Detection of supernovae neutrinos with neutrino-iron scattering

TL;DR

This paper evaluates the neutrino-iron scattering cross section using the PQRPA model, providing improved theoretical predictions that align well with experimental data and estimating supernova neutrino detection rates.

Contribution

It introduces the PQRPA model for neutrino-iron scattering, addressing previous limitations and enhancing the accuracy of supernova neutrino detection predictions.

Findings

Good agreement between calculated and experimental cross sections.

Estimated supernova neutrino detection rates for LVD detector.

Upper limit for electron neutrino energy in supernova detection.

Abstract

The $\nu_e-^{56}$Fe cross section is evaluated in the projected quasiparticle random phase approximation (PQRPA). This model solves the puzzle observed in RPA for nuclei with mass around $^{12}$C, because it is the only RPA model that treats the Pauli principle correctly. The cross sections as a function of the incident neutrino energy are compared with recent theoretical calculations of similar models. The average cross section weighted with the flux spectrum yields a good agreement with the experimental data. The expected number of events in the detection of supernova neutrinos is calculated for the LVD detector leading to an upper limit for the electron neutrino energy of particular importance in this experiment