Spectra of heavy mesons in the Bethe-Salpeter approach

Abstract

We present a calculation of the spectrum of charmonia, bottomonia and B_c-meson states with `ordinary' and exotic quantum numbers. We discuss the merits and limitations of a rainbow-ladder truncation of Dyson-Schwinger and Bethe-Salpeter equations and explore the effects of different shapes of the effective running coupling on ground and excited states in channels with quantum numbers J <= 3. We furthermore discuss the status of the X(3872) as a potential (excited) quark-antiquark state and give predictions for the masses of charmonia and bottomonia in the tensor channels with J=2,3.

arXiv comment9 pages, 8 figures, 1 table. Version to appear in Eur. Phys J. A

References in corpus (41)

• Heavy quarkonium: progress, puzzles, and opportunities
• Effective field theories for heavy quarkonium
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• Excited and exotic charmonium spectroscopy from lattice QCD
• Analytic properties of the Landau gauge gluon and quark propagators
• Sketching the Bethe-Salpeter kernel
• Spectroscopy and Regge trajectories of heavy quarkonia and B_c mesons
• Aspects and consequences of a dressed-quark-gluon vertex
• Three-point vertices in Landau-gauge Yang-Mills theory
• Nonperturbative determination of the QCD potential at O(1/m)
• The three-gluon vertex in Landau gauge
• Vector meson form factors and their quark-mass dependence
• Evidence for X(3872) from DD* scattering on the lattice
• Gluonic three-point correlations in pure Landau gauge QCD
• Probing the gluon self-interaction in light mesons
• Tetraquark bound states in a Bethe-Salpeter approach
• Spin-dependent potentials from lattice QCD
• Effects of divergent ghost loops on the Green's functions of QCD
• Excited spectroscopy of charmed mesons from lattice QCD
• Probing Unquenching Effects in the Gluon Polarisation in Light Mesons
• Beyond the rainbow: effects from pion back-coupling
• The quark-gluon vertex in Landau gauge bound-state studies
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• Bottomonium in a Bethe-Salpeter-equation study
• Charm quark system at the physical point of 2+1 flavor lattice QCD
• On Gribov's supercriticality picture of quark confinement
• Charmonium spectroscopy and mixing with light quark and open charm states from nF=2 lattice QCD
• Exciting flavored bound states
• Bethe-Salpeter Meson Masses Beyond Ladder Approximation
• Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach
• A first estimate of triply heavy baryon masses from the pNRQCD perturbative static potential
• Beyond Rainbow-Ladder in bound state equations
• Quarkonium at the Frontiers of High Energy Physics: A Snowmass White Paper
• Analytical properties of the quark propagator from truncated Dyson-Schwinger equation in complex Euclidean space
• Coulomb gauge confinement in the heavy quark limit
• Higher order heavy quark Green's functions in Coulomb gauge
• Lattice QCD review of charmonium and open-charm spectroscopy
• Heavy tetraquark confining potential in Coulomb gauge QCD
• Lattice results on charmonium
• Charmonium-like states from scattering on the lattice

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• Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations
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• Continuum limit of the $D$ meson, $D_s$ meson and charmonium spectrum from $N_f=2+1+1$ twisted mass lattice QCD
• $B_c$ Meson Spectrum Via Dyson-Schwinger Equation and Bethe-Salpeter Equation Approach
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• Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons
• Spectra of heavy-light mesons in a relativistic model
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• An approach to calculation of mass spectra and two-photon decays of $c\overline{c}$ mesons in the framework of Bethe-Salpeter Equation
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• Heavy-Light Mesons In A Relativistic Model
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• Heavy-light mesons spectra in a contact interaction
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• The Charm and Beauty of Strong Interactions
• NLO QCD Corrections to ${\eta }_c+h_c(1P)/{\psi }_{1,2}(1D)$ Production at B-factories
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• From asymptotic freedom toward heavy quarkonia within the renormalization group procedure for effective particles
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• Baryons with functional methods
• Spin splitting spectroscopy of heavy quark anti quark systems
• Systematic analysis of the D-wave charmonium states with the QCD sum rules