Comparison of Nuclear Response Functions for Neutrino-induced Reactions via Neutral and Charged Currents

Abstract

A Comparison of nuclear weak-response functions for neutrino-induced reactions via a neutral current (NC) and a charged current (CC) was done for a ^{12}C target. We used the neutrino cross-section data ^{12}C(\nu_e, \nu_e^{'})^{12}C^{*} (1^+) obtained at KARMEN and ^{12}C(\nu_e, e^{'})^{12}N^{*} (1^+) from the LSND experiments. Because neutrinos are very elusive particles to detect, experiments on the neutrino reaction or scattering are very challenging tasks, even in the CC reaction. The motivation for this study is to study whether or not one may estimate the neutrino-induced reaction by using the weak-response functions that are extracted from other nuclear reactions without using neutrino facilities. As a preliminary study for that purpose, in this work, we investigate each contribution of the weak-response functions to the total cross sections of the neutrino-induced reactions via a NC and a CC on a ^{12}C target.