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Heavy baryon spectroscopy in the QCD string model | | I.L.Grach
; I.M.Narodetskii
; M.A.Trusov
; A.I.Veselov
; | | Date: |
13 Nov 2008 | | Abstract: | QCD string model formulated in the framework of the Field Correlator Method
(FCM) in QCD is employed to calculate the masses of $Sigma_c$, $Xi_c$ and
recently observed at Tevatron $Sigma_b$, $Xi_b$ 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 $sigma$, the strong coupling constant $alpha_s$, and the
bare (current) quark masses $m_i$. 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. | | Source: | arXiv, 0811.2184 | | Services: | Forum | Review | PDF | Favorites | |
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