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The nucleon self-energies of $^{40}$Ca and $^{48}$Ca are determined using anonlocal dispersive optical model (DOM). By enforcing the dispersion relationconnecting the real and imaginary part of the self-energy, scattering andstructure data are used to constrain these self-energies. The ability tocalculate both bound and scattering states simultaneously puts theseself-energies in a unique position to consistently describe exclusive knockoutreactions such as $(e,e'p)$. The present analysis reveals the importance ofhigh-energy proton reaction cross-section data in constraining spectroscopicfactors required for the description of the $(e,e'p)$ cross sections. Inparticular, it is imperative that high-energy proton reaction cross-sectiondata are measured for $^{48}$Ca in the near future so that the quenching of thespectroscopic factors in the $^{48}$Ca$(e,e'p)^{47}$K reaction can beunambiguously constrained using the DOM. Measurements of proton reaction crosssections in inverse kinematics employing rare isotope beams with large neutronexcess will provide corresponding constraints on proton spectroscopic factorsfor exotic nuclei. Moreover, DOM generated spectral functions indicate that thequenching of spectroscopic factors compared to $^{40}$Ca is not only due tolong-range correlation, but also partly due to the increase in high-momentumprotons in $^{48}$Ca on account of the strong neutron-proton interaction.Single-particle momentum distributions of protons and neutrons in $^{48}$Cacalculated from these spectral functions confirm that neutron excess causes ahigher fraction of high-momentum protons than neutrons.

Investigating the link between proton reaction cross sections and the quenching of proton spectroscopic factors in $^{48}$Ca