Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions

Freese, Adam; Cloët, Ian C.

doi:10.1103/PhysRevC.101.035203

Title: Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions

Journal Article · Fri Mar 13 00:00:00 EDT 2020 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.101.035203· OSTI ID:1604625

Freese, Adam ^[1]; Cloët, Ian C. ^[1]

Argonne National Lab. (ANL), Argonne, IL (United States)

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.

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

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357; 2017-058-N0; 2020-0020

OSTI ID:: 1604625

Alternate ID(s):: OSTI ID: 1604512

Journal Information:: Physical Review C, Vol. 101, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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