Electron-induced proton knockout from neutron rich nuclei

TL;DR

This paper investigates how the electron-induced proton knockout cross section varies with neutron-proton asymmetry in nuclei, using both nonrelativistic and relativistic models validated against calcium isotopes.

Contribution

It introduces a comparative analysis of nonrelativistic and relativistic models for electron scattering on neutron-rich nuclei, extending previous work to a broader set of calcium isotopes.

Findings

Models agree with experimental data on calcium isotopes.

Cross sections vary with neutron excess, indicating changes in nuclear structure.

Relativistic effects influence the predicted cross sections.

Abstract

We study the evolution of the \eep cross section on nuclei with increasing asymmetry between the number of neutrons and protons. The calculations are done within the framework of the nonrelativistic and relativistic distorted-wave impulse approximation. In the nonrelativistic model phenomenological Woods-Saxon and Hartree-Fock wave functions are used for the proton bound-state wave functions, in the relativistic model the wave functions are solutions of Dirac-Hartree equations. The models are first tested against experimental data on $^{40}$Ca and $^{48}$Ca nuclei, and then they are applied to a set of spherical calcium isotopes.