scattering amplitude to one loop in chiral perturbation theory, its unitarization and pion form factors

1998/05/15 by Francisco Guerrero, J. A. Oller, Jose Antonio Oller · 4 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0550-3213(98)00663-4

published as Nucl.Phys. B537 (1999) 459-476; Erratum-ibid. B602 (2001) 641-643 · 22 pages, 10 figures, LaTeX. Submitted to Nucl. Phys. B

arxiv created 1998/05/15 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We have calculated the KK bar --> KK bar scattering amplitude to next to leading order in Chiral Perturbation Theory. Then, making use of a unitarization procedure with one or several coupled channels (ππ, KK bar in our case) we have calculated the ππ--> ππ, ππ--> KK bar and KK bar --> KK bar S and P waves in good agreement with the experiment up to √(s)= 1.2 GeV. The ππscattering lengths with isospin and spin (I,J) equal to (0,0), (1,1) and (2,0) are also calculated in agreement with experiment and former Chiral Perturbation Theory calculations. Finally we have employed these amplitudes, making use of an Omnes representation, to calculate the scalar and the vector pion form factors, obtaining a good agreement with the available experimental data.

Citations

• Chiral symmetry amplitudes in the S-wave isoscalar and isovector channels and the σ, f0(980), a0(980) scalar mesons
• Chiral perturbation theory
• Phenomenological Lagrangians

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