Dispersion relation formalism for virtual Compton scattering and the generalized polarizabilities of the nucleon

Abstract

A dispersion relation formalism for the virtual Compton scattering (VCS) reaction on the proton is presented, which for the first time allows a dispersive evaluation of 4 generalized polarizabilities at a four-momentum transfer $Q^2\le$ 0.5 GeV${}^2$. The dispersive integrals are calculated using a state-of-the-art pion photo- and electroproduction analysis. The dispersion formalism provides a new tool to analyze VCS experiments above pion threshold, thus increasing the sensitivity to the generalized polarizabilities of the nucleon.

4 pages, 2 figures

References in corpus (3)

• Fixed-t subtracted dispersion relations for Compton scattering off the nucleon
• The first determination of Generalized Polarizabilities of the proton by a Virtual Compton Scattering experiment
• Generalized Polarizabilities of the Nucleon in Chiral Effective Theories

Cited by in corpus (15)

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• Light-front interpretation of Proton Generalized Polarizabilities
• Generalized spin polarizabilities of the nucleon in Heavy Baryon Chiral Perturbation Theory at order $\mathcal{O}(p^4)$
• 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
• Real and Virtual Compton Scattering off the Nucleon
• Measured proton electromagnetic structure deviates from theoretical predictions
• New Insight in the $Q^2$-Dependence of Proton Generalized Polarizabilities
• Nucleon Polarizabilities: Theory
• Virtual Compton scattering at low energies with a positron beam
• The Proton Electromagnetic Generalized Polarizabilities