}$ are predicted, with the corresponding production cross sections of $20.860\mu \mathrm{b}, 0.623\mu \mathrm{b}$, 135.514 nb, 24.172 nb, 2.254 nb, 538.796 pb, 164.210 pb, 110.742 pb, and 62.276 pb, respectively. A large number of nucleon transfers occurred extensively within the angular-momentum range of $L\le 100\hslash$ and the interaction time range of ${\tau }_{\mathrm{int}}>5\times {10}^{-22}\mathrm{s}$ in the ${}^{206}\mathrm{Hg}+{}^{252}\mathrm{Cf}$ reaction. The predicted angular distribution of the ${}^{270,272-279}\mathrm{Sg}$ isotopes peaks at an angle of approximately ${40}^{\circ }$.

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• Low & intermediate energy heavy-ion reactions
• Models & methods for nuclear reactions
• Nuclear reactions
• Synthesis of new superheavy elements
• Transfer reactions
• A ≥ 220