In a 5-parameter Gari-Krümpelmann model, the dispersive two-pion continuum replaces the rho pole in the isovector nucleon form-factors while fitting the world data, yielding a single scale Lambda = 1.49 GeV.
Baryon Form Factors
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abstract
We review the status of baryon form factors with a special focus on the nucleon electromagnetic form factors which are known best. First, we give an introduction into the dispersive analyses and emphasize the role of unitarity and analyticity in the construction of the isoscalar and isovector spectral functions. Second, we present the state of the art in our understanding of nucleon form factors and radii including reliable uncertainty estimates from bootstrap and Bayesian methods. Third, we discuss the physics of the time-like form factors and point out further issues to be addressed in this framework. Finally, we review the status of hyperon form factors and comment on the pion cloud.
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Nucleon electromagnetic form-factors in a minimal Gari-Kr\"umpelmann model including the explicit two-pion continuum
In a 5-parameter Gari-Krümpelmann model, the dispersive two-pion continuum replaces the rho pole in the isovector nucleon form-factors while fitting the world data, yielding a single scale Lambda = 1.49 GeV.