Analysis of quasielastic $(e,e')$ electromagnetic responses and scaling for nuclear matter in the relativistic mean field model

TL;DR

This paper investigates quasielastic electron scattering responses in nuclear matter using a relativistic mean field model, analyzing effects of energy-dependent potentials and exploring scaling phenomena across various nuclear systems and kinematics.

Contribution

It introduces a detailed relativistic model with momentum-dependent potentials to study electromagnetic responses and scaling in quasielastic electron scattering from nuclear matter.

Findings

Energy-dependent potentials significantly affect response predictions.

Scaling functions vary with nuclear systems and kinematic conditions.

Relativistic scalar and vector potentials influence scaling behavior.

Abstract

A detailed study of the electromagnetic responses for quasielastic $(e,e')$ reactions from nuclear matter is presented within the framework of a relativistic model including momentum dependent scalar and vector mean field potentials in both the initial and final nucleon wave function states. The effects ascribed to the use of energy-dependent potentials are carefully analyzed by comparing their predictions with the responses obtained in the case of constant, i.e., energy-independent, potentials, as well as with the plane wave limit in the final state. The study is extended to the scaling phenomenon. Results are provided for the scaling functions corresponding to different nuclear systems evaluated at several kinematics ranging from intermediate to high values of the transfer momentum. Emphasis is placed on scaling of the first and second kinds and the role played by the relativistic scalar and vector mean field potentials.