Masses and electroweak properties of light mesons in the relativistic quark model

Abstract

The masses, pseudoscalar and vector weak decay constants and electromagnetic form factors of light S-wave mesons are studied in the framework of the relativistic quark model based on the quasipotential approach. We use the same model assumptions and parameters as in our previous investigations of heavy meson and baryon properties. The masses and wave functions of the ground state and radially excited pi, rho, K, K* and phi mesons, obtained by solving numerically the relativistic Schroedinger-like equation with the complete relativistic q bar q potential including both spin-independent and spin-dependent terms, are presented. Novel relativistic expressions for the weak decay constants of the pseudoscalar and vector mesons are derived. It is shown that the intermediate negative-energy quark states give significant contributions which essentially decrease the decay constants bringing them in agreement with experimental data. The electromagnetic form factors of the pion, charged and neutral kaon are calculated in a broad range of the space-like momentum transfer. The corresponding charge radii are determined. All results agree well with available experimental data.

arXiv comment19 pages, 7 figures, version to be published in Eur.Phys.J.C

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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
• Pseudoscalar mesons with symmetric bound state vertex functions on the light front
• The K-meson form factor and charge radius: linking low-energy data to future high-energy Jefferson Laboratory results
• Exploring the flavor content of light and heavy-light pseudoscalars
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• Spectroscopic parameters and electromagnetic form factor of kaon in vacuum and a dense medium
• Space-and Time-like Electromagnetic Kaon Form Factors
• Following Gluonic World Lines to Find the QCD Coupling in the Infrared
• Baryon Spectrum Analysis using Dirac's Covariant Constraint Dynamics
• K0 and K+ meson electromagnetic form factors: a nonperturbative relativistic quark model versus experimental, perturbative and lattice Quantum-Chromodynamics results
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