Analysis of neutron bound states of ²⁰⁸Pb by a dispersive optical model potential

A Lane-consistent dispersive spherical optical model potential (DOMP) was derived in EPJ Web of Conferences 146, 12010 (2017) to describe the nucleon scattering on 208Pb by fitting scattering data at positive energies. The real part of this dispersive potential, representing the shell-model potential, is used to calculate the energies of the bound single-particle states of the target nucleus. The effect of dispersive correction terms on the calculation of the bound-state energies is discussed. A set of re-adjusted optical potential parameters, in particular of the spin?orbit potential, is fitted to measured energies of the bound single-particle states of 208Pb. Derived 208Pb root mean square radius shows good agreement with the measured data. This new set of optical model parameters is also shown to improve the agreement with the polarization scattering data for proton induced reactions on 208Pb.