  The nucleon differential elastic scattering cross sections, the total proton
reaction cross sections, and the single-particle energies of nucleon bound
states for 40Ca, 90Zr and 208Pb are reanalyzed in terms of the dispersive
optical model at energy ranging from -75 MeV to +60 MeV. The resultant real
effective Woods-Saxon potential, which corresponds to the dispersive optical
model potential, is studied as dependent on A, Z, and E and on projectile type
(proton or neutron). For the first time, a parameterization of the Woods-Saxon
real part of the nucleon-nucleus potential is proposed for the 40<A<208 nuclei
at energy ranging from -60 MeV to +60 MeV, including a range near the Fermi
energy. The parameterization reflects the dispersion relation between the real
and imaginary parts of the optical model potential through the energy
dependence of the radius parameter of the real part of the potential. The
method to determine the imaginary part of the optical model potential, which is
symmetrical relative to the Fermi energy, is also proposed for the 40<A<208
nuclei. The differential elastic scattering cross sections, the total
interaction cross sections, the total proton reaction cross sections, and the
single-particle energies of the nucleon bound states calculated in terms of the
proposed nucleon-nucleus potential parameterization for some of the n,p+A
(40<A<208) systems are compared with the available experimental data, yielding
a fairly good agreement.
