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Nucleon electromagnetic form factors from the covariant Faddeev equation

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arxiv 1104.4505 v1 pith:UPIWV5CE submitted 2011-04-22 hep-ph hep-latnucl-exnucl-th

Gernot Eichmann This is my paper · ORCID
classification hep-phhep-latnucl-exnucl-th
keywords electromagneticformnucleonfactorsfaddeevphotonagreeamplitude
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Space- and time-like electromagnetic form factors of the $\mathbf{\Omega}$ baryon

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    Predictions for space- and time-like electromagnetic form factors of the Ω baryon obtained in rainbow-ladder DSE with vector⊗vector contact interaction and Poincaré-covariant Faddeev equation.

  2. Insights into the $\mathbf{\gamma^{(*)} + N(940)\frac{1}{2}^+ \to \Delta(1700)\frac{3}{2}^{-}}$ transition

    hep-ph 2025-02 accept novelty 6.0 of 10

    First SCI-DSE quark-diquark calculation of the gamma* N -> Delta(1700) transition form factors and helicity amplitudes, benchmarked against JLab and CLAS data.

  3. Getting a handle on correlation functions

    hep-ph 2026-02 accept novelty 3.0 of 10

    A pedagogical guide to constructing symmetry-adapted tensor bases and momentum variables for n-point correlation functions in Euclidean quantum field theory.

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