The Goldberger-Miyazawa-Oehme sum rule revisited

Details The Goldberger-Miyazawa-Oehme sum rule revisited The Goldberger-Miyazawa-Oehme sum rule revisited

2007-04-24

arxiv.org/abs/0704.3167v2

Eur.Phys.J.A32:321-325,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 1 figure. v2: Revised the second last paragraph of 5th section and clarified the electromagnetic corrections (Trombor

Scientific paper

10.1140/epja/i2007-10377-6

The Goldberger-Miyazawa-Oehme sum rule is used to extract the pion-nucleon coupling constant from experimental $\pi$N information. Chiral perturbation theory is exploited in relating the pionic hydrogen s-wave level shift and width results to the appropriate scattering lengths. The deduced value for the coupling is $f^2 = 0.075 \pm 0.002$, where the largest source of uncertainty is the determination of the s-wave $\pi^- p$ scattering length from the atomic level shift measurement.

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