Abstract
The occurrence of e limits in the Lippmann-Schwinger integral equations of scattering have given rise to some common misconceptions. The two- and three-body problems are re-examined in some detail and it is shown that for the two-body problem an infinite sequence of integral equations with finite e values may be replaced by a single equation in the limit of e tending to zero. In the three-body problem an infinite sequence of integral equations can be replaced in the limit of e tending to zero by a single inhomogenous equation together with two homogenous equations which need to be solved simultaneously. It is shown, furthermore, that these three equations are mutually compatible.
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