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Dispersion analysis of the nucleon form factors including meson continua

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arxiv hep-ph/0608337 v1 pith:5BG66JMC submitted 2006-08-31 hep-ph hep-exnucl-exnucl-th

M.A. Belushkin , H.-W. Hammer , U.-G. Mei{ss}ner This is my paper · ORCID
classification hep-phhep-exnucl-exnucl-th
keywords couplingdatafactorsformnucleonagreementanalysisconstant
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Dispersion relations provide a powerful tool to analyse the electromagnetic form factors of the nucleon for all momentum transfers. Constraints from meson-nucleon scattering data, unitarity, and perturbative QCD can be included in a straightforward way. In particular, we include the 2pi, rho-pi, and KKbar continua as independent input in our analysis and provide an error band for our results. Moreover, we discuss two different methods to include the asymptotic constraints from perturbative QCD. We simultaneously analyze the world data for all four form factors in both the space-like and time-like regions and generally find good agreement with the data. We also extract the nucleon radii and the omega-NN coupling constants. For the radii, we generally find good agreement with other determinations with the exception of the electric charge radius of the proton which comes out smaller. The omega-NN vector coupling constant is determined relatively well by the fits, but for the tensor coupling constant even the sign can not be determined.

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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. Reconstruction of Gravitational Form Factors using Generative Machine Learning

    hep-ph 2026-02 conditional novelty 6.0 of 10

    A diffusion model trained on synthetic physics-motivated curves reconstructs the proton's A(t), J(t), D(t) from sparse data, extracting c8=-4.6±0.8, c9=-0.61±0.19, and D(0)=-4.3±0.8.

  2. Electromagnetic nucleon form factors in the extended vector meson dominance model

    hep-ph 2024-12 conditional novelty 4.0 of 10

    A six-parameter extended vector meson dominance model with four rho/omega radial excitations per channel is fitted to world data on nucleon form factors, giving a moderate but physically constrained description.

  3. Baryon Form Factors

    hep-ph 2024-12 accept novelty 2.0 of 10

    A review of baryon form factors summarizing the authors' dispersion-theoretical fits, which yield r_p^E = 0.840 fm, r_p^M = 0.849 fm, and r_n^M = 0.864 fm.

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