Possible One-Channel Castille jo-Dalitz-Dyson Poles in πN and ππ Scattering

D. Atkinson and M. B. Halpern
Phys. Rev. 150, 1377 – Published 28 October 1966
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Abstract

We explore interchannel coupling as a qualitative guide in dynamical calculations, and as an ingredient in models of πN and ππ scattering. Our first model is the SU(6)-symmetric static baryon bootstrap of Capps, Belinfante, and Cutkosky. We find, on the assumption of a successful bootstrap, that the P11 and P33πN waves each contain a one-channel Castillejo-Dalitz-Dyson (CDD) pole. If these CDD poles survive SU(6) 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 P11 amplitude, and the observed P33 high-energy phase shift. Secondly, we assume that the observed nonet of 2+ particles is the Regge recurrence of a nonet of 0+ extinct bound states, and that these latter can be calculated in a dynamical 00 (3-channel) calculation. We find, in exact SU(3) symmetry, that certain waves contain one-channel CDD poles; for example, the T=J=0ππ wave contains one. On the assumption of SU(6), however, every extinct bound state appears to bring down a CDD pole, in which case there would be no observable consequence of the 0+ 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

Authors & Affiliations

D. Atkinson and M. B. Halpern

  • Department of Physics, University of California, Berkeley, California

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Issue

Vol. 150, Iss. 4 — October 1966

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