English

Unitary and causal dynamics based on the chiral Lagrangian

High Energy Physics - Phenomenology 2011-02-11 v1

Abstract

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 s1300\sqrt{s}\simeq 1300 MeV in terms of the parameters relevant at order Q3Q^3. A striking puzzle caused by an old photon asymmetry measurement close to the pion production threshold is discussed.

Keywords

Cite

@article{arxiv.1010.4192,
  title  = {Unitary and causal dynamics based on the chiral Lagrangian},
  author = {A. M. Gasparyan and M. F. M. Lutz},
  journal= {arXiv preprint arXiv:1010.4192},
  year   = {2011}
}

Comments

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

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