Abstract
We derive simple expressions for the effect of medium modifications (or distortions) on the propagation of a pion between two nucleons in a nucleus. Our results are applicable to pion reactions in a variety of situations, but we are particularly interested in the influence of distortions on pion double charge exchange at low energy. We are able to calculate these distortions for a finite nucleus using a realistic choice of optical potential. We represent their effect as a modification of the [ital S]- and [ital P]-wave pion-nucleon scattering amplitudes that occur at the location of the first (or last) nucleon to be struck. We illustrate our method by showing numerical results for a shematic optical potential.
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