An analytic distorted wave approximation for pion scattering from nuclei

An analytic approximation to the conventional distorted wave approximation for analyses of the elastic and inelastic scattering of pions of intermediate energy from nuclei is developed. Analyses of the elastic scattering data for π-on 12C using the best fit Kisslinger optical model potentials in the integral form of the scattering amplitude ascertain the relevant analytic function forms for use in analyses of inelastic scattering data. Using these functions, a separable pion-nucleon t-matrix (in momentum space) and large basis (microscopic) structure models, good fits to data from the excitations of the 21+ (4.44 MeV) and 31- (9.64 MeV) states in 12C have been obtained