Abstract
We explore interchannel coupling as a qualitative guide in dynamical calculations, and as an ingredient in models of and scattering. Our first model is the -symmetric static baryon bootstrap of Capps, Belinfante, and Cutkosky. We find, on the assumption of a successful bootstrap, that the and waves each contain a one-channel Castillejo-Dalitz-Dyson (CDD) pole. If these CDD poles survive symmetry breaking, we can understand and correlate a large number of heretofore puzzling features of these waves, for example, the well-established zero in the amplitude, and the observed high-energy phase shift. Secondly, we assume that the observed nonet of particles is the Regge recurrence of a nonet of extinct bound states, and that these latter can be calculated in a dynamical (3-channel) calculation. We find, in exact symmetry, that certain waves contain one-channel CDD poles; for example, the wave contains one. On the assumption of , however, every extinct bound state appears to bring down a CDD pole, in which case there would be no observable consequence of the nonet. In these models, we try to avoid quantitative group theory, emphasizing general principles that we hope may be valid in a larger context.
- Received 2 May 1966
DOI:https://doi.org/10.1103/PhysRev.150.1377
©1966 American Physical Society