# Neutrino-nucleus cross-sections at supernova neutrino energies

## TL;DR

This paper calculates neutrino-nucleus interaction cross-sections at supernova neutrino energies for various nuclei, incorporating nuclear medium effects and Coulomb distortion, providing flux-averaged results and distributions relevant for supernova neutrino detection.

## Contribution

It presents detailed cross-section calculations including nuclear medium effects and Coulomb distortion for multiple nuclei at supernova neutrino energies, with flux-averaged results and distributions.

## Key findings

- Cross-sections depend on neutrino energy and nuclear target.
- Flux-averaged cross-sections and event rates are provided.
- Angular and energy distributions of charged leptons are analyzed.

## Abstract

The inclusive neutrino/antineutrino-induced charged and neutral current reaction cross-sections in $^{12}C$, $^{16}O$, $^{40}Ar$, $^{56}Fe$ and $^{208}Pb$ in the energy region of supernova neutrinos/antineutrinos are studied. The calculations are performed in the local density approximation (LDA) taking into account the effects due to Pauli blocking, Fermi motion and the renormalization of weak transition strengths in the nuclear medium. The effect of Coulomb distortion of the lepton produced in the charged current reactions has also been included. The numerical results for the energy dependence of the cross-section $\sigma(E)$ as well as the flux averaged cross-section and event rates for the charged lepton production in the case of some supernova neutrino/antineutrino fluxes recently discussed in the literature have been presented. We have also given the flux-averaged angular and energy distributions of the charged leptons corresponding to these fluxes.