Abstract

An isobar-doorway model is presented for $\ensuremath{\pi}$-nucleus scattering in the (3, 3) energy region. The connection between this model and multiple-scattering and optical-model approaches is demonstrated through various approximations used in evaluating the doorway amplitude. Effective scattering amplitudes, differing from the free $\ensuremath{\pi}\ensuremath{-}N$ amplitudes as the result of nuclear effects, are suggested for use in multiple-scattering expansions. The importance of a factor ${\ensuremath{\Gamma}}^{\ensuremath{\downarrow}}$ in these amplitudes is marked. (This factor seems associated with a phenomenon analogous to collision broadening for atomic collisions.) An extension of the formalism to (${\ensuremath{\pi}}^{+}, {\ensuremath{\pi}}^{0}$) charge exchange between analog states is given.NUCLEAR REACTIONS Scattering theory for $\ensuremath{\pi}$-nucleus near (3, 3) resonance; isobar-doorway model compared with multiple-scattering techniques.

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