Covariant Spectator Theory of heavy-light and heavy mesons and the predictive power of covariant interaction kernels

Abstract

The Covariant Spectator Theory (CST) is used to calculate the mass spectrum and vertex functions of heavy-light and heavy mesons in Minkowski space. The covariant kernel contains Lorentz scalar, pseudoscalar, and vector contributions. The numerical calculations are performed in momentum space, where special care is taken to treat the strong singularities present in the confining kernel. The observed meson spectrum is very well reproduced after fitting a small number of model parameters. Remarkably, a fit to a few pseudoscalar meson states only, which are insensitive to spin-orbit and tensor forces and do not allow to separate the spin-spin from the central interaction, leads to essentially the same model parameters as a more general fit. This demonstrates that the covariance of the chosen interaction kernel is responsible for the very accurate prediction of the spin-dependent quark-antiquark interactions.

arXiv comment5 pages, 2 figures

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Cited by in corpus (11)

• Quarkonium as relativistic bound state on the light front
• Renormalized quark-antiquark Hamiltonian induced by a gluon mass ansatz in heavy-flavor QCD
• 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
• Quark mass function from a one-gluon-exchange-type interaction in Minkowski space
• Quarkonium wave functions on the light front
• Quasi-exotic open-flavor mesons
• Heavy and heavy-light mesons in the Covariant Spectator Theory
• Quark mass functions and pion structure in the Covariant Spectator Theory
• Application of the Covariant Spectator Theory to the study of heavy and heavy-light mesons
• Removal of singularities from the covariant spectator theory