The low energy inclusive $\nu_{\mu} (\nu_{e})-^{12}$C scattering revisited

TL;DR

This paper reviews the current understanding of low-energy inclusive neutrino scattering on carbon-12, highlighting discrepancies between models and experiments and emphasizing the need for improved nuclear medium effect theories.

Contribution

It provides a comprehensive review of experimental data and theoretical models for low-energy neutrino-12C scattering, identifying gaps and suggesting directions for future research.

Findings

Existing models inadequately explain experimental results.

Recent KDAR neutrino experiments provide new data.

Nuclear medium effects beyond impulse approximation are needed.

Abstract

We have reviewed the current status of the inclusive neutrino scattering from $^{12}$C in the low energy region corresponding to the neutrino beams from the pion, muon and kaon decaying at rest. The theoretical calculations of total cross sections in various nuclear models with special emphasis on the recent experiments with the monoenergetic neutrinos from KDAR [1] along with the older experiments from KARMEN and LSND collaborations have been discussed in the context of the recent works by Akbar et al. [2] and Nikolakopoulos et al. [3]. The inadequacy of the various theoretical models used to explain the experimental results on the inclusive neutrino scattering from nuclei at low energies has been highlighted and the need for a better understanding of the nuclear medium effects beyond the impulse approximation has been emphasized.