Determination of quark-antiquark potentials and meson spectra

We determine two different sets of quark-antiquark potential to be used in a Schrodinger or a Salpeter type equation, The central part contains QCD in spired components: the Coulomb-like interaction, the confinement potential and an instanton interaction. It is supplemented with phenomenological term s: hyperfine, symmetric and antisymmetric spin-orbit, and tensor interactio ns. The constituent quarks are characterized by a mass and a charge density . The parameters are determined by a minimization procedure on representati ve samples of mesons. The full spectra are calculated and the charge square radii and the form factors for the pion and the kaon are also studied. (C) 1999 Elsevier Science B.V.