Rescattering effects in the Deck model

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Abstract
The authors study resonant rescattering corrections to the Deck amplitude B for diffractive dissociation of hadrons. The results of numerical calculations for a variety of physically-reasonable forms of B show that provided B falls off faster than a simple pole the rescattered amplitude is well approximated by the form Bei delta cos delta , rather than Bei delta sin delta /k. They conclude that the former expression is generally relevant to situations in which the Born amplitude B is spatially diffuse, while the latter applies if B is spatially localised.