2005
DOI: 10.1140/epja/i2005-10145-8
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Electromagnetic form factors of the nucleon in chiral perturbation theory including vector mesons

Abstract: We calculate the electromagnetic form factors of the nucleon up to fourth order in manifestly Lorentz-invariant chiral perturbation theory with vector mesons as explicit degrees of freedom. A systematic power counting for the renormalized diagrams is implemented using both the extended on-mass-shell renormalization scheme and the reformulated version of infrared regularization. We analyze the electric and magnetic Sachs form factors, G E and G M , and compare our results with the existing data. The inclusion o… Show more

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Cited by 76 publications
(99 citation statements)
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References 28 publications
(43 reference statements)
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“…Also for the magnetic FFs, a good description is only obtained once the vector mesons are included. The results of Schindler et al [Schi05] in a covariant χPT calculation and using a consistent power counting scheme which includes to fourth order both vector meson pole and loop contributions are also shown in Fig. 35.…”
Section: Chiral Perturbation Theorymentioning
confidence: 91%
See 1 more Smart Citation
“…Also for the magnetic FFs, a good description is only obtained once the vector mesons are included. The results of Schindler et al [Schi05] in a covariant χPT calculation and using a consistent power counting scheme which includes to fourth order both vector meson pole and loop contributions are also shown in Fig. 35.…”
Section: Chiral Perturbation Theorymentioning
confidence: 91%
“…One recovers the con- The results of [Kub01] including vector mesons are shown to third (dashed curves) and fourth (solid curves) orders. The results of [Schi05] to fourth order are displayed both without vector mesons (dotted curves) and when including vector mesons (dashed-dotted curves). For references to the data : G M p (see Fig.…”
Section: Lattice Qcd and Chiral Extrapolation 451 Lattice Simulationsmentioning
confidence: 99%
“…The electromagnetic form factors of the nucleon have been calculated to fourth order (one-loop) in baryon chiral perturbation theory within the manifestly Lorentz-invariant infrared regularization approach [31] and the extended on-mass-shell renormalization scheme [32,33]. The inclusion of vector mesons as explicit degrees of freedom results in a considerably improved description, accurate up to Q 2 − ∼ 0.4 GeV 2 .…”
mentioning
confidence: 99%
“…[35] with point-like constituent quarks; thick solid curve: front form calculation of Frank et al [29]; dashed curve: point form calculation of Boffi et al [36] in the Goldstone boson exchange model with point-like constituent quarks; thin solid curve: covariant spectator model of Gross and Agbakpe [37]. 1-17 The proton form factors in the relativistic baryon χPT of [40] (IR scheme) and [41] (EOMS scheme). The results of [40] including vector mesons are shown to third (dashed curves) and fourth (solid curves) orders.…”
Section: High Precision Measurement Of the Proton Elastic Formmentioning
confidence: 99%
“…The results of [40] including vector mesons are shown to third (dashed curves) and fourth (solid curves) orders. The results of [41] to fourth order are displayed both without vector mesons (dotted curves) and when including vector mesons (dashed-dotted curves). 1-24 Recent world high precision polarization data [16,19,20] compared to several fits [47,24,48,44] and parameterizations [49,36,50,51].…”
Section: High Precision Measurement Of the Proton Elastic Formmentioning
confidence: 99%