Studying of the proton shell evolution of Zr isotopes within the dispersive optical model

Abstract

Proton single-particle spectra of 90,92,94,96,118,122Zr isotopes are calculated using a mean field model with dispersive optical potential. The resulting single-particle energies ensure agreement between single-particle orbit occupation probabilities calculated using the formulas of the BCS theory, the available experimental data, and the atomic number Z. The difference between the calculated proton single-particle spectra and the magic-Z nucleus spectrum is described, along with effect the neutron structure of Zr isotopes has on the proton structure.