The quasielastic cross sections of charged-current neutrino and antineutrino scattering on ${}^{12}\mathrm{C}$ are calculated using the coherent density fluctuation model with a relativistic effective mass $m_N^{*}=0.8m_N$ $\left({\mathrm{CDFM}}_{M^{*}}\right)$. The model explicitly considers the modification of the relativistic effective mass of the nucleon within the relativistic mean-field (RMF) model of nuclear matter. In addition, our calculations include neutrino-induced two-particle emission processes, which are evaluated within the RMF model of nuclear matter. Utilizing the ${\mathrm{CDFM}}_{M^{*}}$, we provide predictions for the neutrino and antineutrino cross sections of ${}^{12}\mathrm{C}$, which have been observed in accelerator experiments, such as MiniBooNE, T2K, and MINERvA. Also, we analyze the axial form-factor value for the excitation of the $\mathrm{\Delta }$ at zero momentum transfer [commonly denoted as $C_5^A\left(0\right)$] which is important for the treatment of the $\mathrm{\Delta }$ current in the meson-exchange currents (MEC) calculation. In addition, the quasielastic results obtained within ${\mathrm{CDFM}}_{M^{*}}$ model are thoroughly evaluated for different regions of the momentum transfer.

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• Electroweak interactions in nuclear physics
• Lepton induced nuclear reactions
• Models & methods for nuclear reactions
• Nucleus-neutrino interactions
• 6 ≤ A ≤ 19