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Title: Pion and Kaon Valence-quark Parton Quasidistributions

Journal Article · · Physical Review D
 [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)

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.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1461490
Alternate ID(s):
OSTI ID: 1437330
Journal Information:
Physical Review D, Vol. 97; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 46 works
Citation information provided by
Web of Science

References (82)

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
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
Publisher's Note: Measurement of the structure function of the nearly free neutron using spectator tagging in inelastic H 2 ( e , e p s ) X scattering with CLAS [Phys. Rev. C 89 , 045206 (2014)] journal November 2014
Hadronic Spectra and Light-Front Wave Functions in Holographic QCD journal May 2006
Perspectives on Higgs Physics II book November 1997
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
Publisher’s Note: Measurement of the Neutron F 2 Structure Function via Spectator Tagging with CLAS [Phys. Rev. Lett. 108 , 142001 (2012)] journal May 2012
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
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
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
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
Measurement of the structure function of the nearly free neutron using spectator tagging in inelastic H 2 ( e , e p s ) X scattering with CLAS journal April 2014
Pion structure function from leading neutron electroproduction and SU(2) flavor asymmetry text January 2016
Review of Particle Physics text January 2008
Nucleon Structure Functions from Operator Product Expansion on the Lattice text January 2017
Review of Particle Physics text January 2018
Pion distribution amplitude from lattice QCD text January 2017
Review of Particle Physics text January 2012
Evolved QCD predictions for the meson-photon transition form factors text January 2011
Imaging dynamical chiral symmetry breaking: pion wave function on the light front text January 2013
Parton Physics on Euclidean Lattice text January 2013
Pion distribution amplitude from lattice-QCD text January 2013
Distribution amplitudes of light-quark mesons from lattice QCD text January 2013
Basic features of the pion valence-quark distribution function text January 2014
Pion structure function from leading neutron electroproduction and SU(2) flavor asymmetry text January 2015
The asymptotic behaviour of parton distributions at small and large $x$ text January 2016
Distribution amplitudes of radially-excited pi- and K-mesons text January 2016
Natural constraints on the gluon-quark vertex text January 2016
Pion Distribution Amplitude and Quasi-Distributions text January 2017
Pion Distribution Amplitude from Lattice QCD text January 2017
Nonperturbative partonic quasidistributions of the pion from chiral quark models text January 2017

Cited By (7)

Drawing insights from pion parton distributions journal March 2020
Pion and kaon structure at the electron-ion collider journal October 2019
Complete matching for quasidistribution functions in large momentum effective theory text January 2019
Pion and kaon valence quark distribution functions from Dyson-Schwinger equations text January 2018
Symmetry, symmetry breaking, and pion parton distributions text January 2019
Pion and Kaon Structure at the Electron-Ion Collider text January 2019
Matching generalized parton quasidistributions in the RI/MOM scheme text January 2019

Figures / Tables (8)


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