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Yang-Mills fields and the pi pi interaction

Oct, 1970
10 pages
Published in:
  • Phys.Rev.D 3 (1971) 1865
DOI:
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Abstract: (APS)
Starting from a Lagrangian where the ρ meson is treated as a Yang-Mills field, we calculate ππ scattering amplitudes in the one-loop approximation. The summation of the strong-coupling perturbation series is performed with a unitary-rational-function approximation, and the ρ appears as a true resonance. We show that the interaction generates the d-wave f0 resonance, and a very broad s-wave σ resonance. The model yields a version of the Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin relation, which agrees very well with experiment, and our s-wave amplitudes are close to the current-algebra predictions. We draw some conclusions on ππ dynamics.
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