Abstract

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 $B(E2)$ 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 ($\ensuremath{\pi},{\ensuremath{\pi}}^{\ensuremath{'}}$) ${E}_{\ensuremath{\pi}}\ensuremath{\approx}120 \mathrm{to} 220$ MeV; $1p$-shell targets, theoretical $\frac{d\ensuremath{\sigma}}{d\ensuremath{\Omega}}$ based on DWIA in momentum space; effect of nuclear structure and sensitivity to isospin.

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