Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach

Abstract

In a covariant Bethe-Salpeter-equation approach and with a rainbow-ladder truncated model of QCD, we investigate the use of an effective interaction with the goal of reproducing QCD phenomenology. We extend previous studies and present results for ground and excited meson states in the bottomonium and charmonium systems, where the results are surprisingly good for most states. In addition, we formulate a critical outlook on states with exotic quantum numbers as well as the light-quark domain.

9 pages, 7 figures, re-revised version incorporating reviewer comments

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• Elastic electromagnetic form factors of vector mesons
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Masses of J^PC =1^-+ exotic quarkonia in a Bethe-Salpeter-equation approach
• Accounting for the analytical properties of the quark propagator from Dyson-Schwinger equation
• Two Photon Transition Form Factor of $\bar{c}c$ Quarkonia
• Comparison of two Minkowski-space approaches to heavy quarkonia
• Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons
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• Hadronic bound-states in SU(2) from Dyson--Schwinger Equations
• Light-front Wave Functions of Vector Mesons in an Algebraic Model
• Models and Potentials in Hadron Spectroscopy
• From asymptotic freedom toward heavy quarkonia within the renormalization group procedure for effective particles
• Application of the Covariant Spectator Theory to the study of heavy and heavy-light mesons
• Derivation of the gap and Bethe-Salpeter equations at large $N_c$ limit and symmetry preserving truncations
• Baryons with functional methods