Time-like and space-like electromagnetic form factors of nucleons, a unified description

Abstract

The extended Lomon-Gari-Krümpelmann model of nucleon electromagnetic form factors, which embodies ρ, ρ', ω, ω' and ϕvector meson contributions and the perturbative QCD high momentum transfer behavior has been extended to the time-like region. Breit-Wigner formulae with momentum-dependent widths have been considered for broad resonances in order to have a parametrization for the electromagnetic form factors that fulfills, in the time-like region, constraints from causality, analyticity, and unitarity. This analytic extension of the Lomon-Gari-Krümpelmann model has been used to perform a unified fit to all the nucleon electromagnetic form factor data, in the space-like and time-like region (where form factor values are extracted from e+e- <-> nucleon-antinucleon cross sections data). The knowledge of the complete analytic structure of form factors enables predictions at extended momentum transfer, and also of time-like observables such as the ratio between electric and magnetic form factors and their relative phase.

21 pages, 17 figures. Accepted for publication in PRD

References in corpus (4)

• Nucleon Electromagnetic Form Factors
• Unexpected features of e+e-->ppbar and e+e-->lambda-lambdabar cross sections near threshold
• On the strong energy dependence of the e^+e^- to ppbar amplitude near threshold
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