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.

5 pages, 2 figures

References in corpus (7)

• Big-Bang Nucleosynthesis
• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• Observation of the ${\rm Y}(1^3{D}_J)$ Bottomonium State through Decays to ${\pi }^{+}{\pi }^{-}{\rm Y}(1S)$
• Chiral symmetry and pi-pi scattering in the Covariant Spectator Theory
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• Applications of Two-Body Dirac Equations to the Meson Spectrum with Three versus Two Covariant Interactions, SU(3) Mixing, and Comparison to a Quasipotential Approach

Cited by in corpus (5)

• 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
• Application of the Covariant Spectator Theory to the study of heavy and heavy-light mesons
• Removal of singularities from the covariant spectator theory