Flavor symmetry breaking in the Δ sea

Ethier, J. J.; Melnitchouk, W.; Steffens, Fernanda; Thomas, A. W.

doi:10.1103/PhysRevD.100.034014

Title: Flavor symmetry breaking in the $Δ$ sea

Abstract

The finding of a sizeable asymmetry in the $$\bar u$$ and $$\bar d$$ distributions in the proton was one of the more consequential experimental findings in hadron physics last century. Although widely believed to be related to the fundamental role of chiral symmetry in QCD, a definitive verification of this hypothesis has remained elusive. We introduce a novel test of the role of chiral symmetry in generating the sea flavor asymmetry by comparing the $$\bar d-\bar u$$ content in the proton with that in the $$\Delta^+$$ baryon, where a significant enhancement is expected around the opening of the $$N \pi$$ decay channel. Recent developments in lattice QCD suggest a promising way to test this prediction in the near future.

Authors:: Ethier, J. J.; Melnitchouk, W.; Steffens, Fernanda; Thomas, A. W.

Publication Date:: Thu Aug 01 00:00:00 EDT 2019

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE; Netherlands Organization for Scientific Research (NWO); German Research Foundation (DFG)

OSTI Identifier:: 1556840

Alternate Identifier(s):: OSTI ID: 1557625

Report Number(s):: JLAB-THY-18-2806; DOE/OR/-23177-4542; arXiv:1809.06885
Journal ID: ISSN 2470-0010; PRVDAQ; 034014

Grant/Contract Number:: AC05-06OR23177; CE110001104; DP150103164; 392578569

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 100 Journal Issue: 3; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Ethier, J. J., Melnitchouk, W., Steffens, Fernanda, and Thomas, A. W. Flavor symmetry breaking in the Δ sea.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.034014.

Copy to clipboard


                    Ethier, J. J., Melnitchouk, W., Steffens, Fernanda, & Thomas, A. W. Flavor symmetry breaking in the Δ sea.  United States.  https://doi.org/10.1103/PhysRevD.100.034014

Copy to clipboard


                    Ethier, J. J., Melnitchouk, W., Steffens, Fernanda, and Thomas, A. W. Thu .  
"Flavor symmetry breaking in the Δ sea".  United States.  https://doi.org/10.1103/PhysRevD.100.034014.

Copy to clipboard


                    
@article{osti_1556840,

  title        = {Flavor symmetry breaking in the Δ sea},

  author       = {Ethier, J. J. and Melnitchouk, W. and Steffens, Fernanda and Thomas, A. W.},

  abstractNote = {The finding of a sizeable asymmetry in the $\bar u$ and $\bar d$ distributions in the proton was one of the more consequential experimental findings in hadron physics last century. Although widely believed to be related to the fundamental role of chiral symmetry in QCD, a definitive verification of this hypothesis has remained elusive. We introduce a novel test of the role of chiral symmetry in generating the sea flavor asymmetry by comparing the $\bar d-\bar u$ content in the proton with that in the $\Delta^+$ baryon, where a significant enhancement is expected around the opening of the $N \pi$ decay channel. Recent developments in lattice QCD suggest a promising way to test this prediction in the near future.},

  doi          = {10.1103/PhysRevD.100.034014},

  journal      = {Physical Review. D.},

  number       = 3,

  volume       = 100,

  place        = {United States},

  year         = {Thu Aug 01 00:00:00 EDT 2019},

  month        = {Thu Aug 01 00:00:00 EDT 2019}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.100.034014

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 3 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Gottfried sum rule and the shape ofF 2 ? -F 2 ?
journal, March 1991

Melnitchouk, W.; Thomas, A. W.; Signal, A. I.
Zeitschrift f�r Physik A: Hadrons and Nuclei, Vol. 340, Issue 1
DOI: 10.1007/BF01284484

Chiral aspects of hadron structure
journal, May 2000

Thomas, A. W.; Krein, G.
Physics Letters B, Vol. 481, Issue 1
DOI: 10.1016/S0370-2693(00)00426-3

Dynamical Symmetry Breaking in the Sea of the Nucleon
journal, October 2000

Thomas, A. W.; Melnitchouk, W.; Steffens, F. M.
Physical Review Letters, Vol. 85, Issue 14
DOI: 10.1103/PhysRevLett.85.2892

Origin of SU(2)-flavor-symmetry breaking in antiquark distributions
journal, August 1991

Kumano, S.; Londergan, J. T.
Physical Review D, Vol. 44, Issue 3
DOI: 10.1103/PhysRevD.44.717

Chiral extrapolation of hadronic observables
journal, May 2003

Thomas, A. W.
Nuclear Physics B - Proceedings Supplements, Vol. 119
DOI: 10.1016/S0920-5632(03)01492-0

Extraction of Parton Distributions from Lattice qcd
journal, December 2003

Detmold, W.; Melnitchouk, W.; Thomas, A. W.
Modern Physics Letters A, Vol. 18, Issue 38
DOI: 10.1142/S0217732303012209

Factorization theorem relating Euclidean and light-cone parton distributions
journal, September 2018

Izubuchi, Taku; Ji, Xiangdong; Jin, Luchang
Physical Review D, Vol. 98, Issue 5
DOI: 10.1103/PhysRevD.98.056004

Gottfried sum from the ratio $F_{2}^{n}$ / $F_{2}^{p}$
journal, May 1991

Amaudruz, P.; Arneodo, M.; Arvidson, A.
Physical Review Letters, Vol. 66, Issue 21
DOI: 10.1103/PhysRevLett.66.2712

Nonperturbative Renormalization of Nonlocal Quark Bilinears for Parton Quasidistribution Functions on the Lattice Using an Auxiliary Field
journal, July 2018

Green, Jeremy; Jansen, Karl; Steffens, Fernanda
Physical Review Letters, Vol. 121, Issue 2
DOI: 10.1103/PhysRevLett.121.022004

Strange-quark asymmetry in the proton in chiral effective theory
journal, November 2016

Wang, X. G.; Ji, Chueng-Ryong; Melnitchouk, W.
Physical Review D, Vol. 94, Issue 9
DOI: 10.1103/PhysRevD.94.094035

Study of the isospin symmetry breaking in the light quark sea of the nucleon from the Drell-Yan process
journal, July 1994

Baldit, A.; Barrière, C.; Castor, J.
Physics Letters B, Vol. 332, Issue 1-2
DOI: 10.1016/0370-2693(94)90884-2

Leading Chiral Contributions to the Spin Structure of the Proton
journal, January 2002

Chen, Jiunn-Wei; Ji, Xiangdong
Physical Review Letters, Vol. 88, Issue 5
DOI: 10.1103/PhysRevLett.88.052003

Convergence of chiral effective field theory
journal, January 2003

Young, R. D.; Leinweber, D. B.; Thomas, A. W.
Progress in Particle and Nuclear Physics, Vol. 50, Issue 2
DOI: 10.1016/S0146-6410(03)00034-6

Erratum: Pionic corrections to the MIT bag model: The (3,3) resonance
journal, May 1981

Therberge, S.; Thomas, A. W.; Miller, Gerald A.
Physical Review D, Vol. 23, Issue 9
DOI: 10.1103/PhysRevD.23.2106.2

$\bar{d} - \bar{u}$ Asymmetry in the Proton in Chiral Effective Theory
journal, March 2015

Salamu, Yusupujiang; Ji, Chueng-Ryong; Melnitchouk, W.
Physical Review Letters, Vol. 114, Issue 12
DOI: 10.1103/PhysRevLett.114.122001

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
DOI: 10.1103/PhysRevD.68.034025

Pion structure function at small $x$ from deep-inelastic scattering data
journal, June 2012

Kopeliovich, B. Z.; Potashnikova, I. K.; Povh, B.
Physical Review D, Vol. 85, Issue 11
DOI: 10.1103/PhysRevD.85.114025

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
DOI: 10.1103/PhysRevD.45.2349

Chiral corrections to matrix elements of twist-2 operators
journal, January 2002

Arndt, Daniel; Savage, Martin J.
Nuclear Physics A, Vol. 697, Issue 1-2
DOI: 10.1016/S0375-9474(01)01223-4

Parton distributions from nonlocal chiral SU(3) effective theory: Splitting functions
journal, January 2019

Salamu, Y.; Ji, Chueng-Ryong; Melnitchouk, W.
Physical Review D, Vol. 99, Issue 1
DOI: 10.1103/PhysRevD.99.014041

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

McKenney, J. R.; Sato, Nobuo; Melnitchouk, W.
Physical Review D, Vol. 93, Issue 5
DOI: 10.1103/PhysRevD.93.054011

Parton Physics on a Euclidean Lattice
journal, June 2013

Ji, Xiangdong
Physical Review Letters, Vol. 110, Issue 26
DOI: 10.1103/PhysRevLett.110.262002

One-loop matching for parton distributions: Nonsinglet case
journal, July 2014

Xiong, Xiaonu; Ji, Xiangdong; Zhang, Jian-Hui
Physical Review D, Vol. 90, Issue 1
DOI: 10.1103/PhysRevD.90.014051

$π$ and $ρ$ structure functions from lattice QCD
journal, September 1997

Best, C.; Göckeler, M.; Horsley, R.
Physical Review D, Vol. 56, Issue 5
DOI: 10.1103/PhysRevD.56.2743

Excess of over in the proton sea quark distribution
journal, November 1990

Henley, E. M.; Miller, G. A.
Physics Letters B, Vol. 251, Issue 3
DOI: 10.1016/0370-2693(90)90735-O

Light-Cone Parton Distribution Functions from Lattice QCD
journal, September 2018

Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
Physical Review Letters, Vol. 121, Issue 11
DOI: 10.1103/PhysRevLett.121.112001

Large-Nc quark distributions in the delta and chiral logarithms in quark distributions of the nucleon
journal, December 2001

Chen, Jiunn-Wei; Ji, Xiangdong
Physics Letters B, Vol. 523, Issue 1-2
DOI: 10.1016/S0370-2693(01)01340-5

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
DOI: 10.1103/PhysRevLett.105.252003

Theory of Deep-Inelastic Lepton-Nucleon Scattering and Lepton Pair Annihilation Processes. II. Deep-Inelastic Electron Scattering
journal, February 1970

Drell, Sidney D.; Levy, Donald J.; Yan, Tung-Mow
Physical Review D, Vol. 1, Issue 4
DOI: 10.1103/PhysRevD.1.1035

Baryon masses from lattice QCD: Beyond the perturbative chiral regime
journal, February 2000

Leinweber, Derek B.; Thomas, Anthony W.; Tsushima, Kazuo
Physical Review D, Vol. 61, Issue 7
DOI: 10.1103/PhysRevD.61.074502

Lattice calculation of parton distributions
journal, July 2015

Alexandrou, Constantia; Cichy, Krzysztof; Drach, Vincent
Physical Review D, Vol. 92, Issue 1
DOI: 10.1103/PhysRevD.92.014502

Power counting regime of chiral effective field theory and beyond
journal, August 2010

Hall, J. M. M.; Leinweber, D. B.; Young, R. D.
Physical Review D, Vol. 82, Issue 3
DOI: 10.1103/PhysRevD.82.034010

Chiral Extrapolation of Lattice Moments of Proton Quark Distributions
journal, October 2001

Detmold, W.; Melnitchouk, W.; Negele, J. W.
Physical Review Letters, Vol. 87, Issue 17
DOI: 10.1103/PhysRevLett.87.172001

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
DOI: 10.1016/0370-2693(83)90026-6

Pion momentum distributions in the nucleon in chiral effective theory
journal, March 2013

Burkardt, M.; Hendricks, K. S.; Ji, Chueng-Ryong
Physical Review D, Vol. 87, Issue 5
DOI: 10.1103/PhysRevD.87.056009

Pionic corrections to the MIT bag model: The (3,3) resonance
journal, December 1980

Théberge, S.; Thomas, A. W.; Miller, Gerald A.
Physical Review D, Vol. 22, Issue 11
DOI: 10.1103/PhysRevD.22.2838

First Monte Carlo Global QCD Analysis of Pion Parton Distributions
journal, October 2018

Barry, P. C.; Sato, N.; Melnitchouk, W.
Physical Review Letters, Vol. 121, Issue 15
DOI: 10.1103/PhysRevLett.121.152001

$⟨ x ⟩$ and $⟨ x^{2} ⟩$ of the pion PDF from lattice QCD with $N_{f} = 2 + 1 + 1$ dynamical quark flavors
journal, January 2019

Oehm, M.; Alexandrou, C.; Constantinou, M.
Physical Review D, Vol. 99, Issue 1
DOI: 10.1103/PhysRevD.99.014508

Delta baryon magnetic moments from lattice QCD
journal, June 2003

Cloet, I. C.; Leinweber, D. B.; Thomas, A. W.
Physics Letters B, Vol. 563, Issue 3-4
DOI: 10.1016/S0370-2693(03)00418-0

Parton distribution function with nonperturbative renormalization from lattice QCD
journal, January 2018

Chen, Jiunn-Wei; Ishikawa, Tomomi; Jin, Luchang
Physical Review D, Vol. 97, Issue 1
DOI: 10.1103/PhysRevD.97.014505

Dynamics of light antiquarks in the proton
journal, December 1998

Melnitchouk, W.; Speth, J.; Thomas, A. W.
Physical Review D, Vol. 59, Issue 1
DOI: 10.1103/PhysRevD.59.014033

A complete non-perturbative renormalization prescription for quasi-PDFs
journal, October 2017

Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
Nuclear Physics B, Vol. 923
DOI: 10.1016/j.nuclphysb.2017.08.012

Sum Rule for High-Energy Electron-Proton Scattering
journal, June 1967

Gottfried, Kurt
Physical Review Letters, Vol. 18, Issue 25
DOI: 10.1103/PhysRevLett.18.1174

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

Hawker, E. A.; Awes, T. C.; Beddo, M. E.
Physical Review Letters, Vol. 80, Issue 17
DOI: 10.1103/PhysRevLett.80.3715

Anatomy of relativistic pion loop corrections to the electromagnetic nucleon coupling
journal, October 2013

Ji, Chueng-Ryong; Melnitchouk, W.; Thomas, A. W.
Physical Review D, Vol. 88, Issue 7
DOI: 10.1103/PhysRevD.88.076005

Flavor structure of the nucleon sea from lattice QCD
journal, March 2015

Lin, Huey-Wen; Chen, Jiunn-Wei; Cohen, Saul D.
Physical Review D, Vol. 91, Issue 5
DOI: 10.1103/PhysRevD.91.054510

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
DOI: 10.1016/j.nuclphysb.2016.07.033

Updated lattice results for parton distributions
journal, July 2017

Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
Physical Review D, Vol. 96, Issue 1
DOI: 10.1103/PhysRevD.96.014513

Similar Records in DOE PAGES and OSTI.GOV collections:

Dynamical Symmetry Breaking in the Sea of the Nucleon

Journal Article Thomas, A W ; Melnitchouk, W ; Steffens, F M - Physical Review Letters

We derive the nonanalytic chiral behavior of the flavor asymmetry {bar D}-{bar u} . Such behavior is a unique characteristic of Goldstone boson loops in chiral theories, including QCD, and establishes the unambiguous role played by the Goldstone boson cloud in the sea of the proton. Generalizing the results to the SU(3) sector, we show that strange chiral loops require that the s-{bar s} distribution be nonzero.
https://doi.org/10.1103/PhysRevLett.85.2892
Measurement of flavor asymmetry of the light-quark sea in the proton with Drell-Yan dimuon production in $p + p$ and $p + d$ collisions at 120 GeV

Journal Article Dove, J. ; Kerns, B. ; Leung, C. ; ... - Physical Review. C

Evidence for a flavor asymmetry between themore »« less
https://doi.org/10.1103/PhysRevC.108.035202
Chiral quark model of nucleon spin-flavor structure with SU(3) and axial-U(1) breakings

Journal Article Cheng, T P ; Li, L - Physical Review, D

The chiral quark model with a nonet of Goldstone bosons can yield an adequate description of the observed proton flavor and spin structure. In a previous publication we have compared the results of an SU(3) symmetric calculation with the phenomenological findings based on experimental measurements and SU(3) symmetry relations. In this paper we discuss their SU(3) and axial U(1) breaking corrections. Our result demonstrates the broad consistency of the chiral quark model with the experimental observations of the proton spin-flavor structure. With two parameters, we obtain a very satifactory fit to the F/D ratios for the octet baryon masses andmore »« less
https://doi.org/10.1103/PhysRevD.57.344
Constraints on the $s - \bar{s}$ asymmetry of the proton in chiral effective theory

Journal Article Wang, X. G. ; Ji, Chueng-Ryong ; Melnitchouk, W. ; ... - Physics Letters B

Here, we compute themore »« less
Cited by 18
https://doi.org/10.1016/j.physletb.2016.09.014
Minimal $S U (3) \times S U (3)$ symmetry breaking patterns

Journal Article Bai, Yang ; Dobrescu, Bogdan A. - Physical Review. D.

Here, we study the vacua of anmore »« less
Cited by 13
https://doi.org/10.1103/PhysRevD.97.055024

Similar Records

Title: Flavor symmetry breaking in the Δ sea

Abstract

Citation Formats

Gottfried sum rule and the shape ofF 2 ? -F 2 ? journal, March 1991

Chiral aspects of hadron structure journal, May 2000

Dynamical Symmetry Breaking in the Sea of the Nucleon journal, October 2000

Origin of SU(2)-flavor-symmetry breaking in antiquark distributions journal, August 1991

Chiral extrapolation of hadronic observables journal, May 2003

Extraction of Parton Distributions from Lattice qcd journal, December 2003

Factorization theorem relating Euclidean and light-cone parton distributions journal, September 2018

Gottfried sum from the ratio F 2 n / F 2 p journal, May 1991

Nonperturbative Renormalization of Nonlocal Quark Bilinears for Parton Quasidistribution Functions on the Lattice Using an Auxiliary Field journal, July 2018

Strange-quark asymmetry in the proton in chiral effective theory journal, November 2016

Study of the isospin symmetry breaking in the light quark sea of the nucleon from the Drell-Yan process journal, July 1994

Leading Chiral Contributions to the Spin Structure of the Proton journal, January 2002

Convergence of chiral effective field theory journal, January 2003

Erratum: Pionic corrections to the MIT bag model: The (3,3) resonance journal, May 1981

d ¯ − u ¯ Asymmetry in the Proton in Chiral Effective Theory journal, March 2015

Parton distribution functions in the pion from lattice QCD journal, August 2003

Pion structure function at small x from deep-inelastic scattering data journal, June 2012

Parton distributions for the pion extracted from Drell-Yan and prompt photon experiments journal, April 1992

Chiral corrections to matrix elements of twist-2 operators journal, January 2002

Parton distributions from nonlocal chiral SU(3) effective theory: Splitting functions journal, January 2019

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

Parton Physics on a Euclidean Lattice journal, June 2013

One-loop matching for parton distributions: Nonsinglet case journal, July 2014

π and ρ structure functions from lattice QCD journal, September 1997

Excess of over in the proton sea quark distribution journal, November 1990

Light-Cone Parton Distribution Functions from Lattice QCD journal, September 2018

Large-Nc quark distributions in the delta and chiral logarithms in quark distributions of the nucleon journal, December 2001

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

Theory of Deep-Inelastic Lepton-Nucleon Scattering and Lepton Pair Annihilation Processes. II. Deep-Inelastic Electron Scattering journal, February 1970

Baryon masses from lattice QCD: Beyond the perturbative chiral regime journal, February 2000

Lattice calculation of parton distributions journal, July 2015

Power counting regime of chiral effective field theory and beyond journal, August 2010

Chiral Extrapolation of Lattice Moments of Proton Quark Distributions journal, October 2001

A limit on the pionic component of the nucleon through SU(3) flavour breaking in the sea journal, June 1983

Pion momentum distributions in the nucleon in chiral effective theory journal, March 2013

Pionic corrections to the MIT bag model: The (3,3) resonance journal, December 1980

First Monte Carlo Global QCD Analysis of Pion Parton Distributions journal, October 2018

⟨ x ⟩ and ⟨ x 2 ⟩ of the pion PDF from lattice QCD with N f = 2 + 1 + 1 dynamical quark flavors journal, January 2019

Delta baryon magnetic moments from lattice QCD journal, June 2003

Parton distribution function with nonperturbative renormalization from lattice QCD journal, January 2018

Dynamics of light antiquarks in the proton journal, December 1998

A complete non-perturbative renormalization prescription for quasi-PDFs journal, October 2017

Sum Rule for High-Energy Electron-Proton Scattering journal, June 1967

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

Anatomy of relativistic pion loop corrections to the electromagnetic nucleon coupling journal, October 2013

Flavor structure of the nucleon sea from lattice QCD journal, March 2015

Nucleon helicity and transversity parton distributions from lattice QCD journal, October 2016

Updated lattice results for parton distributions journal, July 2017

Title: Flavor symmetry breaking in the $Δ$ sea

Gottfried sum rule and the shape ofF 2 ? -F 2 ?
journal, March 1991

Chiral aspects of hadron structure
journal, May 2000

Dynamical Symmetry Breaking in the Sea of the Nucleon
journal, October 2000

Origin of SU(2)-flavor-symmetry breaking in antiquark distributions
journal, August 1991

Chiral extrapolation of hadronic observables
journal, May 2003

Extraction of Parton Distributions from Lattice qcd
journal, December 2003

Factorization theorem relating Euclidean and light-cone parton distributions
journal, September 2018

Gottfried sum from the ratio $F_{2}^{n}$ / $F_{2}^{p}$
journal, May 1991

Nonperturbative Renormalization of Nonlocal Quark Bilinears for Parton Quasidistribution Functions on the Lattice Using an Auxiliary Field
journal, July 2018

Strange-quark asymmetry in the proton in chiral effective theory
journal, November 2016

Study of the isospin symmetry breaking in the light quark sea of the nucleon from the Drell-Yan process
journal, July 1994

Leading Chiral Contributions to the Spin Structure of the Proton
journal, January 2002

Convergence of chiral effective field theory
journal, January 2003

Erratum: Pionic corrections to the MIT bag model: The (3,3) resonance
journal, May 1981

$\bar{d} - \bar{u}$ Asymmetry in the Proton in Chiral Effective Theory
journal, March 2015

Parton distribution functions in the pion from lattice QCD
journal, August 2003

Pion structure function at small $x$ from deep-inelastic scattering data
journal, June 2012

Parton distributions for the pion extracted from Drell-Yan and prompt photon experiments
journal, April 1992

Chiral corrections to matrix elements of twist-2 operators
journal, January 2002

Parton distributions from nonlocal chiral SU(3) effective theory: Splitting functions
journal, January 2019

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

Parton Physics on a Euclidean Lattice
journal, June 2013

One-loop matching for parton distributions: Nonsinglet case
journal, July 2014

$π$ and $ρ$ structure functions from lattice QCD
journal, September 1997

Excess of over in the proton sea quark distribution
journal, November 1990

Light-Cone Parton Distribution Functions from Lattice QCD
journal, September 2018

Large-Nc quark distributions in the delta and chiral logarithms in quark distributions of the nucleon
journal, December 2001

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

Theory of Deep-Inelastic Lepton-Nucleon Scattering and Lepton Pair Annihilation Processes. II. Deep-Inelastic Electron Scattering
journal, February 1970

Baryon masses from lattice QCD: Beyond the perturbative chiral regime
journal, February 2000

Lattice calculation of parton distributions
journal, July 2015

Power counting regime of chiral effective field theory and beyond
journal, August 2010

Chiral Extrapolation of Lattice Moments of Proton Quark Distributions
journal, October 2001

A limit on the pionic component of the nucleon through SU(3) flavour breaking in the sea
journal, June 1983

Pion momentum distributions in the nucleon in chiral effective theory
journal, March 2013

Pionic corrections to the MIT bag model: The (3,3) resonance
journal, December 1980

First Monte Carlo Global QCD Analysis of Pion Parton Distributions
journal, October 2018

$⟨ x ⟩$ and $⟨ x^{2} ⟩$ of the pion PDF from lattice QCD with $N_{f} = 2 + 1 + 1$ dynamical quark flavors
journal, January 2019

Delta baryon magnetic moments from lattice QCD
journal, June 2003

Parton distribution function with nonperturbative renormalization from lattice QCD
journal, January 2018

Dynamics of light antiquarks in the proton
journal, December 1998

A complete non-perturbative renormalization prescription for quasi-PDFs
journal, October 2017

Sum Rule for High-Energy Electron-Proton Scattering
journal, June 1967

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

Anatomy of relativistic pion loop corrections to the electromagnetic nucleon coupling
journal, October 2013

Flavor structure of the nucleon sea from lattice QCD
journal, March 2015

Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016

Updated lattice results for parton distributions
journal, July 2017