Parton distribution amplitudes: Revealing correlations within the proton and Roper

Mezrag, Cédric; Segovia, Jorge; Chang, Lei; Roberts, Craig D.

doi:10.1016/j.physletb.2018.06.062

Title: Parton distribution amplitudes: Revealing correlations within the proton and Roper

Abstract

Constrained by solutions of the continuum three-valence-body bound-state equations, we use perturbation theory integral representations (PTIRs) to develop algebraic Ansatze for the Faddeev wave functions of the proton and its first radial excitation, delivering therewith a quantum field theory calculation of the pointwise behaviour of their leading-twist parton distribution amplitudes (PDAs). The proton's PDA is a broad, concave function, with its maximum shifted relative to the peak in QCD's conformal limit expression for this PDA. The size and direction of this shift signal the presence of both scalar and pseudovector diquark correlations in the nucleon, with the scalar generating around 60% of the proton's normalisation. The radial-excitation is constituted similarly, and the pointwise form of its PDA, which is negative on a material domain, is the result of marked interferences between the contributions from both types of diquark; particularly, the locus of zeros that highlights its character as a radial excitation. Furthermore, these features originate with the emergent phenomenon of dynamical chiral-symmetry breaking in the Standard Model.

Authors:

Mezrag, Cédric; Segovia, Jorge; Chang, Lei;

Publication Date:: Wed Aug 01 00:00:00 EDT 2018

Research Org.:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); European Union, Horizon 2020 Research and Innovation Programme; Spanish Ministerio de Economia y Competitividad (MINECO)

OSTI Identifier:: 1459750

Alternate Identifier(s):: OSTI ID: 1477449

Grant/Contract Number:: AC02-06CH11357

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 783 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Parton distribution amplitudes; Proton structure; Nonperturbative methods in quantum field theory; Dynamical chiral symmetry breaking; Light-front quantum field theory

Citation Formats


                    Mezrag, Cédric, Segovia, Jorge, Chang, Lei, and Roberts, Craig D. Parton distribution amplitudes: Revealing correlations within the proton and Roper.  Netherlands: N. p., 2018. 
Web.  doi:10.1016/j.physletb.2018.06.062.

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                    Mezrag, Cédric, Segovia, Jorge, Chang, Lei, & Roberts, Craig D. Parton distribution amplitudes: Revealing correlations within the proton and Roper.  Netherlands.  https://doi.org/10.1016/j.physletb.2018.06.062

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                    Mezrag, Cédric, Segovia, Jorge, Chang, Lei, and Roberts, Craig D. Wed .  
"Parton distribution amplitudes: Revealing correlations within the proton and Roper".  Netherlands.  https://doi.org/10.1016/j.physletb.2018.06.062.

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@article{osti_1459750,

  title        = {Parton distribution amplitudes: Revealing correlations within the proton and Roper},

  author       = {Mezrag, Cédric and Segovia, Jorge and Chang, Lei and Roberts, Craig D.},

  abstractNote = {Constrained by solutions of the continuum three-valence-body bound-state equations, we use perturbation theory integral representations (PTIRs) to develop algebraic Ansatze for the Faddeev wave functions of the proton and its first radial excitation, delivering therewith a quantum field theory calculation of the pointwise behaviour of their leading-twist parton distribution amplitudes (PDAs). The proton's PDA is a broad, concave function, with its maximum shifted relative to the peak in QCD's conformal limit expression for this PDA. The size and direction of this shift signal the presence of both scalar and pseudovector diquark correlations in the nucleon, with the scalar generating around 60% of the proton's normalisation. The radial-excitation is constituted similarly, and the pointwise form of its PDA, which is negative on a material domain, is the result of marked interferences between the contributions from both types of diquark; particularly, the locus of zeros that highlights its character as a radial excitation. Furthermore, these features originate with the emergent phenomenon of dynamical chiral-symmetry breaking in the Standard Model.},

  doi          = {10.1016/j.physletb.2018.06.062},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 783,

  place        = {Netherlands},

  year         = {Wed Aug 01 00:00:00 EDT 2018},

  month        = {Wed Aug 01 00:00:00 EDT 2018}

}

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Works referencing / citing this record:

Light-cone distribution amplitudes of octet baryons from lattice QCD
journal, July 2019

Bali, Gunnar S.; Braun, Vladimir M.; Bürger, Simon
The European Physical Journal A, Vol. 55, Issue 7
DOI: 10.1140/epja/i2019-12803-6

Light-cone distribution amplitudes of octet baryons from lattice QCD
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Bali, Gunnar S.; Braun, Vladimir M.; Bürger, Simon
The European Physical Journal A, Vol. 55, Issue 7
DOI: 10.1140/epja/i2019-12803-6

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Raya, K.; Bedolla, Marco A.; Cobos-Martínez, J. J.
Few-Body Systems, Vol. 59, Issue 6
DOI: 10.1007/s00601-018-1455-y

Spectrum of Light- and Heavy-Baryons
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Qin, S. -X.; Roberts, C. D.; Schmidt, S. M.
Few-Body Systems, Vol. 60, Issue 2
DOI: 10.1007/s00601-019-1488-x

Transition form factors: $γ^{*} + p \to Δ (1232)$ , $Δ (1600)$
journal, August 2019

Lu, Y.; Chen, C.; Cui, Z. -F.
Physical Review D, Vol. 100, Issue 3
DOI: 10.1103/physrevd.100.034001

Spectrum and structure of octet and decuplet baryons and their positive-parity excitations
journal, September 2019

Chen, Chen; Krein, Gastão; Roberts, Craig D.
Physical Review D, Vol. 100, Issue 5
DOI: 10.1103/physrevd.100.054009

Pion and kaon valence quark distribution functions from Dyson-Schwinger equations
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Nucleon-to-Roper electromagnetic transition form factors at large $Q^{2}$
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Chen, Chen; Lu, Ya; Binosi, Daniele
Physical Review D, Vol. 99, Issue 3
DOI: 10.1103/physrevd.99.034013

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Title: Parton distribution amplitudes: Revealing correlations within the proton and Roper

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