It is shown that the Faddeev formalism must and can be modified when the short-range two-body behavior is specified by a hard core or boundary-condition model (BCM). A new integral equation is formulated for this purpose which, in the special case of BCM or hard core alone, reduces to an equation in a single vector variable. This feature provides an apparently unique example of a nonseparable interaction for which the three-body equations can be solved exactly. (Submitted to Phys. Rev. Letters) Work supported by the U. S. A.tomic Energy Commission. On leave 1970- 1971. There are many problems in physics in which it is a useful abstraction to represent the extremely short-range interaction of a two-particle system by introducing a hard core or its generalization, the boundary-condition model (BCM). A
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