ππ scattering and the meson resonance spectrum

A ππ, K-bar K, and ρρ(ωω) fully coupled channel model is used to predict a lowest isospin S, P, D, F-wave phase shifts and inelasticities for elastic ππ scattering from threshold to 2.0 GeV. As input the S-matrix is required to exhibit poles corresponding to the meson resonance table of the Particle Data Group. As expected, the ππ inelasticity is very strongly related to the opening of the K-bar K channel near 1 GeV, and the opening of ρρ(4π) and ωω(6π) channels in the 1.5 GeV region. The predictions of this model are compared to the various elastic ππ → ππ amplitudes, that were obtained from analyses of π- p → π-π+ n data. The role of the various resonances, in particular the glueball candidate f0(1500) and the fJ(1700) is investigated. (authors)