Abstract
We consider the Watson multiple-scattering series for a three-body problem in the eikonal approximation. The sum of the series,i.e. the off-shell three-body transition amplitude, is expressed in closed form entirely in terms of off-shell two-body transition amplitudes. The result shows that the simple cancellation that occurs in the eikonal multiple-scattering series for the on-shell amplitude breaks down for the off-shell amplitude.
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