Radiative pion capture by a nucleon

Details Radiative pion capture by a nucleon Radiative pion capture by a nucleon

2000-05-22

arxiv.org/abs/hep-ph/0005213v1

Phys.Rev. C62 (2000) 054006

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, Latex, using RevTex

Scientific paper

10.1103/PhysRevC.62.054006

The differential cross sections for $\pi^- p \to \gamma n$ and $\pi^+ n \to \gamma p$ are computed up to $O(p^3)$ in heavy baryon chiral perturbation theory (HBChPT). The expressions at $O(p)$ and $O(p^2)$ have no free parameters. There are three unknown parameters at $O(p^3)$, low energy constants of the HBChPT Lagrangian, which are determined by fitting to experimental data. Two acceptable fits are obtained, which can be separated by comparing with earlier dispersion relation calculations of the inverse process. Expressions for the multipoles, with emphasis on the p-wave multipoles, are obtained and evaluated at threshold. Generally the results obtained from the best of the two fits are in good agreement with the dispersion relation predictions.

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