Pion-induced elastic and inelastic scattering above the 3,3 resonance

Results of Glauber model calculations of elastic and inelastic scattering from ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$, and ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ca}$ of pions having energy of 300 to 1200 MeV are presented. Experimental πN phase shifts including l=0 through 5 are used in the calculation. The f wave is important above 300 MeV and the g and h wave above 900 MeV. Effects of spin flip are included. The model reasonably reproduces the 800 MeV/c data of Marlow although the inelastic scattering of the $2^{+}$ of ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ requires an enhancement of the quadrupole component consistent with the effective charge. The previously observed anomaly in ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ in which a much larger oscillator parameter was required in pion scattering than in electron scattering disappears at higher energy. The σ(${\mathrm{\pi }}^{\mathrm{-}}$n) to σ(${\mathrm{\pi }}^{+}$n) ratio is found to be appreciably different from expectations based on pion scattering from free nucleons.