Neutral Current $\nu$ Induced Reactions in Nuclei at Supernova Neutrino Energies

TL;DR

This paper calculates neutrino-induced reaction cross sections on lead nuclei at supernova neutrino energies, incorporating nuclear medium effects, to estimate supernova neutrino detection rates.

Contribution

It provides detailed cross section calculations for neutrino reactions on lead, including nuclear medium effects, to improve supernova neutrino detection predictions.

Findings

Calculated total cross sections for neutrino/antineutrino reactions on lead

Averaged cross sections over supernova neutrino flux models

Enhanced understanding of supernova neutrino detection in lead-based detectors

Abstract

We calculate cross sections for the neutral current induced neutrino/antineutrino reaction from $^{208}Pb$ target and applied it to study Supernova neutrino event rates. The calculations are done in local density approximation taking into account Pauli blocking, Fermi motion effects and renormalization of weak transition strengths in the nuclear medium. The numerical results for the neutrino nucleus total cross sections have been averaged over the various Supernova neutrino/antineutrino fluxes available in literature.