Abstract
We have studied the three-quark systems in an effective Hamiltonian (EH) approach, which is derived from QCD. The EH has the form of the nonrelativistic three-quark Hamiltonian with perturbative Coulomb-like and nonperturbative string interactions and a specific mass term. After outlining the approach, methods of calculating the baryon eigenenergies and some simple applications are explained in detail. With only two parameters, the string tension σ=0.15 GeV2 and the strong coupling constant α s =0.39, we obtain a good description of the ground-state light and heavy baryons. Predictions of the masses of doubly heavy baryons not discovered yet are also given. In particular, a mass of 3660 MeV for the lightest Ξcc baryon is found by employing the hyperspherical formalism to the three-quark confining potential with the string junction.
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From Yadernaya Fizika, Vol. 67, No. 4, 2004, pp. 783–793.
Original English Text Copyright © 2004 by Narodetskii, Trusov.
This article was submitted by the authors in English.
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Narodetskii, I.M., Trusov, M.A. Ground-state baryons in nonperturbative quark dynamics. Phys. Atom. Nuclei 67, 762–772 (2004). https://doi.org/10.1134/1.1707138
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DOI: https://doi.org/10.1134/1.1707138