Meson spectrum in a non-relativistic model with instanton-induced interaction

Abstract

On the basis of the phenomenological non-relativistic quark model, we have obtained the ground-state masses of the light pseudo-scalar and vector mesons. The full Hamiltonian used in the investigation includes the kinetic energy, the confinement potential, the one-gluon-exchange potential and the instanton-induced quark–antiquark interaction. A good agreement is obtained with the experimental masses. The η–η' splitting is explained. The limitation of the perturbative treatment for estimating the π–ρ splitting using OGEP is also pointed out.