Multiparticle partial-wave amplitudes and inelastic unitarity. IV. A scattering model with production and its characteristic operator function

A completely solvable quantum-mechanical three-particle system that includes breakup is discussed. The partial-wave amplitudes obtained are written in an abstract form to remove their dependence on potential theory, and unitarity is then used to specify genuine production amplitudes. The characteristic operator function is calculated for the resulting set of partial-wave amplitudes, as a physical illustration of the harmonic-analysis approach to three-body unitarity.