Unitary and causal dynamics based on the chiral Lagrangian

Details Unitary and causal dynamics based on the chiral Lagrangian Unitary and causal dynamics based on the chiral Lagrangian

2010-10-20

arxiv.org/abs/1010.4192v1

AIP Conf.Proc.1322:232-240,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Invited plenary talk at Chiral 10 Workshop, Valencia (Spain), June 21-24, 2010

Scientific paper

10.1063/1.3541986

Pion-nucleon scattering, pion photoproduction, and nucleon Compton scattering are analyzed within a scheme based on 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. Experimental data are reproduced up to energies $\sqrt{s}\simeq 1300$ MeV in terms of the parameters relevant at order $Q^3$. A striking puzzle caused by an old photon asymmetry measurement close to the pion production threshold is discussed.

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