Neutrino nucleus cross sections

TL;DR

This paper models neutrino-nucleus interactions across quasielastic, inelastic, and deep inelastic scattering, incorporating nuclear medium effects to improve understanding of neutrino cross sections.

Contribution

It provides a comprehensive calculation of neutrino-nucleus cross sections including nuclear effects in various scattering regimes using a relativistic framework.

Findings

Nuclear effects significantly modify neutrino cross sections.

Inelastic pion production is affected by $\Delta$-resonance renormalization.

Deep inelastic structure functions are altered by nuclear medium modifications.

Abstract

We present the results of our calculation which has been performed to study the nuclear effects in the quasielastic, inelastic and deep inelastic scattering of neutrinos(antineutrinos) from nuclear targets. These calculations are done in the local density approximation. We take into account the effect of Pauli blocking, Fermi motion, Coulomb effect, renormalization of weak transition strengths in the nuclear medium in the case of the quasielastic reaction. The inelastic reaction leading to production of pions is calculated in a $\Delta $- dominance model taking into account the renormalization of $\Delta$ properties in the nuclear medium and the final state interaction effects of the outgoing pions with the residual nucleus. We discuss the nuclear effects in the $F_{3}^{A}(x)$ structure function in the deep inelastic neutrino(antineutrino) reaction using a relativistic framework to describe the nucleon spectral function in the nucleus.