Abstract
By considering many coupled two-body-channel scattering amplitudes that possess a unique continuation in the angular-momentum variable , we show: (1) that several methods of obtaining the single-channel solution for the elastic amplitude with an inelasticity factor agree with the corresponding many-channel matrix solution at high ; (2) that in order to preserve agreement when continuing to low angular momentum one must generally introduce Castillejo-Dalitz-Dyson (CDD) cuts or poles into the single-channel function; (3) that the integral equations for may be continued in , automatically yielding the CDD cuts mentioned above. Finally, we introduce a distinction between elastic and inelastic resonance poles based on continuation in and show that the latter will not appear in calculations that fail to include the requisite CDD singularities.
- Received 19 May 1965
DOI:https://doi.org/10.1103/PhysRev.140.B90
©1965 American Physical Society