Dispersion analysis of the nucleon form factors including meson continua

Abstract

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.

24 pages, 9 figures

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• Dispersion-Theoretical Analysis of the Nucleon Electromagnetic Formfactors
• Reanalysis of Hadronic Cross Section Measurements at CMD-2
• On the rms-radius of the proton
• Measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma )$ and extraction of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-})$ below 1 {\rm GeV} with the KLOE detector
• Low energy analysis of the nucleon electromagnetic form factors
• A Coherent Interpretation of the Form Factors of the Nucleon in Terms of a Pion Cloud and Constituent Quarks
• Precise Neutron Magnetic Form Factors
• Measurement of e+e- -> pi+pi- cross section with CMD-2 around rho-meson
• Nucleon Form Factors in QCD
• Measurement of the Electric Form Factor of the Neutron at Q^2=0.5 and 1.0 (GeV/c)^2
• Electromagnetic Form Factors of the Nucleon and Compton Scattering
• Measurement of the Electric Form Factor of the Neutron at Q^2 = 0.3-0.8 (GeV/c)^2
• Precision Measurements of the Timelike Electromagnetic Form Factors of Pion, Kaon, and Proton
• The neutron charge form factor and target analyzing powers from pol.3He(pol e,e'n)-scattering
• Nucleon electromagnetic form factors on the lattice and in chiral effective field theory
• Coulomb Corrections to Elastic Electron-Proton Scattering and the Proton Charge Radius
• Status on nucleon electromagnetic form factors
• The three loop slope of the Dirac form factor and the 1S Lamb shift in hydrogen
• Measurements of the neutron electric to magnetic form factor ratio GEn/GMn via the ^2H(\vec{e},e'\vec{n})^1H reaction to Q^2 = 1.45 (GeV/c)^2
• The nucleon electromagnetic form factors from Lattice QCD
• Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ in the energy region 400<\sqrt[]{s}<1000 MeV
• Dispersion-theoretical analysis of the nucleon electromagnetic form factors: Inclusion of time-like data
• Proton radii and two-photon exchange
• Strange vector currents and the OZI-rule
• Nucleon electroweak form factors: Analysis of their spectral functions
• Extended Gari-Krumpelmann model fits to nucleon electromagnetic form factors
• Updated dispersion-theoretical analysis of the nucleon electromagnetic form factors
• Electromagnetic form factors of the nucleon in chiral perturbation theory including vector mesons
• Nucleon electromagnetic form factors and polarization observables in space-like and time-like regions
• Nucleon Structure and Parity-Violating Electron Scattering
• Measurement of the cross section for e^+e^- -> ppbar at center-of-mass energies from 2.0 to 3.07 GeV
• A measurement of the CP-conserving component of the decay KS -> pi+ pi- pi0
• Isospin violation in the vector form factors of the nucleon
• Hunting for glueballs in electron-positron annihilation
• On the pion cloud of the nucleon
• Spectral functions of isoscalar scalar and isovector electromagnetic form factors of the nucleon at two-loop order
• K\bar{K}-Continuum and Isoscalar Nucleon Form Factors
• QCD Form Factors and Hadron Helicity Non-Conservation
• Nucleon electromagnetic structure revisited
• Novel evaluation of the two-pion contribution to the nucleon isovector form factors
• Spectral Content of Isoscalar Nucleon Form Factors
• Nucleon Form Factors in Dispersion Theory
• Asymptotic behavior of nucleon electromagnetic form factors in time-like region
• Meson-meson correlations in baryon-baryon and antibaryon-baryon interactions

Cited by in corpus (149)

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• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Roy-Steiner-equation analysis of pion-nucleon scattering
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• High Precision Measurement of the Proton Elastic Form Factor Ratio ${\mu }_p{G}_E/G_M$ at low $Q^2$
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• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• Model independent extraction of the proton magnetic radius from electron scattering
• The electromagnetic form factors of the proton in the timelike region
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• Periodic interference structures in the time-like proton form factor
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• Operator Evolution via the Similarity Renormalization Group I: The Deuteron
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• The Proton Elastic Form Factor Ratio at Low Momentum Transfer
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• Proton radius from electron-proton scattering and chiral perturbation theory
• QED is not endangered by the proton's size
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• Effective field theory for large logarithms in radiative corrections to electron proton scattering
• The nucleon electric dipole moment with the gradient flow: the $\theta$-term contribution
• Measurements of the gamma*p->Delta Reaction At Low Q^2: Probing the Mesonic Contribution
• Robust extraction of proton charge radius from electron-proton scattering data
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• Phenomenological analysis of near threshold periodic modulations of the proton timelike form factor
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• QED confronts the radius of the proton
• The Role of Mesons in the Electromagnetic Form Factors of the Nucleon
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