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Title: Impact of DCSB and dynamical diquark correlations on proton GPDs

Abstract

We calculate the leading-twist, helicity-independent generalized parton distributions (GPDs) of the proton, at finite skewness, in the Nambu–Jona-Lasinio (NJL) model of quantum chomodynamics (QCD). The NJL model reproduces low-energy characteristics of QCD, including dynamical chiral symmetry breaking (DCSB). The proton bound-state amplitude is solved for using the Faddeev equation in a quark-diquark approximation, including both dynamical scalar and axial vector diquarks. GPDs are calculated using a dressed non-local correlator, consistent with DCSB, which is obtained by solving a Bethe-Salpeter equation. The model and approximations used observe Lorentz covariance, and as a consequence the GPDs obey polynomiality sum rules. Extractions of electromagnetic and gravitational form factors are performed. We find a D-term of -1.08 when the non-local correlator is properly dressed, and 0.85 when the bare correlator is used instead, suggesting that within this framework proton stability requires the constituent quarks to be dressed consistently with DCSB. We also find that the anomalous gravitomagnetic moment vanishes, as required by Poincare symmetry.

Authors:
;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science - Office of Nuclear Physics; USDOE Office of Science (SC)
OSTI Identifier:
1604625
Alternate Identifier(s):
OSTI ID: 1604512
Grant/Contract Number:  
[AC02-06CH11357; 2017-058-N0; 2020-0020]
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
[ Journal Volume: 101; Journal Issue: 3]; Journal ID: ISSN 0556-2813
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

Citation Formats

Freese, Adam, and Cloet, Ian C. Impact of DCSB and dynamical diquark correlations on proton GPDs. United States: N. p., 2020. Web. doi:10.1103/PhysRevC.101.035203.
Freese, Adam, & Cloet, Ian C. Impact of DCSB and dynamical diquark correlations on proton GPDs. United States. doi:10.1103/PhysRevC.101.035203.
Freese, Adam, and Cloet, Ian C. Fri . "Impact of DCSB and dynamical diquark correlations on proton GPDs". United States. doi:10.1103/PhysRevC.101.035203.
@article{osti_1604625,
title = {Impact of DCSB and dynamical diquark correlations on proton GPDs},
author = {Freese, Adam and Cloet, Ian C.},
abstractNote = {We calculate the leading-twist, helicity-independent generalized parton distributions (GPDs) of the proton, at finite skewness, in the Nambu–Jona-Lasinio (NJL) model of quantum chomodynamics (QCD). The NJL model reproduces low-energy characteristics of QCD, including dynamical chiral symmetry breaking (DCSB). The proton bound-state amplitude is solved for using the Faddeev equation in a quark-diquark approximation, including both dynamical scalar and axial vector diquarks. GPDs are calculated using a dressed non-local correlator, consistent with DCSB, which is obtained by solving a Bethe-Salpeter equation. The model and approximations used observe Lorentz covariance, and as a consequence the GPDs obey polynomiality sum rules. Extractions of electromagnetic and gravitational form factors are performed. We find a D-term of -1.08 when the non-local correlator is properly dressed, and 0.85 when the bare correlator is used instead, suggesting that within this framework proton stability requires the constituent quarks to be dressed consistently with DCSB. We also find that the anomalous gravitomagnetic moment vanishes, as required by Poincare symmetry.},
doi = {10.1103/PhysRevC.101.035203},
journal = {Physical Review. C, Nuclear Physics},
number = [3],
volume = [101],
place = {United States},
year = {2020},
month = {3}
}

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