An effective interaction based upon two nucleon $g$ matrices has been used in a fully microscopic calculation of the nonlocal proton-${}^{12}$C optical potential at 135 MeV. Excellent predictions of the differential cross section from elastic scattering result. The same effective interaction, combined with one body density matrix elements specified by a large basis shell model for ${}^{12}$C ${(}^{12}$N), and with the relative motion wave functions from the nonlocal optical potentials define the distorted wave approximation that is employed to analyze cross sections from inelastic proton scattering. With that approximation, inelastic scattering cross sections from various states in ${}^{12}$C and from the charge exchange reactions leading to the low excitation states of ${}^{12}$N have been evaluated. Our results indicate a problem with the structure model when 3$ħ\omega$ components are considered.

• Received 4 June 1996

DOI:https://doi.org/10.1103/PhysRevC.55.2723