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The mass spectra of charmonia, bottomonia and B_c mesons are calculated inthe framework of the QCD-motivated relativistic quark model based on thequasipotential approach. The dynamics of heavy quarks and antiquarks is treatedfully relativistically without application of the nonrelativistic v^2/c^2expansion. The known one-loop radiative corrections to the heavy quarkpotential are taken into account perturbatively. The heavy quarkonium massesare calculated up to rather high orbital and radial excitations (L=5, n_r=5).On this basis the Regge trajectories are constructed both in the total angularmomentum J and radial quantum number n_r. It is found that the daughtertrajectories are almost linear and parallel, while parent trajectories exhibitsome nonlinearity in the low mass region. Such nonlinearity is most pronouncedfor bottomonia and is only marginal for charmonia. The obtained results arecompared with the available experimental data, and a possible interpretation ofthe new charmonium-like states above open charm production threshold isdiscussed.

Spectroscopy and Regge trajectories of heavy quarkonia and B_c mesons