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

Abstract

The quasielastic cross-sections of charged-current neutrino and antineutrino scattering on $^{12}$C are calculated using the coherent density fluctuation model with a relativistic effective mass $m_N^* =0.8 m_N$ (CDFM$_{M^*}$). 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 CDFM$_{M^*}$, we provide predictions for the neutrino and antineutrino cross sections of $^{12}$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 $\Delta$ at zero momentum transfer (commonly denoted as $C^A_5 (0)$) which is important for the treatment of the $\Delta$ current in the meson-exchange currents (MEC) calculation. In addition, the quasielastic results obtained within CDFM$_{M^*}$ model are thoroughly evaluated for different regions of the momentum transfer.