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

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:
 [1] ;  [2] ;  [3] ; ORCiD logo [4]
  1. Institut Nazionale di Fisica Nucleare, Roma (Italy); Argonne National Lab. (ANL), Argonne, IL (United States)
  2. Univ. Autonoma de Barcelona, Barcelona (Spain)
  3. Nankai Univ., Tianjin (China)
  4. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Grant/Contract Number:
AC02-06CH11357
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 783; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org:
European Union, Horizon 2020 Research and Innovation Programme; Spanish Ministerio de Economia y Competitividad (MINECO); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
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
OSTI Identifier:
1459750
Alternate Identifier(s):
OSTI ID: 1477449

Mezrag, Cédric, Segovia, Jorge, Chang, Lei, and Roberts, Craig D. Parton distribution amplitudes: Revealing correlations within the proton and Roper. United States: N. p., Web. doi:10.1016/j.physletb.2018.06.062.
Mezrag, Cédric, Segovia, Jorge, Chang, Lei, & Roberts, Craig D. Parton distribution amplitudes: Revealing correlations within the proton and Roper. United States. doi:10.1016/j.physletb.2018.06.062.
Mezrag, Cédric, Segovia, Jorge, Chang, Lei, and Roberts, Craig D. 2018. "Parton distribution amplitudes: Revealing correlations within the proton and Roper". United States. doi:10.1016/j.physletb.2018.06.062.
@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. Section B},
number = C,
volume = 783,
place = {United States},
year = {2018},
month = {7}
}