Pion Valence-quark Parton Distribution Function

Abstract

Within the Dyson-Schwinger equation formulation of QCD, a rainbow ladder truncation is used to calculate the pion valence-quark distribution function(PDF). The gap equation is renormalized at a typical hadronic scale, of order 0.5GeV, which is also set as the default initial scale for the pion PDF. We implement a corrected leading-order expression for the PDF which ensures that the valence-quarks carry all of the pion's light-front momentum at the initial scale. The scaling behavior of the pion PDF at a typical partonic scale of order 5.2GeV is found to be $(1-x{)}^{\nu }$, with $\nu \simeq 1.6$, as $x$ approaches one.

5 pages, 2 figures

References in corpus (8)

• Parton Physics on Euclidean Lattice
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Pion electromagnetic form factor at spacelike momenta
• Basic features of the pion valence-quark distribution function
• Pion and kaon valence-quark parton distribution functions
• Parton distribution amplitudes of light vector mesons

Cited by in corpus (18)

• Parton Distribution Functions of the Charged Pion Within The xFitter Framework
• Flavour dependence of the pion and kaon form factors and parton distribution functions
• Distinguishing Quarks and Gluons in Pion and Kaon PDFs
• Gluon Parton Distribution of the Pion from Lattice QCD
• Two Photon Transition Form Factor of $\bar{c}c$ Quarkonia
• Hadron structure functions at small $x$ from string theory
• Pion Valence Quark Distributions from Maximum Entropy Method
• Constraining gluon density of pions at large $x$ by pion-induced $J/\psi$ production
• Deep inelastic scattering cross sections from the gauge/string duality
• Gluon PDF from Quark dressing in the Nucleon and Pion
• Fixed-target charmonium production and pion parton distributions
• Deep inelastic scattering off scalar mesons in the 1/N expansion from the D3D7-brane system
• Simulation of the neutron-tagged deep inelastic scattering at EicC
• Parton Decomposition of Nucleon Spin and Momentum: Gluons from Dressed Quarks
• Gluon distributions and mass decompositions of the pion and kaon
• Parton Distribution Functions for Pseudoscalar Mesons in the COnfining Effective Chiral Quark Theory
• Searching for $a_0(980)$-meson parton distribution function
• Pion generalized parton distributions at zero skewness