The Goldberger-Miyazawa-Oehme sum rule revisited

dc.creatorAbaev, V. V.
dc.creatorMetsä, P.
dc.creatorSainio, M. E.
dc.date2007-04-24
dc.date2007-05-21
dc.date.accessioned2026-07-07T10:59:43Z
dc.date.available2026-07-07T10:59:43Z
dc.descriptionThe 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 $f^2 = 0.075 \pm 0.002$, where the largest source of uncertainty is the determination of the s-wave $π^- p$ scattering length from the atomic level shift measurement.
dc.description4 pages, 1 figure. v2: Revised the second last paragraph of 5th section and clarified the electromagnetic corrections (Tromborg vs. $χ$PT). Also removed the KH80 slope from the fig. 1
dc.identifierhttps://arxiv.org/abs/0704.3167
dc.identifierhttp://arxiv.org/abs/0704.3167
dc.identifierEur.Phys.J.A32:321-325,2007
dc.identifierdoi:10.1140/epja/i2007-10377-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187500
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe Goldberger-Miyazawa-Oehme sum rule revisited
dc.typetext

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