Potential models and meson spectra

We propose eight types of quark-antiquark interactions suited to describe various meson sectors. They contain QCD inspired components: the Coulomb-like interaction, the confinement potential and an instanton interaction. These forms are supplemented with a phenomenological hyperfine energy term. The size of the constituent quarks is taken into account. We consider two different kinematics: non-relativistic and semi-relativistic. The parameters are determined by a minimization procedure on representative samples of mesons. The full spectra are calculated and the form factors for the pion and the kaon are also studied. A careful analysis of the different models is performed through a comparison with experiment and between themselves.