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The European Physical Journal A

, Volume 32, Issue 3, pp 321–325 | Cite as

The Goldberger-Miyazawa-Oehme sum rule revisited

  • V. V. Abaev
  • P. Metsä
  • M. E. Sainio
Regular Article - Hadron Physics

Abstract.

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 f 2 = 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.

PACS.

13.75.Gx Pion-baryon interactions 14.20.Dh Protons and neutrons 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2007

Authors and Affiliations

  • V. V. Abaev
    • 1
  • P. Metsä
    • 2
  • M. E. Sainio
    • 3
  1. 1.Petersburg Nuclear Physics InstituteGatchinaRussia
  2. 2.Department of Physical SciencesUniversity of HelsinkiFinland
  3. 3.Helsinki Institute of PhysicsUniversity of HelsinkiFinland

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