Inelastic scattering of pions with energy near the (3,3) resonance is calculated with a distorted-wave impulse approximation formulated in momentum space. Results for all $1p$-shell targets are given and compared to existing data. Strong transitions are dominated by quadrupole amplitudes, and enhancement factors consistent with observed $B\left(E2\mathrm{}\right)\mathrm{}$ values are needed to attain agreement with observed cross sections in these cases. The sensitivity of pion scattering to isospin effects is noted. This distorted-wave impulse approximation approach appears to offer a reasonable interpretation of inelastic pion scattering.

NUCLEAR REACTIONS, NUCLEAR STRUCTURE ($\pi ,{\pi }^{\prime }$) $E_{\pi }\approx 120 \mathrm{to} 220$ MeV; $1p$-shell targets, theoretical $\frac{d\sigma }{d\Omega }$ based on DWIA in momentum space; effect of nuclear structure and sensitivity to isospin.

• Received 2 August 1979

DOI:https://doi.org/10.1103/PhysRevC.21.293