Crossing and Unitarity in a Multichannel Static Model. II

Constraints on the solution of the unitarity equation for a two-channel scattering problem arising from the requirements of crossing for the inelastic amplitude are shown to imply the relations imposed by crossing under SU(2) for the elastic amplitudes in the limit of vanishing coupling to the inelastic channel. This result is extended to the three-channel case, where at least two distinct classes of internal symmetry crossing relations can exist: the unitarity equations alone simulate the SU(2) case, but not that associated with higher symmetry groups.