Abstract
Triply heavy baryons are investigated in the framework of the relativistic quark model based on the quark-diquark picture in the quasipotential approach in QCD. Masses of the ground and excited states of the ${\mathrm{\ensuremath{\Omega}}}_{ccc}$, ${\mathrm{\ensuremath{\Omega}}}_{bbb}$, ${\mathrm{\ensuremath{\Omega}}}_{ccb}$, and ${\mathrm{\ensuremath{\Omega}}}_{cbb}$ baryons are calculated. Orbital and radial excitations between the diquark and quark as well as between quarks inside the diquark are considered. The diquark internal structure is consistently taken into account by the form factor of the diquark-gluon interaction expressed through the overlap integral of the diquark wave functions. A detailed comparison with previous calculations is given.
Highlights
Significant experimental progress has been achieved in studying hadrons with heavy quarks
We applied the relativistic quark model based on the quasipotential approach in QCD for the calculation of the mass spectra of triply heavy baryons
The relativistic quark-diquark approximation was used to reduce a very complicated relativistic three-body problem for the subsequent solution of two more simple two-body problems: first calculation of the diquark properties and considering baryons as a quark-diquark bound system. Such an approach was previously successfully applied for the calculation of the masses of the ground and excited states of doubly heavy [14], heavy [13], and strange baryons [15]
Summary
Significant experimental progress has been achieved in studying hadrons with heavy quarks. We apply the relativistic quark model based on the quasipotential approach in QCD to calculate the mass spectra of triply heavy baryons. These baryons contain only heavy quarks, and in the literature, they are usually treated as nonrelativistic systems. The relativistic quark dynamics permitted us to get predictions for meson [10,11], baryon [12,13,14,15], and tetraquark [3] masses and decays in good agreement with experimental data using the universal set of model parameters, which we keep fixed in the present calculations of the triply baryon spectroscopy.
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