Pion and kaon valence-quark quasiparton distributions

Abstract

Algebraic Ansaetze for the Poincaré-covariant Bethe-Salpeter wave functions of the pion and kaon are used to calculate their light-front wave functions (LFWFs), parton distribution amplitudes (PDAs), quasi-PDAs (qPDAs), valence parton distribution functions (PDFs), and quasi-PDFs (qPDFs). The LFWFs are broad, concave functions; and the scale of flavour-symmetry violation in the kaon is roughly 15%, being set by the ratio of emergent masses in the $s$-and $u$-quark sectors. qPDAs computed with longitudinal momentum $P_z=1.75$GeV provide a semiquantitatively accurate representation of the objective PDA; but even with $P_z=3$GeV, they cannot provide information about this amplitude's endpoint behaviour. On the valence-quark domain, similar outcomes characterise qPDFs. In this connection, however, the ratio of kaon-to-pion $u$-quark qPDFs is found to provide a good approximation to the true PDF ratio on $0.3\lesssim x\lesssim 0.8$, suggesting that with existing resources computations of ratios of quasi-parton-distributions can yield results that support empirical comparison.

10 pages, 8 figures

References in corpus (12)

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• Distribution Functions of the Nucleon and Pion in the Valence Region
• Universality of Generalized Parton Distributions in Light-Front Holographic QCD
• Nonperturbative Evolution of Parton Quasi-Distributions
• Basic features of the pion valence-quark distribution function
• Natural constraints on the gluon-quark vertex
• Nonperturbative partonic quasidistributions of the pion from chiral quark models
• Leading-twist distribution amplitudes of scalar- and vector-mesons
• Reconstructing parton densities at large fractional momenta
• Statistical approach of pion parton distributions from Drell-Yan process
• Valence Quark and Gluon Distributions of Kaon from J/Psi Production

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• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
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• Empirical Consequences of Emergent Mass
• Selected Science Opportunities for the EicC
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• Pion and Kaon Distribution Amplitudes in the Continuum Limit
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• Contact interaction analysis of pion GTMDs
• Higgs modulation of emergent mass as revealed in kaon and pion parton distributions
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• Measures of pion and kaon structure from generalised parton distributions
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• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
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• Spatial and Momentum Imaging of the Pion and Kaon
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• Tomography of light mesons in light-cone quark model
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• Quasi parton distribution function and quasi generalized parton distribution of the pion meson in a spectator model
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• Empirical Determination of the Pion Mass Distribution
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• Renormalon Effects in Quasi Parton Distributions
• T-odd generalized and quasi transverse momentum dependent parton distribution in a scalar spectator model
• Matching the B-meson quasidistribution amplitude in the RI/MOM scheme
• Chiral Perturbation for Large Momentum Effective Field Theory
• Light-front Wave Functions of Vector Mesons in an Algebraic Model
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Revealing pion and kaon structure via generalised parton distributions
• The quark quasi Sivers function and quasi Boer-Mulders function in a spectator diquark model
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
• One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme
• Ground state pseudoscalar mesons on the light front: from the light to heavy sector
• Pion GPDs: A path toward phenomenology