Regular Article - Hadron Physics

The European Physical Journal A

, Volume 32, Issue 3, pp 321-325

First online:

The Goldberger-Miyazawa-Oehme sum rule revisited

  • V. V. AbaevAffiliated withPetersburg Nuclear Physics Institute
  • , P. MetsäAffiliated withDepartment of Physical Sciences, University of Helsinki
  • , M. E. SainioAffiliated withHelsinki Institute of Physics, University of Helsinki

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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 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.


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