Inclusive electron scattering in the quasielastic region with the Korea-IBS-Daegu-SKKU density functional
Hana Gil, Chang Ho Hyun, Kyungsik Kim
Abstract
With the framework of the KIDS (Korea-IBS-Daegu-SKKU) density functional model, the isoscalar and isovector effective masses of nucleons and the effect of symmetry energy in nuclear medium are investigated in inclusive $(e,{e}^{\ensuremath{'}})$ reactions in the quasielastic region. The effective masses are varied in the range $(0.7--1.0)M$ 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 the target nucleus are generated by solving the Hartree-Fock equation with adjustment of the equation of state, binding energy, and radius of various stable nuclei, and the effective masses of nucleons in the KIDS model. With the obtained wave functions, we calculate the differential cross section for the inclusive $(e,{e}^{\ensuremath{'}})$ reaction and compare the theoretical results with Bates, Saclay, and SLAC experimental data. Our model describes better the experimental data at SLAC-type high incident electron energy than those measured from Bates and Saclay. The influence of the effective mass and symmetry energy on the longitudinal cross section appears to be precise.