Asymmetric Relativistic Fermi Gas model for quasielastic lepton-nucleus scattering

TL;DR

This paper introduces an asymmetric relativistic Fermi gas model that accounts for neutron-proton asymmetries and separation energy differences, improving the description of quasielastic lepton-nucleus scattering relevant for neutrino experiments.

Contribution

The model extends the traditional symmetric Fermi gas approach by incorporating nuclear asymmetries and energy differences, providing more accurate predictions for electroweak responses.

Findings

Numerical results for neutral and charged current processes.

Identification of key differences from symmetric Fermi gas models.

Relevance for neutrino oscillation experiments.

Abstract

We develop an asymmetric relativistic Fermi gas model for the study of the electroweak nuclear response in the quasielastic region. The model takes into account the differences between neutron and proton densities in asymmetric (N > Z) nuclei, as well as differences in the neutron and proton separation energies. We present numerical results for both neutral and charged current processes, focusing on nuclei of interest for ongoing and future neutrino oscillation experiments. We point out some important differences with respect to the commonly employed symmetric Fermi gas model.