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Analysis of data involving nuclei far from stability often requires opticalpotential (OP) for neutron scattering. Since neutron data is seldom available,while proton scattering data is more abundant, it is useful to have estimatesof the difference of the neutron and proton optical potentials. Thisinformation is contained in the isospin dependence of the nucleon OP. Here weattempt to provide it for the nucleon-208Pb system. The goal of this paper isto obtain accurate n+208Pb scattering data, and use it, together with existingp+208Pb and 208Pb(p,n)208$Bi*_{IAS} data, to obtain an accurate estimate of theisospin dependence of the nucleon OP at energies in the 30-60 MeV range. Crosssections for n+208Pb scattering were measured at 30.4 and 40.0 MeV, with atypical relative (normalization) accuracy of 2-4% (3%). An angular range of 15to 130 degrees was covered using the beam-swinger time of flight system atMichigan State University. These data were analyzed by a consistent opticalmodel study of the neutron data and of elastic p+208Pb scattering at 45 MeV and54 MeV. These results were combined with a coupled-channel analysis of the208Pb(p,n) reaction at 45 MeV, exciting the 0^+ isobaric analog state in 208Bi.The new data and analysis give an accurate estimate the isospin impurity of thenucleon-208Pb OP at 30.4 MeV, caused by the Coulomb correction to the protonOP. The corrections to the real proton OP given by the CH89 global systematicswas found to be only few percent, while for the imaginary potential it was over20% at the nuclear surface. Based on the analysis of the measured elasticp+208Pb data at 40 MeV, a Coulomb correction of similar strength and shape wasalso predicted for the p+208Pb OP at energy around 54 MeV.

Neutron scattering from 208Pb at 30.4 and 40.0 MeV and isospin dependence of the nucleon optical potential