Few-Body Systems

, Volume 37, Issue 1, pp 1–31

On Nucleon Electromagnetic Form Factors


  • R. Alkofer
    • Institut für Theoretische Physik, Universität Tübingen
  • A. Höll
    • Physics DivisionArgonne National Laboratory
  • M. Kloker
    • Institut für Theoretische Physik, Universität Tübingen
  • A. Krassnigg
    • Physics DivisionArgonne National Laboratory
  • C. D. Roberts
    • Physics DivisionArgonne National Laboratory
    • Fachbereich Physik, Universität Rostock

DOI: 10.1007/s00601-005-0110-6

Cite this article as:
Alkofer, R., Höll, A., Kloker, M. et al. Few-Body Systems (2005) 37: 1. doi:10.1007/s00601-005-0110-6


A Poincaré-covariant Faddeev equation, which describes baryons as composites of confined-quarks and -nonpointlike-diquarks, is solved to obtain masses and Faddeev amplitudes for the nucleon and Δ. The amplitudes are a component of a nucleon-photon vertex that automatically fulfills the Ward-Takahashi identity for on-shell nucleons. These elements are sufficient for the calculation of a quark core contribution to the nucleons’ electromagnetic form factors. An accurate description of the static properties is not possible with the core alone but the error is uniformly reduced by the incorporation of meson-loop contributions. Such contributions to form factors are noticeable for Q2 ≲ 2 GeV2 but vanish with increasing momentum transfer. Hence, larger Q2 experiments probe the quark core. The calculated behaviour of GEp(Q2)/GMp(Q2) on Q2 ∈ [2,6] GeV2 agrees with that inferred from polarization transfer data. Moreover, \(\sqrt{Q^2} F_2(Q^2)/F_1(Q^2)\hskip-1pt\approx \) constant on this domain. These outcomes result from correlations in the proton’s amplitude.

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© Springer-Verlag/Wien 2005