Doubly heavy baryons Omega_QQ' vs. Xi_QQ' in sum rules of NRQCD

Abstract

In the framework of two-point sum rules of NRQCD, the masses and couplings of doubly heavy baryons to the corresponding quark currents are evaluated with account of coulomb-like corrections in the system of doubly heavy diquark as well as the contribution of nonperturbative terms determined by the quark, gluon, mixed condensates and the product of gluon and quark condensates. The introduction of nonzero light quark mass destroys the factorization of baryon and diquark correlators even at the perturbative level and provides the better convergency of sum rules. We estimate the difference M_Omega - M_Xi = 100+/- 10 MeV. The ratio of baryonic constants |Z_Omega|^2/|Z_Xi|^2 is equal to 1.3+/-0.2 indicating the violation of SU(3) flavor symmetry for the doubly heavy baryons.

18 pages, ReVTeX file, 7 eps-figures, references added

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Cited by in corpus (20)

• Effective Field Theory Lagrangians for Baryons with Two and Three Heavy Quarks
• Chiral Lagrangian with Heavy Quark-Diquark Symmetry
• Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD
• Doubly heavy baryons in QCD sum rules
• Some mass relations for mesons and baryons in Regge phenomenology
• Mass spectra of doubly heavy Omega_QQ' baryons
• Spectroscopy of singly, doubly, and triply bottom baryons
• Masses of doubly and triply charmed baryons
• Spectroscopy of Doubly-Charmed Baryons in Lattice QCD
• Symmetries and Systematics of Doubly Heavy Hadrons
• Strange baryons with two heavy quarks
• Systematic analysis of doubly charmed baryons ${\Xi }_{cc}$ and ${\Omega }_{cc}$
• Heavy flavor baryon spectra via QCD sum rules
• Degeneracy of doubly heavy baryons from heavy quark symmetry
• Exclusive $c\to s,d$ semileptonic decays of ground-state spin-1/2 doubly charmed baryons
• SU(3) Predictions for Weak Decays of Doubly Heavy Baryons -- including SU(3) breaking terms
• Semileptonic transition of ${\Sigma }_b$ to $\Sigma$ in Light Cone QCD Sum Rules
• Tree Level Semileptonic ${\Sigma }_b$ to Nucleon Decay in Light Cone QCD Sum Rules
• Static properties and Semileptonic transitions of lowest-lying double heavy baryons
• Possibility of Measuring the CP-Violation gamma-parameter in Decays of Xi_bc Baryons