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Dispersive Effects in Low Energy Pion-Nucleus Scattering

Author: dgiebink/Thursday, December 25, 1986/Categories: Authors, D. R. Giebink

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Abstract

Dispersive effects on intermediate nucleons and deltas in the pion-nucleon scattering amplitude are shown to be very important for low energy ( T 80 MeV) pion-nucleus reactions. The inclusion of this interaction in comparison with familiar three-body approaches is shown to alter the predicted differential cross sections of a first-order optical potential by more than an order of magnitude and total cross sections by more than a factor of four. In the presence of a second-order potential which incorporates the effect of pion true absorption, differential cross sections differ by a factor of more than three and total cross sections by a factor of two. The large effect is caused by the rapid energy dependence of the imaginary part of the two-body amplitude near the elastic threshold.


 

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