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Chiral Symmetry and Resonances

2003/12/02 by J. E. F. T. Ribeiro, J. E. Ribeiro, Ribeiro, J. E.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0312035

24 pages, 16 figures, uses pstricks and Tasy.sty. Talk at the Conference "Time asymmetric Quantum Theory: The Theory of Resonances", Lisbon July 2003

arxiv created 2003/12/02 · openalex publication_date 2003/12/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A review on the requirements of chiral symmetry on effective quark models is presented. The connection between the pion Salpeter amplitude and the mass gap equation is discussed. Hadronic scattering, notably, ππ scattering is presented. The constraints imposed by chiral symmetry between difractive quark scattering and quark-quark annihilation is presented. Hadronic coupled channels as a consequence of quark-quark annihilation are discussed together with the 3P0 mecahnism. Graphical-rules diagrams are intoduced as a means to evaluate hadronic coupled channel transition potentials. Their role in finding transition potentials responsible, in the scalar sector, for low energy resonances, predicted long ago, and found recently, is also discussed.

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