Scaling and isospin effects in quasielastic lepton-nucleus scattering in the Relativistic Mean Field Approach

TL;DR

This paper investigates how isospin influences quasielastic lepton-nucleus scattering within the relativistic mean field framework, highlighting the effects of scalar and vector potentials on scaling functions for electron and neutrino reactions.

Contribution

It provides a detailed analysis of isospin effects and final-state interactions in quasielastic scattering using the relativistic mean field approach, explaining differences between electron and neutrino reactions.

Findings

Isospin significantly affects quasielastic scattering scaling functions.

Scalar and vector potentials alter the final-state interactions.

Differences between electron and neutrino reactions are explained by isoscalar and isovector contributions.

Abstract

The role of isospin in quasielastic electron scattering and charge-changing neutrino reactions is investigated in the relativistic impulse approximation. We analyze proton and neutron scaling functions making use of various theoretical descriptions for the final-state interactions, focusing on the effects introduced by the presence of strong scalar and vector terms in the relativistic mean field approach. An explanation for the differences observed in the scaling functions evaluated from $(e,e')$ and $(\nu,\mu)$ reactions is provided by invoking the differences in isoscalar and isovector contributions.