Dispersion Theory in Electromagnetic Interactions

Barbara Pasquini; Marc Vanderhaeghen

doi:10.1146/annurev-nucl-101917-020843

Annual Review of Nuclear and Particle Science

Volume 68, 2018

Review Article

Free

Dispersion Theory in Electromagnetic Interactions

Barbara Pasquini^1,2 and Marc Vanderhaeghen³
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¹Dipartimento di Fisica, Università degli Studi di Pavia, 27100 Pavia, Italy; email: [email protected] ²Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, 27100 Pavia, Italy ³Institut für Kernphysik and PRISMA Cluster of Excellence, Johannes Gutenberg Universität, D-55099 Mainz, Germany
Vol. 68:75-103 (Volume publication date October 2018) https://doi.org/10.1146/annurev-nucl-101917-020843
First published as a Review in Advance on May 23, 2018
Copyright © 2018 by Annual Reviews. All rights reserved

Abstract

We review various applications of dispersion relations (DRs) to the electromagnetic structure of hadrons. We discuss the way DRs allow one to extract information about hadron structure constants by connecting information from complementary scattering processes. We consider the real and virtual Compton scattering processes off the proton, and summarize recent advances in the DR analysis of experimental data to extract the proton polarizabilities, in comparison with alternative studies based on chiral effective field theories. We discuss a multipole analysis of real Compton scattering data, along with a DR fit of the energy-dependent dynamical polarizabilities. Furthermore, we review new sum rules for the double-virtual Compton scattering process off the proton, which allow for model-independent relations between polarizabilities in real and virtual Compton scattering, and moments of nucleon structure functions. Information on double-virtual Compton scattering is used to predict and constrain the polarizability corrections to muonic hydrogen spectroscopy.

Keyword(s): Compton scattering, dispersion relations, proton polarizabilities, sum rules, two-photon exchange processes

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Dispersion Theory in Electromagnetic Interactions

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Volume 68, 2018

Review Article

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Dispersion Theory in Electromagnetic Interactions

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