Relativistic treatment of the decay constants of light and heavy mesons

Abstract

Novel relativistic expressions are used to calculate the weak decay constants of pseudoscalar and vector mesons within the constituent quark model. Meson wave functions satisfy the quasipotential equation with the complete relativistic potential. New contributions, coming from the negative-energy quark states, are substantial for the light mesons, significantly decrease the values of their decay constants and, thus, bring them into agreement with experiment. For heavy-light mesons these contribution are much less pronounced, but permit to reduce uncertainties of the predicted decay constants. Their values agree with the results of lattice calculations and experimental data.

arXiv comment9 pages, 1 figure, minor changes, version published in Phys.Lett.B

References in corpus (24)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Dyson-Schwinger equations: a tool for hadron physics
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• High-Precision Lattice QCD Confronts Experiment
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• Mass spectrum of orbitally and radially excited heavy-light mesons in the relativistic quark model
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• The B Meson Decay Constant from Unquenched Lattice QCD
• Masses of heavy baryons in the relativistic quark model
• Charmed meson decay constants in three-flavor lattice QCD
• f_B and f_B_s from QCD sum rules
• Improved Measurement of cal{B}(D^+ --> mu^+ nu) and the Pseudoscalar Decay Constant f_{D^+}
• Decay Constants of Heavy Meson of $0^{-}$ State in Relativistic Salpeter Method
• Heavy-Light Meson Decay Constant from QCD Sum Rules in Three-Loop Approximation
• c,b quark masses and f_D_(s), f_B_(s) decay constants from pseudoscalar sum rules in full QCD to order alpha_s^2
• Semileptonic decays of doubly heavy baryons in the relativistic quark model
• A Relativistic Quark Model for Mesons with an Instanton-Induced Interaction
• B meson decay constant from two-flavor lattice QCD with non-relativistic heavy quarks
• Pseudoscalar Decay Constants $f_D$ and $f_{D_s}$ in Lattice QCD with Exact Chiral Symmetry
• Decay constants of heavy-light mesons in the relativistic quark model
• Masses of light mesons in the relativistic quark model
• Electroweak properties of the $\pi$, $K$ and $K^{\ast }(892)$ in the three forms of relativistic kinematics

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