The Goldberger-Miyazawa-Oehme sum rule revisited
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- Abaev, V.V., Metsä, P. & Sainio, M.E. Eur. Phys. J. A (2007) 32: 321. doi:10.1140/epja/i2007-10377-6
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The Goldberger-Miyazawa-Oehme sum rule is used to extract the pion-nucleon coupling constant from experimental π 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 f2 = 0.075±0.002 , where the largest source of uncertainty is the determination of the s -wave π-p scattering length from the atomic level shift measurement.