Gross Theory Model for Neutrino-Nucleus Cross Section

TL;DR

This paper applies the nuclear gross theory to neutrino-nucleus reactions, improving the energetic description of Gamow-Teller resonances and fitting parameters with recent experimental data, with implications for astrophysics.

Contribution

It extends the nuclear gross theory to neutrino interactions, providing a more realistic energetics model and parameter fitting based on recent experimental data.

Findings

Neutrino-nucleus cross sections agree with microscopic model evaluations.

Model parameters are gauged from recent beta decay and electron-capture data.

Formalism can be extended to heavy nuclei relevant in astrophysics.

Abstract

The nuclear gross theory, originally formulated by Takahashi and Yamada for the $\beta$-decays, is applied for the electronic-neutrino nucleus reactions, employing a more realistic description to the energetics of the Gamow-Teller resonances. The model parameters are gauged from the most recent experimental data, both for $\beta^-$ decay and electron-capture, separately for even-even, even-odd, odd-odd, odd-even nuclei. The numerical estimates for neutrino-nucleus cross sections agree fairly well with previous evaluations done within the framework of microscopic models. The formalism presented here can be extended to the heavy nuclei mass region, where weak processes are quite relevant, which is of astrophysical interest because of its applications in supernova explosive nucleosynthesis.