Pseudoscalar and vector mesons as q\bar{q} bound states

Abstract

Two-body bound states such as mesons are described by solutions of the Bethe-Salpeter equation. We discuss recent results for the pseudoscalar and vector meson masses and leptonic decay constants, ranging from pions up to c\bar{c} bound states. Our results are in good agreement with data. Essential in these calculation is a momentum-dependent quark mass function, which evolves from a constituent-quark mass in the infrared region to a current-quark mass in the perturbative region. In addition to the mass spectrum, we review the electromagnetic form factors of the light mesons. Electromagnetic current conservation is manifest and the influence of intermediate vector mesons is incorporated self-consistently. The results for the pion form factor are in excellent agreement with experiment.

arXiv comment8 pages, 6 .eps figures, contribution to the proceedings of the first meeting of the APS Topical Group on Hadron Physics, Fermilab, Oct. 2004

References in corpus (39)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Dyson-Schwinger equations: a tool for hadron physics
• pi- and K-meson Bethe-Salpeter Amplitudes
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Pion mass and decay constant
• Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
• Measurement of the Charged Pion Electromagnetic Form Factor
• Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Hadron Physics from the Global Color Model of QCD
• Analysis of a quenched lattice-QCD dressed-quark propagator
• The Quark-Photon Vertex and the Pion Charge Radius
• Aspects and consequences of a dressed-quark-gluon vertex
• Pseudoscalar Meson Radial Excitations
• Electromagnetic Pion Form Factor and Neutral Pion Decay Width
• Survey of heavy-meson observables
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• Nonperturbative structure of the quark-gluon vertex
• Pseudovector components of the pion, pi^0 -> gamma gamma, and F_pi(q^2)
• Electromagnetic Transition Form Factors of Light Mesons
• Lattice quark propagator with staggered quarks in Landau and Laplacian gauges
• Quark-gluon vertex model and lattice-QCD data
• Nonperturbative improvement and tree-level correction of the quark propagator
• Quark-gluon vertex from lattice QCD
• Quark propagator in the Landau gauge
• Lattice Computations of the Pion Form Factor
• Study of B Decays to Charmonium States $B\to {\eta }_{c}K$ and $B\to {\chi }_{C0}K$
• Facets of confinement and dynamical chiral symmetry breaking
• On the complexion of pseudoscalar mesons
• Pion structure from improved lattice QCD: form factor and charge radius at low masses
• Scaling behavior of the overlap quark propagator in Landau gauge
• Vector mesons in a relativistic point-form approach
• Dynamical Mass Generation in Landau gauge QCD
• DSEs, the pion, and related matters
• Semiperturbative construction for the quark-gluon vertex
• Meson elastic and transition form factors

Cited by in corpus (31)

• Infrared Properties of QCD from Dyson-Schwinger equations
• Aspects of Hadron Physics
• QCD modeling of hadron physics
• Survey of J=0,1 mesons in a Bethe-Salpeter approach
• Nucleon axial and pseudoscalar form factors from the covariant Faddeev equation
• Dynamical chiral symmetry breaking and a critical mass
• Exciting flavored bound states
• Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon
• Mind the gap
• Poincaré-covariant analysis of heavy-quark baryons
• Charmonia in a Contact Interaction
• A covariant view on the nucleons' quark core
• Higgs modulation of emergent mass as revealed in kaon and pion parton distributions
• ${\eta }_c$ Elastic and Transition Form Factors: Contact Interaction and Algebraic Model
• Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors
• Effects of a dressed quark-gluon vertex in vector heavy-light mesons and theory average of B(c)* meson mass
• Analytical properties of the quark propagator from truncated Dyson-Schwinger equation in complex Euclidean space
• Elucidating the effect of intermediate resonances in the quark interaction kernel on the time-like electromagnetic pion form factor
• Hadronic decays of mesons and baryons in the Dyson-Schwinger approach
• Mass spectrum and decay constants of radially excited vector mesons
• Accounting for the analytical properties of the quark propagator from Dyson-Schwinger equation
• On a new approach to meson phenomenology with the Bethe-Salpeter equation
• Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
• SU(3) symmetry breaking in decay constants and electromagnetic properties of pseudoscalar heavy mesons
• Leptonic decays of D-wave vector quarkonia
• Meson spectroscopy and properties using Dyson-Schwinger equations
• Exact-propagator instantaneous Bethe-Salpeter equation for quark-antiquark bound states
• Extending the truncated Dyson-Schwinger equation to finite temperatures
• Pseudo-scalar {\boldm $q\bar{q}$} bound states at finite temperatures within a Dyson-Schwinger--Bethe-Salpeter approach
• S- and D-wave vector charmonia
• Getting a handle on correlation functions