The elastic and inelastic scatterings of ${\pi }^{-}$ by ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ are calculated from the $\pi$-nucleon scattering matrix of the Chew model which fits the $\pi$-nucleon $P_{33}$ phase shift data up to about 200 MeV. The results are compared with those calculated from the Kisslinger and Landau-Tabakin models to study the off-shell dependence of the $\pi$-nucleus scattering.

NUCLEAR REACTIONS ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}(\pi , \pi )$, $E=120-230\mathrm{}$ MeV; calculated $\sigma \left(\theta \right)$, $\sigma$ with various models of $\pi$-nucleon interaction.

• Received 20 August 1974

DOI:https://doi.org/10.1103/PhysRevC.11.1505