Inclusive electron scattering in the quasielastic region with Korea-IBS-Daegu-SKKU density functional

TL;DR

This paper uses the KIDS density functional model to analyze inclusive electron scattering in the quasielastic region, focusing on the effects of nucleon effective masses and symmetry energy, and compares theoretical predictions with experimental data.

Contribution

It introduces a detailed analysis of the impact of nucleon effective masses and symmetry energy within the KIDS model on electron scattering observables, improving agreement with high-energy experimental data.

Findings

Better fit to SLAC data at high energies

Effective mass and symmetry energy significantly influence the longitudinal cross section

Model accurately reproduces experimental differential cross sections

Abstract

With the framework of KIDS (Korea-IBS-Daegu-SKKU) density functional model, the isoscalar and isovector effective masses of nucleon and the effect of symmetry energy in nuclear medium are investigated in inclusive $(e,e')$ reaction in quasielastic region. The effective masses are varied in the range $(0.7 \sim 1.0)M$ with free nucleon mass $M$, and the symmetry energy is varied within the uncertainty allowed by nuclear data and neutron star observation. The wave functions of nucleons inside target nucleus are generated by solving Hartree-Fock equation with adjusting equation of state, binding energy and radius of various stable nuclei, and effective mass of nucleon in the KIDS model. With the obtained wave functions, we calculate the differential cross section for the inclusive $(e,e')$ reaction and compare the theoretical results with Bates, Saclay, and SLAC experimental data. Our model describes experimental data better at SLAC-type high incident electron energy than those measured from Bates and Saclay. The influence of the effective mass and symmetry energy appears to be precise on the longitudinal cross section.