Dispersive optical model analysis of nucleon scattering on Zr90

Abstract

$^{90}\mathrm{Zr}$ is a double-magic spherical nucleus. Nucleon scattering on such a nucleus can be well described by spherical optical model potentials. Nucleon scattering data including neutron total cross section, elastic scattering angular distributions and analyzing powers, and low-energy scattering observables are used to derive a new Lane-consistent spherical optical model potential that obeys dispersive constraints, features nonlocality of the real part, and considers the shell gap in the potential. It is shown that the derived dispersive optical potential gives a good description of the energies of the bound single-particle states of the target nucleus $^{90}\mathrm{Zr}$.