A unitary and causal effective field theory

Details A unitary and causal effective field theory A unitary and causal effective field theory

2010-10-26

arxiv.org/abs/1010.5332v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, contribution to the proceedings of the MENU 2010 conference, May 31-June 4, 2010, Williamsburg VA, USA

Scientific paper

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 $\sqrt{s}\simeq 1300$ MeV in terms of the parameters relevant at order $Q^3$.

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