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The Goldberger-Miyazawa-Oehme sum rule revisited

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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.

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References

  1. M.L. Goldberger, H. Miyazawa, R. Oehme, Phys. Rev. 99, 986 (1955).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. J. Hamilton, W.S. Woolcock, Rev. Mod. Phys. 35, 737 (1963).

    Article  ADS  Google Scholar 

  3. L.M. Simons, Int. J. Mod. Phys. A 20, 1644 (2005).

    Article  ADS  Google Scholar 

  4. H.-Ch. Schröder, Eur. Phys. J. C 21, 473 (2001).

    ADS  Google Scholar 

  5. J. Gasser, M.A. Ivanov, E. Lipartia, M. Mojžiš, A. Rusetsky, Eur. Phys. J. C 26, 13 (2002) [arXiv:hep-ph/0206068].

    ADS  Google Scholar 

  6. D. Sigg, A. Badertscher, P.F.A. Goudsmit, H.J. Leisi, G.C. Oades, Nucl. Phys. A 609, 310 (1996).

    Article  ADS  Google Scholar 

  7. T.E.O. Ericson, B. Loiseau, S. Wycech, Phys. Lett. B 594, 76 (2004) [arXiv:hep-ph/0310134].

    Article  ADS  Google Scholar 

  8. S. Deser, M.L. Goldberger, K. Baumann, W. Thirring, Phys. Rev. 96, 774 (1954).

    Article  ADS  Google Scholar 

  9. J. Spuller, Phys. Lett. B 67, 479 (1977).

    Article  ADS  Google Scholar 

  10. P. Zemp, PhD Thesis, University of Berne (2004).

  11. L.M. Simons, in arXiv:hep-ph/0610201, p. 8.

  12. V.V. Abaev, in preparation.

  13. B. Tromborg, S. Waldenstrøm, I. Øverbø, Phys. Rev. D 15, 725 (1977).

    Article  ADS  Google Scholar 

  14. P. Metsä, HIP-2007-20/TH, 2007, unpublished.

  15. E. Matsinos, W.S. Woolcock, G.C. Oades, G. Rasche, A. Gashi, Nucl. Phys. A 778, 95 (2006) [arXiv:hep-ph/0607080].

    Article  ADS  Google Scholar 

  16. R.A. Arndt, W.J. Briscoe, I.I. Strakovsky, R.L. Workman, M.M. Pavan, Phys. Rev. C 69, 035213 (2004) [arXiv:nucl-th/0311089].

    Article  ADS  Google Scholar 

  17. R. Koch, E. Pietarinen, Nucl. Phys. A 336, 331 (1980).

    Article  ADS  Google Scholar 

  18. http://pdg.lbl.gov/2006/hadronic-xsections/ hadron.html.

  19. J. Rix, R.M. Thaler, Phys. Rev. 152, 1357 (1966).

    Article  ADS  Google Scholar 

  20. D.V. Bugg, A.A. Carter, Phys. Lett. B 48, 67 (1974).

    Article  ADS  Google Scholar 

  21. T.E.O. Ericson, B. Loiseau, A.W. Thomas, Phys. Rev. C 66, 014005 (2002) [arXiv:hep-ph/0009312].

    Article  ADS  Google Scholar 

  22. G. Höhler, Pion-Nucleon Scattering, Landolt-Börnstein, Vol. I/9b2 (Springer, Berlin, 1983).

  23. A. Donnachie, P.V. Landshoff, Phys. Lett. B 296, 227 (1992) [arXiv:hep-ph/9209205].

    Article  ADS  Google Scholar 

  24. P. Gauron, B. Nicolescu, Phys. Lett. B 486, 71 (2000) [arXiv:hep-ph/0004066].

    Article  ADS  Google Scholar 

  25. W.-M. Yao, J. Phys. G 33, 1 (2006).

    Article  ADS  Google Scholar 

  26. R. Koch, Z. Phys. C 29, 597 (1985).

    Article  Google Scholar 

  27. G. Höhler, F. Kaiser, Karlsruhe report, KfK 3027 (1980) unpublished.

  28. R. Koch, Karlsruhe TKP 85-5, 1985, unpublished.

  29. W.R. Gibbs, Li Ai, W.B. Kaufmann, Phys. Rev. C 57, 784 (1998) [arXiv:nucl-th/9704058].

    Article  ADS  Google Scholar 

  30. A.A. Carter, J.R. Williams, D.V. Bugg, P.J. Bussey, D.R. Dance, Nucl. Phys. B 26, 445 (1971).

    Article  ADS  Google Scholar 

  31. E. Pedroni, Nucl. Phys. A 300, 321 (1978).

    ADS  Google Scholar 

  32. N. Fettes, U.-G. Meißner, Nucl. Phys. A 693, 693 (2001) [arXiv:hep-ph/0101030].

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Petersburg Nuclear Physics Institute, 188300, Gatchina, Russia

    V. V. Abaev

  2. Department of Physical Sciences, University of Helsinki, P.O. Box 64, 00014, Finland

    P. Metsä

  3. Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014, Finland

    M. E. Sainio

Authors
  1. V. V. Abaev
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  2. P. Metsä
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  3. M. E. Sainio
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U.-G. Meißner

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Abaev, V.V., Metsä, P. & Sainio, M.E. The Goldberger-Miyazawa-Oehme sum rule revisited. Eur. Phys. J. A 32, 321–325 (2007). https://doi.org/10.1140/epja/i2007-10377-6

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  • DOI: https://doi.org/10.1140/epja/i2007-10377-6

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