Generalized Polarizabilities and the Chiral Structure of the Nucleon

Abstract

We are studying the electron scattering process e p to e' p' gamma in order to obtain information on the genuine virtual Compton scattering (VCS) process gamma^* N to gamma N. In addition to the two kinematical variables of real Compton scattering, e.g. the scattering angle theta and the energy omega' of the outgoing photon, the invariant amplitude for VCS depends on a third kinematical variable, which we choose as the absolute value of the three-momentum transfer to the nucleon. The structure-dependent coefficients in the VCS amplitude therefore acquire a momentum dependence and are termed ``generalized polarizabilities'' of the nucleon in analogy to real Compton scattering. Utilizing the heavy baryon formalism of chiral perturbation theory we present predictions for the momentum dependence of the ``generalized polarizabilities'' and discuss the VCS response functions to be measured in the scheduled electron scattering experiments.

11 pages, 2 figures, RevTex, submitted to Physical Review Letters

References in corpus (1)

• Delta(1232) and the Polarizabilities of the Nucleon

Cited by in corpus (41)

• Dispersion relations in real and virtual Compton scattering
• Electromagnetic Form Factors of the Nucleon and Compton Scattering
• QED radiative corrections to virtual Compton scattering
• Chiral Corrections to Matrix Elements of Twist-2 Operators
• Nucleon Polarizabilities: from Compton Scattering to Hydrogen Atom
• Structure analysis of the virtual Compton scattering amplitude at low energies
• The first determination of Generalized Polarizabilities of the proton by a Virtual Compton Scattering experiment
• New insights into the spin structure of the nucleon
• Generalized Polarizabilities of the Nucleon in Chiral Effective Theories
• Hadron structure at low Q^2
• Generalized dipole polarizabilities and the spatial structure of hadrons
• Hadron Polarizabilities
• Measurements of the Generalized Electric and Magnetic Polarizabilities of the Proton at Low Q2 Using the VCS Reaction
• Dispersion Theory in Electromagnetic Interactions
• Low-energy and low-momentum representation of the virtual Compton scattering amplitude
• Generalized polarizabilities of the nucleon studied in the linear sigma model (II)
• Generalized polarizabilities of the proton in a constituent quark model revisited
• Generalized spin polarizabilities of the nucleon in Heavy Baryon Chiral Perturbation Theory at order $\mathcal{O}(p^4)$
• Dispersion relation formalism for virtual Compton scattering and the generalized polarizabilities of the nucleon
• Virtual Compton Scattering and the Generalized Polarizabilities of the Proton at Q^2=0.92 and 1.76 GeV^2
• New Predictions for generalized spin polarizabilities from heavy baryon chiral perturbation theory
• Generalized polarizabilities of the nucleon in baryon chiral perturbation theory
• Real and Virtual Compton Scattering off the Nucleon
• Measured proton electromagnetic structure deviates from theoretical predictions
• Real and Virtual Compton Scattering: the nucleon polarisabilities
• Nucleon generalized polarizabilities within a relativistic Constituent Quark Model
• Virtual Compton Scattering and Nucleon Generalized Polarizabilities
• Spin-dependent sum rules connecting real and virtual Compton scattering verified
• The chiral structure of the neutron as revealed in electron and photon scattering
• Chiral perturbation theory - Success and challenge
• Q^2-evolution of the electric and magnetic polarizabilities of the proton
• Nucleon Polarizibilities for Virtual Photons
• New approach to low energy Virtual Compton Scattering and generalized polarizabilities of the nucleon
• Virtual Compton Scattering at Low Energy and the Generalized Polarizabilities of the Nucleon o
• Real and Virtual Compton Scattering at Low Energies
• Radiative and non radiative muon capture on the proton in heavy baryon chiral perturbation theory
• Generalized polarizabilities and the chiral structure of the nucleon
• Hyperon forward spin polarizabilty gamma0
• Chiral effective field theories of the strong interactions
• The Proton Electromagnetic Generalized Polarizabilities
• Aligning a Majorana fermion's anapole moment with an external current through photon emission mediated by the fermion's generalized polarizabilities