Abstract

The problem of potential scattering by a number of similar scatterers is reformulated so that the potential is eliminated from the equations and replaced by a function which characterizes the scattering properties of the individual scatterer. The resulting equations can be used for the more general case where the single-scattering process is not describable by a potential, e.g., absorption or---to a certain extent---inelastic scattering. A solution of the equations by iteration is considered and compared with Born's approximation. As an application, the second approximation for the scattering of thermal neutron by a small crystal is calculated.

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