Abstract
Abstract We study the effects of Fresnel diffraction on the multiple scattering of high-energy hadrons in complex nuclei. Starting from a Watson-type multiple scattering series, we approximate the free-space propagators by Fresnel propagators. By employing the unitary transformation that connects the Fresnel and eikonal propagators, we derive a closed expression for the multiple scattering amplitude which is formally similar to the corresponding Glauber expression. The Fresnel diffraction effects manifest themselves in a characteristics Dyson-type ordering of the profile operators with respect to the z -coordinates of the target nucleons. The general formulae are then applied to elastic scattering by a target nucleus represented by an independent particle model. As an example, the amplitude for nucleon-deuteron scattering is explicitly evaluated and compared with a result previously derived by Gottfried.
Published Version
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