Exploring Nuclear Structure of Semi-Magic Nucleus, ⁹⁰Zr with the Dispersive Optical Model

A non-local dispersive optical model (DOM) analysis of the semi-magic nucleus, ⁹⁰Zr, is carried out. DOM is a phenomenological optical potential that uses scattering and bound state data together with a dispersion relation. Proton single-particle levels in this nucleus are subject to pairing correlation effects, which fragment p_1/2 and g_9/2 states. The pairing gap parameter, Δ, is determined by comparing with experimental data of fragmentation. Results for the (e,e'p) cross sections are compared with experimental data using DOM-generated spectroscopic factors. Since ⁹⁰Zr has more neutrons than protons (i.e., asymmetric), we investigate the neutron skin thickness. Additionally, there will be a difference in the high-momentum content due to this asymmetry. We introduce an energy dependence in the radial form factor for a more realistic description of high-momentum content. This allows us to better explore the correlation between high momentum content and neutron skins.