skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Pion and Kaon Valence-quark Parton Quasidistributions

Abstract

Algebraic Ansatze for the Poincare-covariant Bethe-Salpeter wave functions of the pion and kaon arc used to calculate their light-front wave functions, parton distribution amplitudes, parton quasidistribution amplitudes, valence parton distribution functions, and parton quasidistribution functions (PqDFs). The light-front wave functions arc broad, concave functions, and the scale of flavor-symmetry violation in the kaon is roughly 15%, being set by the ratio of emergent masses in the s- and u-quark sectors. Parton quasidistribution amplitudes computed with longitudinal momentum P z = 1.75 GeV provide a semiquantitatively accurate representation of the objective parton distribution amplitude, but even with P z = 3 GeV, they cannot provide information about this amplitude's end point behavior. On the valence-quark domain, similar outcomes characterize PqDFs. Lastly, in this connection, however, the ratio of kaon-to-pion u-quark PqDFs is found to provide a good approximation to the true parton distribution function ratio on 0.4 ≲ x ≲ 0.8, suggesting that with existing resources computations of ratios of parton quasidistributions can yield results that support empirical comparison.

Authors:
 [1];  [2];  [3];  [4]
  1. Nanjing Univ. (China). Dept. of Physics
  2. Nankai Univ., Tianjin (China). School of Physics
  3. Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
  4. Nanjing Univ. (China). Dept. of Physics; Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing (China)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1461490
Alternate Identifier(s):
OSTI ID: 1437330
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Xu, Shu-Sheng, Chang, Lei, Roberts, Craig D., and Zong, Hong-shi. Pion and Kaon Valence-quark Parton Quasidistributions. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.094014.
Xu, Shu-Sheng, Chang, Lei, Roberts, Craig D., & Zong, Hong-shi. Pion and Kaon Valence-quark Parton Quasidistributions. United States. doi:10.1103/PhysRevD.97.094014.
Xu, Shu-Sheng, Chang, Lei, Roberts, Craig D., and Zong, Hong-shi. Wed . "Pion and Kaon Valence-quark Parton Quasidistributions". United States. doi:10.1103/PhysRevD.97.094014. https://www.osti.gov/servlets/purl/1461490.
@article{osti_1461490,
title = {Pion and Kaon Valence-quark Parton Quasidistributions},
author = {Xu, Shu-Sheng and Chang, Lei and Roberts, Craig D. and Zong, Hong-shi},
abstractNote = {Algebraic Ansatze for the Poincare-covariant Bethe-Salpeter wave functions of the pion and kaon arc used to calculate their light-front wave functions, parton distribution amplitudes, parton quasidistribution amplitudes, valence parton distribution functions, and parton quasidistribution functions (PqDFs). The light-front wave functions arc broad, concave functions, and the scale of flavor-symmetry violation in the kaon is roughly 15%, being set by the ratio of emergent masses in the s- and u-quark sectors. Parton quasidistribution amplitudes computed with longitudinal momentum Pz = 1.75 GeV provide a semiquantitatively accurate representation of the objective parton distribution amplitude, but even with Pz = 3 GeV, they cannot provide information about this amplitude's end point behavior. On the valence-quark domain, similar outcomes characterize PqDFs. Lastly, in this connection, however, the ratio of kaon-to-pion u-quark PqDFs is found to provide a good approximation to the true parton distribution function ratio on 0.4 ≲ x ≲ 0.8, suggesting that with existing resources computations of ratios of parton quasidistributions can yield results that support empirical comparison.},
doi = {10.1103/PhysRevD.97.094014},
journal = {Physical Review D},
number = ,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1 FIG. 1: Leading-twist two-dressed-parton light-front wave functions of the pion (upper panel) and kaon (lower panel). Each is normalised such that ∫ dxd2k⊥ψ↑↓(x, k$2\atop{⊥}$) = 1.

Save / Share:

Works referenced in this record:

The pion: an enigma within the Standard Model
journal, May 2016


Natural constraints on the gluon-quark vertex
journal, February 2017


Wide-angle scattering in softened field theory
journal, September 1974


Review of Particle Physics
journal, October 2016


Scaling laws for large-momentum-transfer processes
journal, March 1975


Off-shell persistence of composite pions and kaons
journal, January 2018


Sea Quarks in the Proton
journal, January 2016


Scaling Laws at Large Transverse Momentum
journal, October 1973


Hadronic Spectra and Light-Front Wave Functions in Holographic QCD
journal, May 2006


Measurement of the structure function ratio using the Drell-Yan process
journal, June 1980


The asymptotic behaviour of parton distributions at small and large x
journal, July 2016


From Bethe–Salpeter Wave functions to Generalised Parton Distributions
journal, June 2016


Experimental study of muon pairs produced by 252-GeV pions on tungsten
journal, January 1989

  • Conway, J. S.; Adolphsen, C. E.; Alexander, J. P.
  • Physical Review D, Vol. 39, Issue 1
  • DOI: 10.1103/PhysRevD.39.92

Distribution amplitudes of light-quark mesons from lattice QCD
journal, April 2014


Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front
journal, March 2013


Departures from chiral symmetry
journal, March 1975


Pion structure function from leading neutron electroproduction and SU(2) flavor asymmetry
journal, March 2016


Deep inelastic scattering: Experiments on the proton and the observation of scaling
journal, July 1991


Parton Physics on a Euclidean Lattice
journal, June 2013


Nucleon Structure Functions from Operator Product Expansion on the Lattice
journal, June 2017


Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979


Flavour symmetry breaking in the kaon parton distribution amplitude
journal, November 2014


Pion Electromagnetic Form Factor at Spacelike Momenta
journal, October 2013


Pion distribution amplitude from lattice QCD
journal, May 2017


Reconstructing parton densities at large fractional momenta
journal, January 2017


Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
journal, December 2010


Origin of difference between u ¯ and d ¯ partons in the nucleon
journal, March 1994


Structure of the Goldstone bosons
conference, January 2001

  • Holt, Roy J.
  • PHYSICS WITH AN ELECTRON POLARIZED LIGHT-ION COLLIDER: Second Workshop EPIC 2000, AIP Conference Proceedings
  • DOI: 10.1063/1.1413160

π - and K -meson Bethe-Salpeter amplitudes
journal, December 1997


Sketching the pion's valence-quark generalised parton distribution
journal, February 2015


Perspective on the Origin of Hadron Masses
journal, December 2016


Exclusive processes in perturbative quantum chromodynamics
journal, November 1980


Distribution amplitudes of radially-excited π and K mesons
journal, June 2016


Measurement of the Neutron F 2 Structure Function via Spectator Tagging with CLAS
journal, April 2012


Pseudovector components of the pion, π 0 γ γ , and F π ( q 2 )
journal, December 1998


Partonic structure of neutral pseudoscalars via two photon transition form factors
journal, April 2017


Nonperturbative evolution of parton quasi-distributions
journal, April 2017


Pion parton distribution function in the valence region
journal, December 2005


Pion distribution amplitude and quasidistributions
journal, March 2017


Basic features of the pion valence-quark distribution function
journal, October 2014


Evolved QCD predictions for the meson-photon transition form factors
journal, August 2011


Leading-twist distribution amplitudes of scalar and vector mesons
journal, November 2016


Structure of the neutral pion and its electromagnetic transition form factor
journal, April 2016


A General Survey of the Theory of the Bethe-Salpeter Equation
journal, January 1969

  • Nakanishi, Noboru
  • Progress of Theoretical Physics Supplement, Vol. 43
  • DOI: 10.1143/PTPS.43.1

Quasi-distribution amplitudes for pion and kaon via the nonlocal chiral-quark model
journal, December 2017


Quark Structure Functions of Mesons and the Drell-Yan Process
journal, April 1979


Nucleon and pion distribution functions in the valence region
journal, October 2010


Pion Distribution Amplitude from Lattice QCD
journal, August 2013


Asymptotic freedom in parton language
journal, August 1977


Pion and Nucleon Structure Functions near x = 1
journal, November 1975


Kaon and pion parton distribution amplitudes to twist three
journal, July 2015


Nonperturbative partonic quasidistributions of the pion from chiral quark models
journal, October 2017


Deep inelastic scattering: Comparisons with the quark model
journal, July 1991


Deep inelastic scattering: The early years
journal, July 1991


Valence-quark distribution functions in the kaon and pion
journal, April 2016


Measurement of the Light Antiquark Flavor Asymmetry in the Nucleon Sea
journal, April 1998


Exposing strangeness: Projections for kaon electromagnetic form factors
journal, August 2017


Valence-quark distributions in the pion
journal, January 2001


Factorization and asymptotic behaviour of pion form factor in QCD
journal, July 1980


Bayesian extraction of the parton distribution amplitude from the Bethe–Salpeter wave function
journal, July 2017


    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.