Heavy and heavy-light mesons in the Covariant Spectator Theory

Abstract

The masses and vertex functions of heavy and heavy-light mesons, described as quark-antiquark bound states, are calculated with the Covariant Spectator Theory (CST). We use a kernel with an adjustable mixture of Lorentz scalar, pseudoscalar, and vector linear confining interaction, together with a one-gluon-exchange kernel. A series of fits to the heavy and heavy-light meson spectrum were calculated, and we discuss what conclusions can be drawn from it, especially about the Lorentz structure of the kernel. We also apply the Brodsky-Huang-Lepage prescription to express the CST wave functions for heavy quarkonia in terms of light-front variables. They agree remarkably well with light-front wave functions obtained in the Hamiltonian basis light-front quantization (BLFQ) approach, even in excited states.

arXiv commentTalk presented by Alfred Stadler at the conference "Light Cone 2017", 18-22 September 2017, University of Mumbai. 8 pages, 4 figures

References in corpus (18)

• Big-Bang Nucleosynthesis
• pi- and K-meson Bethe-Salpeter Amplitudes
• Baryons as relativistic three-quark bound states
• Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
• Charmonium excited state spectrum in lattice QCD
• Heavy Quarkonium in a Holographic Basis
• Ground-state Spectrum of Light-quark Mesons
• On unifying the description of meson and baryon properties
• Quarkonium as relativistic bound state on the light front
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• Excited hadrons on the lattice: Mesons
• Properties of light scalar mesons from lattice QCD
• Confinement, quark mass functions, and spontaneous chiral symmetry breaking in Minkowski space
• Chiral symmetry and pi-pi scattering in the Covariant Spectator Theory
• Linear confinement in momentum space: singularity-free bound-state equations
• 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
• Covariant Spectator Theory of heavy-light and heavy mesons and the predictive power of covariant interaction kernels

Cited by in corpus (4)

• Bound state properties from the Functional Renormalisation Group
• Multiplicity dependence of ${\chi }_c$ and ${\chi }_b$ meson production
• Exclusive photoproduction of $B_c^{\pm }$ and bottomonia pairs
• Exclusive photoproduction of heavy quarkonia pairs