Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions
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. In conclusion, we also find that the anomalous gravitomagnetic moment vanishes, as required by Poincare symmetry.
- Authors:
-
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- 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
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 3; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quantum chromodynamics; strong interactionl chiral symmetry; form factors
Citation Formats
Freese, Adam, and Cloët, Ian C. Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions. United States: N. p., 2020.
Web. doi:10.1103/PhysRevC.101.035203.
Freese, Adam, & Cloët, Ian C. Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions. United States. https://doi.org/10.1103/PhysRevC.101.035203
Freese, Adam, and Cloët, Ian C. Fri .
"Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions". United States. https://doi.org/10.1103/PhysRevC.101.035203. https://www.osti.gov/servlets/purl/1604625.
@article{osti_1604625,
title = {Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions},
author = {Freese, Adam and Cloët, 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. In conclusion, we also find that the anomalous gravitomagnetic moment vanishes, as required by Poincare symmetry.},
doi = {10.1103/PhysRevC.101.035203},
journal = {Physical Review C},
number = 3,
volume = 101,
place = {United States},
year = {Fri Mar 13 00:00:00 EDT 2020},
month = {Fri Mar 13 00:00:00 EDT 2020}
}
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