Parton distribution amplitudes of light vector mesons

Abstract

A rainbow-ladder truncation of QCD's Dyson-Schwinger equations is used to calculate rho- and phi-meson valence-quark (twist-two parton) distribution amplitudes (PDAs) via a light-front projection of their Bethe-Salpeter wave functions, which possess S- and D-wave components of comparable size in the meson rest frame. All computed PDAs are broad concave functions, whose dilation with respect to the asymptotic distribution is an expression of dynamical chiral symmetry breaking. The PDAs can be used to define an ordering of valence-quark light-front spatial-extent within mesons: this size is smallest within the pion and increases through the perp-polarisation to the parallel-polarisation of the vector mesons; effects associated with the breaking of SU(3)-flavour symmetry are significantly smaller than those associated with altering the polarisation of vector mesons. Notably, the predicted pointwise behaviour of the rho-meson PDAs is in quantitative agreement with that inferred recently via an analysis of diffractive vector-meson photoproduction experiments.

13 pages, 4 figures, 4 tables

References in corpus (12)

• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Sketching the Bethe-Salpeter kernel
• Hadron Properties and Dyson-Schwinger Equations
• Dressed-quark anomalous magnetic moments
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Gauge invariance of a critical number of flavours in QED3
• Mind the gap
• Predicting $B->\rho \gamma$ and $B_s->\rho \gamma$ using holographic AdS/QCD Distribution Amplitudes for the $\rho$ meson
• Extracting the rho meson wavefunction from HERA data

Cited by in corpus (12)

• Spectrum of light- and heavy-baryons
• Elastic electromagnetic form factors of vector mesons
• Nucleon tensor charges and electric dipole moments
• Parity partners in the baryon resonance spectrum
• Proton and pion distribution functions in counterpoint
• Pion-photon transition form factor in LCSR and tests of asymptotics
• Leading-twist distribution amplitudes of scalar- and vector-mesons
• The $\rho$-meson longitudinal leading-twist distribution amplitude within QCD background field theory
• Quark anomalous magnetic moment and its effects on the $\rho$ meson properties
• Distribution amplitudes of light diquarks
• $D^{\ast }$ and $D_s^{\ast }$ distribution amplitudes from Bethe-Salpeter wave functions
• Re-examination of the rare decay $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ using holographic light-front QCD