Geometrization of vacuum condensate effects in quarkonium potential model

A potential model is suggested in which the dependences of reduced quark mass and interquark potential on coordinates are considered within the framework of the hypothesis of the geometric description of nonperturbative vacuum effects. The existence of the vacuum condensate is modelled by geometric properties of inside-hadron space which is identified with an effective Riemann space with closed topology. For the Schroedinger equation the exact analytical solutions are obtained and the spin-dependent relativistic corrections are calculated. The model gives a good fit to charmonium and bottomonium spectra. The phenomenological conclusions concerning nonperturbative effects are given. The model also suggests a testable prediction for the dependence of reduced mass on coordinates