Microscopic model analyses of select scattering of 135 MeV protons from ¹²C

An effective interaction based upon two nucleon g matrices has been used in a fully microscopic calculation of the nonlocal proton-¹²C 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 ¹²C (¹²N), 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 ¹²C and from the charge exchange reactions leading to the low excitation states of ¹²N have been evaluated. Our results indicate a problem with the structure model when 3ħω components are considered.