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The recently obtained solutions of Dirac equation in the confining SU(3)-Yang–Mills field in Minkowski spacetime are applied to describe the energy spectra of quarkonia (charmonium and bottomonium). The nonrelativistic limit is considered for the relativistic effects to be estimated in a self-consistent way and it is shown that the given effects are extremely important for both the energy spectra and the confinement mechanism.

Dirac Equation in the Confining SU(3)-Yang–Mills Field and the Relativistic Effects in Quarkonia Spectra