The mass spectrum of light and heavy mesons in quark potential model

The system of relativistic-covariant Scwinger-Dyson(SD) and Bethe-Salpeter(BS) equations with interaction potential taken in form of oscilator and coulomb terms is considered. The method for solving nonlinear integro-differential SD equation with chosen potential is proposed. The algorithm for numerical solving a boundary value problem for two-quark bound states has been worked out. The solution of three dimentional BS equation on quark-antiquark bound state in approximation of instant interaction is obtained. The eigen values and eigen functions of BS equation are compared to the mass spectrum and wave functions of pseudoscalar mesons and its radial excitations of states. Dependence of relation of calculated decay constant values and the meson mass on current quark masses was found. The values of coulomb potential constants were defined by comparing these relations to experimenta values. (author)