# Superscaling analysis of quasielastic electron scattering with relativistic effective mass

## TL;DR

This paper introduces a new superscaling approach (SuSAM*) for quasielastic electron scattering, utilizing a relativistic effective mass and a phenomenological scaling function to accurately predict cross sections within an uncertainty band.

## Contribution

It develops a novel superscaling method incorporating relativistic effective mass, improving predictions of quasielastic electron scattering data.

## Key findings

- The model reproduces the enhancement of the transverse response function.
- It provides a parametrization of the scaling function based on experimental data.
- The approach offers predictions with quantified uncertainties.

## Abstract

We provide a parametrization of a new phenomenological scaling function obtained from a chi-square fit to a selected set of (e,e') cross section data expanding a band centered around the quasielastic peak. We start from a re-analysis of quasielastic electron scattering from nuclear matter within the relativistic mean field model. The cross section depends on the relativistic effective mass of the nucleon, $m_N^*$, and it scales with respect to a new scaling variable, $\psi^*$. This suggests a new superscaling approach with effective mass (SuSAM*) for predicting quasielastic cross sections within an uncertainty band. The model reproduces previously established results on the enhancement of the transverse response function as compared to the traditional relativistic Fermi gas.