Quark-Antiquark Bound States in the Relativistic Spectator Formalism

Abstract

The quark-antiquark bound states are discussed using the relativistic spectator (Gross) equations. A relativistic covariant framework for analyzing confined bound states is developed. The relativistic linear potential developed in an earlier work is proven to give vanishing meson$\to$ $q+\bar{q}$ decay amplitudes, as required by confinement. The regularization of the singularities in the linear potential that are associated with nonzero energy transfers (i.e. $q^2=0,q^{\mu }\ne 0$) is improved. Quark mass functions that build chiral symmetry into the theory and explain the connection between the current quark and constituent quark masses are introduced. The formalism is applied to the description of pions and kaons with reasonable results.

31 pages, 16 figures

References in corpus (1)

• Confinement and the analytic structure of the one body propagator in Scalar QED

Cited by in corpus (30)

• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• 50 Years of Quantum Chromodynamics
• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• A pure S-wave covariant model for the nucleon
• Semileptonic decays of $D$ and $D_s$ mesons in the relativistic quark model
• A Covariant model for the nucleon and the $\Delta$
• Confinement, quark mass functions, and spontaneous chiral symmetry breaking in Minkowski space
• A model for the Delta(1600) resonance and gamma N -> Delta(1600) transition
• The shape of the nucleon
• Pion electromagnetic form factor in the Covariant Spectator Theory
• Linear confinement in momentum space: singularity-free bound-state equations
• Chiral symmetry and pi-pi scattering in the Covariant Spectator Theory
• Nucleon-Nucleon Optical Model for Energies to 3 GeV
• 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
• $N^{\ast }$ Form Factors based on a Covariant Quark Model
• Nonperturbative dynamics of scalar field theories through the Feynman-Schwinger representation
• Quark mass function from a one-gluon-exchange-type interaction in Minkowski space
• Charge-conjugation symmetric complete impulse approximation for the pion electromagnetic form factor in the Covariant Spectator Theory
• Quark-Hadron Duality and Scaling in Reduced QCD
• Electroweak form factors of baryons in dense nuclear matter
• Scalar-particle self-energy amplitudes and confinement in Minkowski space
• Quark mass functions and pion structure in the Covariant Spectator Theory
• Quark mass functions and pion structure in Minkowski space
• Simple high-accuracy method for solving bound-state equations with the Cornell potential in momentum space
• Chiral-symmetry breaking and confinement in Minkowski space
• Removal of singularities from the covariant spectator theory
• Quark model with chiral-symmetry breaking and confinement in the Covariant Spectator Theory
• Singularity-free two-body equation with confining interactions in momentum space