Differential cross sections for 40, 50, and 65 MeV ${\mathrm{\pi }}^{+}$ and ${\mathrm{\pi }}^{\mathrm{-}}$ inelastic scattering to $1^{\mathrm{-}}$ excitations in ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ have been measured and compared to distorted wave impulse approximation (DWIA) reaction model predictions. Strengths are presented in terms of sum rules for the $1^{\mathrm{-}}$ state at 10.84 MeV and for the giant dipole resonance from 18 to 25 MeV. An excitation function at q=224 MeV/c for the $1^{\mathrm{-}}$ state at 10.84 MeV is displayed in the energy range from 50 to 291 MeV showing a non-spin-flip pattern. We find inadequacies in the detailed comparison of the shapes of the data to DWIA calculations using several standard nuclear models.

• Received 18 December 1992

DOI:https://doi.org/10.1103/PhysRevC.48.250