Elsevier

Nuclear Physics A

Volume 382, Issue 3, 12 July 1982, Pages 434-460
Nuclear Physics A

Quasi-elastic pion scattering on 16O: A comparison between the Δ-hole approach and a standard first-order calculation

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Abstract

We present calculations of quasi-elastic pion scattering on 16O in both the Δ- hole model and a standard first-order theory. The basic approach is a modified “DWIA”, where the same in-medium πN t-operator is used for the transition and the optical potential generating the distorted pion wave functions. In order to allow a meaningful comparison with the recent SIN data, all technical complications such as background interactions, non-static vertex-corrections, 1/A effects, are taken into account, and the DWIA amplitude is evaluated without further numerical simplification like, e.g., factorization. In contrast to the closure approximation, the Δ-hole model predicts correctly the doubly differential cross sections for (π, π') on 16O over a wide range of angles and energy-losses.

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