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Compton scattering from chiral dynamics with unitarity and causality

By A. M. Gasparyan, M. F. M. Lutz and B. Pasquini

Abstract

Proton Compton scattering is analyzed with the chiral Lagrangian. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes computed in chiral perturbation theory, where the constraints set by electromagnetic-gauge invariance, causality and unitarity are used to stabilize the extrapolation. We present and discuss predictions for various spin observables and polarizabilties of the proton. While for the transition polarizabilities $\gamma_{E1M2}, \gamma_{M1E2}$ we recover the results of strict chiral perturbation theory, for the diagonal $\gamma_{E1E1}, \gamma_{M1M1}$ elements we find significant effects from rescattering.Comment: 18 pages, 3 figures, revised versio

Topics: High Energy Physics - Phenomenology
Year: 2011
DOI identifier: 10.1016/j.nuclphysa.2011.07.005
OAI identifier: oai:arXiv.org:1102.3375
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