QCD based quark description of pi-pi scattering up to the sigma and rho region

Details QCD based quark description of pi-pi scattering up to the sigma and rho region QCD based quark description of pi-pi scattering up to the sigma and rho region

2002-10-09

arxiv.org/abs/hep-ph/0210151v1

Phys.Rev. D66 (2002) 116010

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 7 figures, Revtex

Scientific paper

10.1103/PhysRevD.66.116010

We study forward and backward pi-pi scattering within a QCD model based on the Dyson--Schwinger, Bethe--Salpeter equations truncated to the rainbow-ladder level. Our microscopic relativistic quark formulation preserves chiral symmetry and reproduces the observed scattering lengths for total isospin zero, one and two. At higher energies both scalar and vector meson resonances naturally occur in the scattering amplitudes. We also report a comparative study with phenomenological meson-exchange models and find such approaches are reasonable especially near pi-pi resonances.

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