Effective QCD string and doubly heavy baryons

Abstract

Expressions for the potentials appearing in the nonrelativistic effective field theory description of doubly heavy baryons are known in terms of operator insertions in the Wilson loop. However, their evaluation requires nonperturbative techniques, such as lattice QCD, and the relevant calculations are often not available. We propose a parametrization of these potentials with a minimal model dependence based on an interpolation of short- and long-distance descriptions. The short-distance description is obtained from weakly-coupled pNRQCD and the long-distance one is computed using an effective string theory. The effective string theory coincides with the one for pure gluodynamics with the addition of a fermion field constrained to move on the string. We compute the hyperfine contributions to the doubly heavy baryon spectrum. The unknown parameters are obtained from heavy quark-diquark symmetry or fitted to the available lattice QCD determinations of the hyperfine splittings. Using these parameters we compute the double charm and bottom baryon spectrum including the hyperfine contributions. We compare our results with those of other approaches and find that our results are closer to lattice QCD determinations, in particular for the excited states. Furthermore, we compute the vacuum energy in the effective string theory and show that the fermion field contribution produces the running of the string tension and a change of sign in the Lüscher term.

27 pages, 6 figures. Journal version

References in corpus (24)

• Heavy Baryons in a Quark Model
• Charmed bottom baryon spectroscopy from lattice QCD
• Excited and exotic charmonium spectroscopy from lattice QCD
• Baryons with two heavy quarks: Masses, production, decays, and detection
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• Nonperturbative determination of the QCD potential at O(1/m)
• Ground-state triply and doubly heavy baryons in a relativistic three-quark model
• Charmed baryons in a relativistic quark model
• Static properties and semileptonic decays of doubly heavy baryons in a nonrelativistic quark model
• Spin-dependent potentials from lattice QCD
• Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light quark masses from lattice QCD
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• Spectroscopy of doubly-charmed baryons from lattice QCD
• String breaking by light and strange quarks in QCD
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• Excited state mass spectra of doubly heavy $\Xi$ baryons
• Bottom baryons from a dynamical lattice QCD simulation
• Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation
• Precision measurement of the ${\Xi }_{cc}^{++}$ mass
• The Hydrogen Bond of QCD in Doubly Heavy Baryons and Tetraquarks
• Exotic to standard bottomonium transitions
• Effective string theory and the long-range relativistic corrections to the quark-antiquark potential
• Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
• Lattice QCD study of the heavy-heavy-light quark potential

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• 50 Years of Quantum Chromodynamics
• Systematic analysis of doubly charmed baryons ${\Xi }_{cc}$ and ${\Omega }_{cc}$
• Molecular ${\Omega }_{cc}$ , ${\Omega }_{bb}$ and ${\Omega }_{bc}$ states
• Heavy meson thresholds in Born-Oppenheimer Effective field theory
• Mass spectra of double-bottom baryons
• Electromagnetic Structure of Spin-$\frac{1}{2}$ Doubly Charmed Baryons in Lattice QCD
• Doubly heavy baryons in Born-Oppenheimer EFT