Nucleon electromagnetic form factors from the covariant Faddeev equation

Abstract

We compute the electromagnetic form factors of the nucleon in the Poincare-covariant Faddeev framework based on the Dyson-Schwinger equations of QCD. The general expression for a baryon's electromagnetic current in terms of three interacting dressed quarks is derived. Upon employing a rainbow-ladder gluon-exchange kernel for the quark-quark interaction, the nucleon's Faddeev amplitude and electromagnetic form factors are computed without any further truncations or model assumptions. The form factor results show clear evidence of missing pion-cloud effects below a photon momentum transfer of ~2 GeV^2 and in the chiral region whereas they agree well with experimental data at higher photon momenta. Thus, the approach reflects the properties of the nucleon's quark core.

23 pages, 10 figures, 2 tables

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• The quark-gluon vertex in Landau gauge bound-state studies
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• A Dyson-Schwinger study of the four-gluon vertex
• On light baryons and their excitations
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Elastic electromagnetic form factors of vector mesons
• Nucleon tensor charges and electric dipole moments
• Octet and Decuplet masses: a covariant three-body Faddeev calculation
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• A comprehensive approach to the physics of mesons
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• Electromagnetic baryon form factors in the Poincare-covariant Faddeev approach
• Elucidating the rho-meson's role as intermediate resonance in the time-like electromagnetic pion form factor
• The role of vector meson dominance and running masses in the hadronic contributions to the muon $g-2$
• Getting a handle on correlation functions
• Delta and Omega electromagnetic form factors in a covariant three-body approach
• Baryons with functional methods