# Nuclear effects in electron- and neutrino-nucleus scattering within a relativistic quantum mechanical framework

## TL;DR

This paper investigates how a relativistic quantum mechanical approach to nuclear effects influences electron- and neutrino-nucleus scattering cross sections, emphasizing the importance of accurate nuclear modeling for predictions.

## Contribution

It introduces a fully relativistic quantum mechanical framework using the mean-field model to analyze nuclear effects like Pauli blocking and nucleon distortion in scattering processes.

## Key findings

- Proper quantum treatment is essential for accurate cross section magnitude and shape.
- Correct modeling of nuclear effects is key to predicting neutrino flavor cross section ratios.
- The approach improves agreement with experimental data for scattering processes.

## Abstract

We study the impact of the description of the knockout nucleon wave function on electron- and neutrino-induced quasielastic and single-pion production cross sections. We work in a fully relativistic and quantum mechanical framework, where the relativistic mean-field model is used to describe the target nucleus. The focus is on Pauli blocking and the distortion of the final nucleon, these two nuclear effects are separated and analyzed in detail. We find that a proper quantum mechanical treatment of these effects is crucial to provide the correct magnitude and shape of the inclusive cross section. Also, this seems to be key to predict the right ratio of muon- to electron-neutrino cross sections at very forward scattering angles.