Inclusive Neutrino and Antineutrino Scattering on the 12C Nucleus Within the Coherent Density Fluctuation Model

We investigate quasielastic (anti)neutrino scattering on the 12C nucleus utilizing a novel scaling variable, ψ*. This variable is derived from the interacting relativistic Fermi gas model, which incorporates both scalar and vector interactions, leading to a relativistic effective mass for the interacting nucleons. For inclusive lepton scattering from nuclei, we develop a new scaling function, denoted as fQE(ψ*), based on the coherent density fluctuation model (CDFM). This model serves as a natural extension of the relativistic Fermi gas (RFG) model applicable to finite nuclei. In this study, we compute theoretical predictions and compare them with experimental data from Minerνa and T2K for inclusive (anti)neutrino cross-sections. The scaling function is derived within the CDFM framework, employing a relativistic effective mass of mN*=0.8mN. The findings demonstrate a high degree of consistency with experimental data across all (anti)neutrino energy ranges.