Medium modified effective two nucleon interactions have been defined for protons incident upon ${}^{12}\mathrm{C}$ with energies ranging from 40 to 800 MeV. Those effective interactions have been folded with ground state density matrices from a large space shell model of ${}^{12}\mathrm{C}$ to give complex nonlocal optical potentials. With those the elastic scattering differential cross sections and analyzing powers have been analyzed. Good results are obtained when the effective interactions are linked to $\mathrm{NN}$ interactions that fit $\mathrm{NN}$ scattering data and when exchange amplitudes in scattering that lead to strong nonlocality in the optical potentials are taken into account.

• Received 29 November 1999

DOI:https://doi.org/10.1103/PhysRevC.62.024605