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Compton scattering from chiral dynamics with unitarity and causality

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


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
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