6533b832fe1ef96bd129a559

RESEARCH PRODUCT

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

Marc VanderhaeghenMikhail GorchteinAndreas MetzDieter DrechselB. Pasquini

subject

PhysicsNuclear and High Energy PhysicsParticle physicsNuclear TheoryCompton scatteringFOS: Physical sciencesFormalism (philosophy of mathematics)High Energy Physics - PhenomenologyPionHigh Energy Physics - Phenomenology (hep-ph)Dispersion relationQuantum electrodynamicsNucleonNuclear Experiment

description

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 $Q^2 \leq$ 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.

https://dx.doi.org/10.48550/arxiv.hep-ph/0007144