Invariant Amplitudes for Pion Electroproduction

Abstract

The invariant amplitudes for pion electroproduction on the nucleon are evaluated by dispersion relations at constant t with MAID as input for the imaginary parts of these amplitudes. In the threshold region these amplitudes are confronted with the predictions of several low-energy theorems derived in the soft-pion limit. In general agreement with Chiral Perturbation Theory, the dispersive approach yields large corrections to these theorems because of the finite pion mass.

18 pages, 8 figures

References in corpus (13)

• A unitary isobar model for pion photo- and electroproduction on the proton up to 1 GeV
• Unitary Isobar Model - MAID2007
• Axial structure of the nucleon
• Dispersion-Theoretical Analysis of the Nucleon Electromagnetic Formfactors
• Analysis of Pion Photoproduction Data
• A measurement of the axial form factor of the nucleon by the p(e,e'pi+)n reaction at W=1125 MeV
• Multipole Amplitudes of Pion Photoproduction on Nucleons up to 2GeV within Dispersion Relations and Unitary Isobar Model
• Threshold Pion Electroproduction in Chiral Perturbation Theory
• Test of low-energy theorems for p(\vec{gamma},π^{0})p in the threshold region
• The Fubini-Furlan-Rosetti sum rule and related aspects in light of covariant baryon chiral perturbation theory
• The Fubini-Furlan-Rossetti Sum Rule Revisited
• Dispersion Theory and the Low Energy Constants for Neutral Pion Photoproduction
• The pion charge radius from charged pion electroproduction

Cited by in corpus (12)

• Baryons as relativistic three-quark bound states
• Electron- and neutrino-nucleus scattering from the quasielastic to the resonance region
• Electromagnetic Excitation of Nucleon Resonances
• Electromagnetic production of kaon near threshold
• Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory: II. Spin polarizabilities and moments of polarized structure functions
• Two-photon exchange corrections to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states at low momentum transfers
• Regge phenomenology in ${\pi }^0$ and $\eta$ photoproduction
• The MAID Legacy and Future
• Threshold pion electro- and photoproduction off nucleons in covariant chiral perturbation theory
• Dispersive analysis of low energy ${\gamma }^{\ast }N\to \pi N$ process
• Aspects of QCD Current Algebra on a Null Plane
• Measuring transverse shape with virtual photons