Inelastic neutrino-nucleus scattering off $^{203/205}$Tl in terms of the nuclear recoil energy using a hybrid nuclear model

TL;DR

This paper introduces a hybrid nuclear model combining shell and quasiparticle-phonon models to accurately compute inelastic neutrino-nucleus scattering cross sections for thallium isotopes, considering nuclear recoil effects and neutrino sources.

Contribution

The paper presents a novel hybrid nuclear model that improves the accuracy of neutrino-nucleus scattering predictions over previous shell model approaches.

Findings

Hybrid model yields more accurate cross sections at higher neutrino energies.

Predicted event rates for neutrinos from pion decay and supernova background.

Enhanced agreement with experimental data for solar neutrino rates.

Abstract

Nuclear structure calculations in the context of a novel hybrid nuclear model, combining the nuclear shell model and the microscopic quasiparticle-phonon model are presented. The predictivity of the hybrid model is tested by computing inelastic neutral-current neutrino-nucleus scattering cross sections off the stable thallium isotopes. The cross sections are presented in terms of the incoming neutrino energy, taking also into account the effect of nuclear recoil energy. Also reported are the expected event rates assuming neutrinos emerging from pion-decay at rest and the diffuse supernova neutrino background. Regarding solar neutrino rates, new results are presented in the context of the hybrid model and compared with previously reported results based solely on nuclear shell model calculations, demonstrating the improved accuracy of the adopted hybrid model at higher neutrino energies.