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

TL;DR

This paper models charged-current quasielastic neutrino scattering on carbon-12 using the coherent density fluctuation model with effective mass modifications, including two-nucleon emission, to predict cross sections aligned with experimental data.

Contribution

It introduces a modified CDFM with effective mass and includes two-nucleon emission processes, providing improved predictions for neutrino scattering cross sections on $^{12}$C.

Findings

Predicted cross sections match experimental observations from MiniBooNE, T2K, and MINERvA.

Analyzed the axial form factor $C^A_5 (0)$ for $ riangle$ excitation at zero momentum transfer.

Evaluated quasielastic results across different momentum transfer regions.

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.