Exchange degeneracy breaking in the scattering and particle regions

The analytic continuation, from the scattering (t<0) to the particle (t>0) region, of the non-planar diagrams (having torus topology) which generate a splitting between planar trajectories with non-zero iso-spin is performed. Relying heavily on the previous work on the planar and cylinder amplitudes, 'asymptotic planarity' is derived and the rate of approach to it is estimated. (Auth.)