The energy dependence of cross sections for inelastic pion scattering to the $\Delta S=\Delta T=\Delta J=1\mathrm{}$ transition at 15.11 MeV in ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ is found to map very closely the $\Delta S=\Delta T=\Delta J=1\mathrm{}\pi$-nucleon scattering cross sections at beam energies from 50 to 295 MeV. This free $\pi$-nucleon energy dependence is due to the prominent ${\Delta }_{\frac{3}{2},\frac{3}{2}}$ resonance, corresponding to the first excited nucleon state, which is mirrored in the $\pi$-nucleus system with little alteration.

• Received 26 August 1988

DOI:https://doi.org/10.1103/PhysRevC.38.2978