Pion and kaon valence quark distribution functions from Dyson-Schwinger equations
Abstract
Using realistic quark propagators and meson Bethe-Salpeter amplitudes based on the Dyson-Schwinger equations, we calculate the pion and kaon's valence parton distribution functions (PDF) through the modified impulse approximation. The PDFs we obtained at hadronic scale have the purely valence characteristic and exhibit both dynamical chiral symmetry breaking and SU(3) flavor symmetry breaking effects. A new calculation technique is introduced to determine the valence PDFs with precision. Through next-to-leading order (NLO) evolution, our result is compared with pion and kaon valence PDF data at experimental scale. Good agreement is found in the case of pion, while deviation emerges for kaon. We point out this situation can potentially be resolved by incorporating gluon contributions into the mesons if the pion hosts more gluons than kaon nonperturbatively.
- Authors:
-
- Argonne National Lab. (ANL), Argonne, IL (United States)
- National Inst. of Nuclear Physics (INFN), Rome (Italy)
- Nanjing Univ., Jiangsu (China); Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing (China)
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- National Natural Science Foundation of China (NSFC); USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1477738
- Alternate Identifier(s):
- OSTI ID: 1473724
- Grant/Contract Number:
- AC02-06CH11357; 2016-098-N0; 2017-058-N0
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Shi, Chao, Mezrag, Cédric, and Zong, Hong-shi. Pion and kaon valence quark distribution functions from Dyson-Schwinger equations. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.054029.
Shi, Chao, Mezrag, Cédric, & Zong, Hong-shi. Pion and kaon valence quark distribution functions from Dyson-Schwinger equations. United States. https://doi.org/10.1103/PhysRevD.98.054029
Shi, Chao, Mezrag, Cédric, and Zong, Hong-shi. Tue .
"Pion and kaon valence quark distribution functions from Dyson-Schwinger equations". United States. https://doi.org/10.1103/PhysRevD.98.054029. https://www.osti.gov/servlets/purl/1477738.
@article{osti_1477738,
title = {Pion and kaon valence quark distribution functions from Dyson-Schwinger equations},
author = {Shi, Chao and Mezrag, Cédric and Zong, Hong-shi},
abstractNote = {Using realistic quark propagators and meson Bethe-Salpeter amplitudes based on the Dyson-Schwinger equations, we calculate the pion and kaon's valence parton distribution functions (PDF) through the modified impulse approximation. The PDFs we obtained at hadronic scale have the purely valence characteristic and exhibit both dynamical chiral symmetry breaking and SU(3) flavor symmetry breaking effects. A new calculation technique is introduced to determine the valence PDFs with precision. Through next-to-leading order (NLO) evolution, our result is compared with pion and kaon valence PDF data at experimental scale. Good agreement is found in the case of pion, while deviation emerges for kaon. We point out this situation can potentially be resolved by incorporating gluon contributions into the mesons if the pion hosts more gluons than kaon nonperturbatively.},
doi = {10.1103/PhysRevD.98.054029},
journal = {Physical Review D},
number = 5,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 20 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
FIG. 1: The pion and kaon PDF at $μ$0 = 520 MeV. The solid black line depict $u$$π$($x$, $μ$0) from our calculation, with blue dotted curve for $u$$K$($x$, $μ$0) and red dashed curve for $s̄$$K$($x$, $μ$0). The gray dot-dashed curve, i.e., Eq. (13), is obtained with algebraic model in [15].more »
All figures and tables
(5 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Leading neutron production in e+p collisions at HERA
journal, August 2002
- Chekanov, S.; Krakauer, D.; Magill, S.
- Nuclear Physics B, Vol. 637, Issue 1-3
Lattice calculation of parton distributions
journal, July 2015
- Alexandrou, Constantia; Cichy, Krzysztof; Drach, Vincent
- Physical Review D, Vol. 92, Issue 1
Exclusive processes in perturbative quantum chromodynamics
journal, November 1980
- Lepage, G. Peter; Brodsky, Stanley J.
- Physical Review D, Vol. 22, Issue 9
Conformal invariance and pion wave functions of nonleading twist
journal, June 1990
- Braun, V. M.; Filyanov, I. B.
- Zeitschrift f�r Physik C Particles and Fields, Vol. 48, Issue 2
Structure functions of pseudoscalar mesons in the SU(3) NJL model
journal, March 1995
- Davidson, R. M.; Ruiz Arriola, E.
- Physics Letters B, Vol. 348, Issue 1-2
A limit on the pionic component of the nucleon through SU(3) flavour breaking in the sea
journal, June 1983
- Thomas, A. W.
- Physics Letters B, Vol. 126, Issue 1-2
Off-shell persistence of composite pions and kaons
journal, January 2018
- Qin, Si-Xue; Chen, Chen; Mezrag, Cédric
- Physical Review C, Vol. 97, Issue 1
Pion parton distribution function in the valence region
journal, December 2005
- Wijesooriya, K.; Reimer, P. E.; Holt, R. J.
- Physical Review C, Vol. 72, Issue 6
Factorization of large-x quark distributions in a hadron
journal, March 2005
- Ji, Xiangdong; Ma, Jian-Ping; Yuan, Feng
- Physics Letters B, Vol. 610, Issue 3-4
Basic features of the pion valence-quark distribution function
journal, October 2014
- Chang, Lei; Mezrag, Cédric; Moutarde, Hervé
- Physics Letters B, Vol. 737
Pionic parton distributions revisited
journal, September 1999
- Glück, M.; Reya, E.; Schienbein, I.
- The European Physical Journal C, Vol. 10, Issue 2
Lattice QCD exploration of parton pseudo-distribution functions
journal, November 2017
- Orginos, Kostas; Radyushkin, Anatoly; Karpie, Joseph
- Physical Review D, Vol. 96, Issue 9
Chiral constituent quarks and their role in quark distribution functions of nucleon and pion
journal, May 1998
- Suzuki, K.; Weise, W.
- Nuclear Physics A, Vol. 634, Issue 1-2
Tracing masses of ground-state light-quark mesons
journal, May 2012
- Chang, Lei; Roberts, Craig D.
- Physical Review C, Vol. 85, Issue 5
Sketching the Bethe-Salpeter Kernel
journal, August 2009
- Chang, Lei; Roberts, Craig D.
- Physical Review Letters, Vol. 103, Issue 8
Pion light-cone wave function and pion distribution amplitude in the Nambu–Jona-Lasinio model
journal, November 2002
- Arriola, Enrique Ruiz; Broniowski, Wojciech
- Physical Review D, Vol. 66, Issue 9
Parton distributions for the LHC
journal, July 2009
- Martin, A. D.; Stirling, W. J.; Thorne, R. S.
- The European Physical Journal C, Vol. 63, Issue 2
Measurement of the structure function ratio using the Drell-Yan process
journal, June 1980
- Badier, J.; Boucrot, J.; Bourotte, J.
- Physics Letters B, Vol. 93, Issue 3
Pion Distribution Amplitude from Lattice QCD
journal, August 2013
- Cloët, I. C.; Chang, L.; Roberts, C. D.
- Physical Review Letters, Vol. 111, Issue 9
Parton distribution functions in the pion from lattice QCD
journal, August 2003
- Detmold, W.; Melnitchouk, W.; Thomas, A. W.
- Physical Review D, Vol. 68, Issue 3
Parton distribution amplitudes of light vector mesons
journal, July 2014
- Gao, Fei; Chang, Lei; Liu, Yu-Xin
- Physical Review D, Vol. 90, Issue 1
Pion and kaon valence-quark parton distribution functions
journal, June 2011
- Nguyen, Trang; Bashir, Adnan; Roberts, Craig D.
- Physical Review C, Vol. 83, Issue 6
A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
journal, May 2018
- Chouika, N.; Mezrag, C.; Moutarde, H.
- Physics Letters B, Vol. 780
Parton distributions for the pion extracted from Drell-Yan and prompt photon experiments
journal, April 1992
- Sutton, P. J.; Martin, A. D.; Roberts, R. G.
- Physical Review D, Vol. 45, Issue 7
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
From Bethe–Salpeter Wave functions to Generalised Parton Distributions
journal, June 2016
- Mezrag, C.; Moutarde, H.; Rodríguez-Quintero, J.
- Few-Body Systems, Vol. 57, Issue 9
Valence-quark distribution functions in the kaon and pion
journal, April 2016
- Chen, Chen; Chang, Lei; Roberts, Craig D.
- Physical Review D, Vol. 93, Issue 7
Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front
journal, March 2013
- Chang, Lei; Cloët, I. C.; Cobos-Martinez, J. J.
- Physical Review Letters, Vol. 110, Issue 13
Pion mass and decay constant
journal, February 1998
- Maris, Pieter; Roberts, Craig D.; Tandy, Peter C.
- Physics Letters B, Vol. 420, Issue 3-4
Measurement of leading proton and neutron production in deep-inelastic scattering at HERA
journal, January 1999
- Adloff et al., C.
- The European Physical Journal C, Vol. 6, Issue 4
Valence-quark distributions in the pion
journal, January 2001
- Hecht, M. B.; Roberts, C. D.; Schmidt, S. M.
- Physical Review C, Vol. 63, Issue 2
QCDNUM: Fast QCD evolution and convolution
journal, February 2011
- Botje, M.
- Computer Physics Communications, Vol. 182, Issue 2
Parton Physics on a Euclidean Lattice
journal, June 2013
- Ji, Xiangdong
- Physical Review Letters, Vol. 110, Issue 26
Pion and kaon valence-quark parton quasidistributions
journal, May 2018
- Xu, Shu-Sheng; Chang, Lei; Roberts, Craig D.
- Physical Review D, Vol. 97, Issue 9
Meson cloud effects on the pion quark distribution function in the chiral constituent quark model
journal, December 2016
- Watanabe, Akira; Kao, Chung Wen; Suzuki, Katsuhiko
- Physical Review D, Vol. 94, Issue 11
Flavor dependence of the pion and kaon form factors and parton distribution functions
journal, September 2016
- Hutauruk, Parada T. P.; Cloët, Ian C.; Thomas, Anthony W.
- Physical Review C, Vol. 94, Issue 3
NJL model on the light cone and pion structure function
journal, May 1999
- Bentz, W.; Hama, T.; Matsuki, T.
- Nuclear Physics A, Vol. 651, Issue 2
Scale dependence of hadronic wave functions and parton densities
journal, October 2002
- Burkardt, Matthias; Ji, Xiangdong; Yuan, Feng
- Physics Letters B, Vol. 545, Issue 3-4
Parton distribution amplitudes: Revealing correlations within the proton and Roper
journal, August 2018
- Mezrag, Cédric; Segovia, Jorge; Chang, Lei
- Physics Letters B, Vol. 783
Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016
- Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong
- Nuclear Physics B, Vol. 911
Light-Cone Parton Distribution Functions from Lattice QCD
journal, September 2018
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review Letters, Vol. 121, Issue 11
Flavour symmetry breaking in the kaon parton distribution amplitude
journal, November 2014
- Shi, Chao; Chang, Lei; Roberts, Craig D.
- Physics Letters B, Vol. 738
Pion distribution amplitude from lattice QCD
journal, May 2017
- Zhang, Jian-Hui; Chen, Jiunn-Wei; Ji, Xiangdong
- Physical Review D, Vol. 95, Issue 9
Experimental determination of the π meson structure functions by the Drell-Yan mechanism
journal, December 1983
- Badier, J.; Boucrot, J.; Bourotte, J.
- Zeitschrift für Physik C Particles and Fields, Vol. 18, Issue 4
Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
journal, December 2010
- Aicher, Matthias; Schäfer, Andreas; Vogelsang, Werner
- Physical Review Letters, Vol. 105, Issue 25
Nucleon helicity and transversity parton distributions from lattice QCD
text, January 2016
- Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong
- Universität Regensburg
Measurement of leading proton and neutron production in deep-inelastic scattering at HERA
journal, January 1999
- Adloff et al., C.
- The European Physical Journal C, Vol. 6, Issue 4
Scale Dependence of Hadronic wave Functions and Parton Densities
conference, November 2011
- Yuan, Feng; Burkardt, Matthias; Ji, Xiangdong
- Exclusive Processes at High Momentum Transfer
Parton distributions for the LHC
text, January 2007
- Thorne, R. S.; Martin, A. D.; Stirling, W. J.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Light-Cone Parton Distribution Functions from Lattice QCD
text, January 2018
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Pion distribution amplitude from lattice QCD
text, January 2017
- Zhang, Jian-Hui; Chen, Jiunn-Wei; Ji, Xiangdong
- Universität Regensburg
Parton distributions for the LHC
text, January 2009
- Martin, A. D.; Stirling, W. J.; Thorne, R. S.
- arXiv
Pion and kaon valence-quark parton distribution functions
text, January 2011
- Nguyen, Trang; Bashir, Adnan; Roberts, Craig D.
- arXiv
Imaging dynamical chiral symmetry breaking: pion wave function on the light front
text, January 2013
- Chang, Lei; Cloet, I. C.; Cobos-Martinez, J. J.
- arXiv
Pion distribution amplitude from lattice-QCD
text, January 2013
- Cloët, I. C.; Chang, L.; Roberts, C. D.
- arXiv
Parton distribution amplitudes of light vector mesons
text, January 2014
- Gao, Fei; Chang, Lei; Liu, Yu-Xin
- arXiv
Basic features of the pion valence-quark distribution function
text, January 2014
- Chang, Lei; Mezrag, Cédric; Moutarde, Hervé
- arXiv
Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
text, January 2016
- Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong
- arXiv
Meson cloud effects on the pion quark distribution function in the chiral constituent quark model
text, January 2016
- Watanabe, Akira; Kao, Chung Wen; Suzuki, Katsuhiko
- arXiv
Pion Distribution Amplitude from Lattice QCD
text, January 2017
- Zhang, Jian-Hui; Chen, Jiunn-Wei; Ji, Xiangdong
- arXiv
Parton distribution functions in the pion from lattice QCD
text, January 2003
- Detmold, W.; Melnitchouk, W.; Thomas, A. W.
- arXiv
Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
text, January 2002
- Arriola, Enrique Ruiz; Broniowski, Wojciech
- arXiv
Factorization of Large-x Quark Distributions in a Hadron
text, January 2004
- Ji, Xiangdong; Ma, Jian-Ping; Yuan, Feng
- arXiv
Chiral Constituent quarks and their role in quark distribution functions of nucleon and pion
text, January 1997
- Suzuki, K.; Weise, W.
- arXiv
NJL model on the light cone and pion structure function
text, January 1999
- Bentz, W.; Hama, T.; Matsuki, T.
- arXiv
Works referencing / citing this record:
Intrinsic Transverse Motion of the Pion's Valence Quarks
text, January 2018
- Shi, Chao; Cloët, Ian C.
- arXiv
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.