ar X iv : 0 81 1 . 21 84 v 1 [ he p - ph ] 1 3 N ov 2 00 8 Heavy baryon spectroscopy in the QCD string model

QCD string model formulated in the framework of the Field Correlator Method (FCM) in QCD is employed to calculate the masses of Σc, Ξc and recently observed at Tevatron Σb, Ξb baryons and their orbital excitations. The auxiliary field formalism allows one to write a simple local form of the effective Hamiltonian for the three quark system, which comprises both confinement and relativistic effects, and contains only universal parameters: the string tension σ, the strong coupling constant αs, and the bare (current) quark masses mi. We calculate the hyperfine splitting with account of the both perturbative and non–perturbative spin-spin forces between quarks in a baryon. For the orbital excitations we estimate the string correction for the confinement potential the leading correction to the contribution of the proper inertia of the rotating string. This correction lowers the masses of the P-states by 50 MeV. We find our numerical results to be in good agreement with experimental data.