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 $m_N^{\ast }=0.8m_N$ (CDFM${}_{M^{\ast }}$). 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${}_{M^{\ast }}$, 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 $C_5^A(0)$) 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${}_{M^{\ast }}$ model are thoroughly evaluated for different regions of the momentum transfer.

14 pages, 7 figures

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