A unitary and causal effective field theory

preprint2010arXivOpen access

Abstract

We report on a novel scheme based on the chiral Lagrangian. It is used to analyze pion-nucleon scattering, pion photoproduction, and nucleon Compton scattering. Subthreshold partial-wave amplitudes are calculated in chiral perturbation theory and analytically extrapolated with constraints imposed by electromagnetic-gauge invariance, causality and unitarity. Experimental quantities are reproduced up to energies s≃1300\sqrt{s}\simeq 1300 MeV in terms of the parameters relevant at order Q3Q^3.

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