Charged-current quasielastic-like neutrino scattering from C 12 in the coherent density fluctuation model with two-nucleon emission

The quasielastic cross-sections of charged-current neutrino and antineutrino scattering on ¹²C are calculated using the coherent density fluctuation model with a relativistic effective mass mN^* =0.8 mN (CDFMM^*). 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 CDFMM^*, we provide predictions for the neutrino and antineutrino cross sections of ¹²C, 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 $Δ$ at zero momentum transfer (commonly denoted as CA₅ (0)) which is important for the treatment of the $Δ$ current in the meson-exchange currents (MEC) calculation. In addition, the quasielastic results obtained within CDFMM^* model are thoroughly evaluated for different regions of the momentum transfer.