Compton scattering from chiral dynamics with unitarity and causality

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.

18 pages, 3 figures, revised version

References in corpus (5)

• Chiral Perturbation Theory and Baryon Properties
• Proton spin polarizabilities from polarized Compton scattering
• On causality, unitarity and perturbative expansions
• Higher order forward spin polarizability
• Spin observables in pion photoproduction from a unitary and causal effective field theory

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