It is shown that the wave function for three particles interior to the finite volume where all force ranges overlap completely determines the exterior wave function via the solution of a one-variable integral equation with a compact kernel. A unitary parametrization of the interior wave function therefore would supply the equivalent of a phase-shift analysis for three-particle final states, including the exact description of overlapping resonances throughout the Dalitz plot.

• Received 15 September 1969

DOI:https://doi.org/10.1103/PhysRevLett.23.1201