The neutron and proton dispersive optical potential for the 208Pb nucleus has been determined for the energy region from –70 to +60 MeV and used to calculate the differential elastic scattering, the total interaction and reaction cross sections, as well as the single-particle characteristics, the neutron and charge densities, rms radii, and the thickness of the nucleus skin. The calculated results are in good agreement with the experimental data. The proton dispersive optical model potential for the spherical and close to spherical Pb isotopes within the neutron and proton drip lines has been obtained by a similar method. The calculation predicts a trend towards the growth of the proton particle-hole gap, which corresponds to Z = 82 shell closure as Z approaches the proton drip line.
21.10.Pc Single-particle levels and strength functions
21.10.Gv Nucleon distributions and halo features
$^1$Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
$^2$Department of Physics of atomic nucleus and quantum theory of collisions, Faculty of physics, Lomonosov Moscow State University