Pion-Nucleon Partial-Wave Analysis and the NN π Coupling Constant

  • Rob G. E. Timmermans
Part of the Few-Body Systems book series (FEWBODY, volume 9)


After some general remarks about partial-wave analysis, the method and first conclusions of a new analysis of πN scattering data across the Δ(1232) are summarized. In particular, a mini-review of the state-of-the-art with respect to the pion-nucleon coupling constant is given.


Chiral Perturbation Theory Pion Pole Charge Independence Nijmegen Group Nederlandse Organisatie Voor Wetenschappelijk Onderzoek 
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  1. 1.
    R. Koch and E. Pietarinen: Nucl. Phys. A336, 331 (1980)CrossRefGoogle Scholar
  2. 2.
    G. Höhler: In: Pion-Nucleon Scattering, edited by H. Schopper, LandoltBörnstein (New Series, Group 1, Vol. 9b, Pt. 2). Berlin: Springer-Verlag 1983Google Scholar
  3. G. Höhler: Nucl. Phys. A508, 525c (1990)ADSCrossRefGoogle Scholar
  4. 3.
    R. Koch: Z. Phys. C 29, 597 (1985)ADSCrossRefGoogle Scholar
  5. R. Koch: Nucl. Phys. A448, 707 (1986)CrossRefGoogle Scholar
  6. 4.
    S. Mandelstam: Phys. Rev. 112, 1344 (1958)MathSciNetADSCrossRefGoogle Scholar
  7. S. Mandelstam: Rep. Prog. Phys. 25, 99 (1962)ADSCrossRefGoogle Scholar
  8. 5.
    R.L. Kelly and R.E. Cutkosky: Phys. Rev. D20, 2782 (1979)ADSGoogle Scholar
  9. R.E. Cutkosky, R.E. Hendrick, J.W. Alcock, Y.A. Chao, R.G. Lipes, and J.C. Sandusky: ibid. D20, 2804 (1979)ADSGoogle Scholar
  10. R.E. Cutkosky, C.P. Forsyth, R. E. Hendrick, and R.L. Kelly: ibid. D20, 2839 (1979)ADSGoogle Scholar
  11. 6.
    R.E. Cutkosky: In: Baryon 1980, edited by N. Isgur (Proceedings of the IVth International Conference on Baryon Resonances), p. 19. Toronto: University of Toronto 1980Google Scholar
  12. 7.
    R.A. Arndt, Z. Li, L.D. Roper, and R.L. Workman: Phys. Rev. Lett. 65, 157 (1990)ADSCrossRefGoogle Scholar
  13. R.A. Arndt, Z. Li, L.D. Roper, and R.L. Workman: Phys. Rev. D43, 2131 (1991)ADSCrossRefGoogle Scholar
  14. 8.
    R.A. Arndt, R.L. Workman, and M.M. Pavan: Phys. Rev. C49, 2729 (1994)ADSGoogle Scholar
  15. 9.
    Ch. Joram et al.: Phys. Rev. C51, 2144 (1995)ADSGoogle Scholar
  16. 10.
    S. Weinberg: Phys. Rev. Lett. 17, 616 (1966)ADSCrossRefGoogle Scholar
  17. S. Weinberg: Phys. Rev. 166, 1568 (1968)ADSCrossRefGoogle Scholar
  18. 11.
    Y. Tomozawa: Il Nuovo Cimento 46A, 707 (1966)CrossRefGoogle Scholar
  19. 12.
    J. Gasser, M.E. Sainio, A. Svarc: Nucl. Phys. B307, 779 (1988)ADSCrossRefGoogle Scholar
  20. J. Gasser: Nucl. Phys. B279, 65 (1987)ADSCrossRefGoogle Scholar
  21. 13.
    J. Gasser, H. Leutwyler, and M.E. Sainio: Phys. Lett. B253, 252 (1991)Google Scholar
  22. J. Gasser, H. Leutwyler, and M. E. Sainio: ibid. B253, 260 (1991)Google Scholar
  23. 14.
    V. Bernard, N. Kaiser, and U.-G. Meissner: Phys. Lett. B309, 421 (1993)Google Scholar
  24. 15.
    J.-M. Richard, Phys. Rev. C52, 1143 (1995)ADSCrossRefGoogle Scholar
  25. 16.
    J.R. Bergervoet, P.C. van Campen, W.A. van der Sanden, and J.J. de Swart: Phys. Rev. C38, 15 (1988)ADSGoogle Scholar
  26. 17.
    J.R. Bergervoet, P.C. van Campen, R.A.M. Klomp, J.-L. de Kok, T.A. Rijken, V.G. J. Stoks, and J.J. de Swart: Phys. Rev. C41, 1435 (1990)ADSGoogle Scholar
  27. 18.
    V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, and J.J. de Swart: Phys. Rev. C48, 792 (1993)ADSGoogle Scholar
  28. 19.
    R. Timmermans, Th-.A. Rijken, and J.J. de Swart: Phys. Rev. C50, 48 (1994)ADSGoogle Scholar
  29. R. Timmermans, Th-.A. Rijken, and J. J. de Swart: ibid. C52, 1145 (1995)ADSGoogle Scholar
  30. 20.
    L. Landau and J. Smorodinsky: J. Phys. USSR 8, 154 (1944)Google Scholar
  31. 21.
    H. Feshbach and E.L. Lomon: Ann. Phys. (NY) 29, 19 (1964)MathSciNetADSCrossRefGoogle Scholar
  32. 22.
    G.J.M. Austen and J.J. de Swart: Phys. Rev. Lett. 50, 2039 (1983)ADSCrossRefGoogle Scholar
  33. 23.
    L. Durand III: Phys. Rev. 108, 1597 (1957)ADSMATHCrossRefGoogle Scholar
  34. 24.
    J.J. de Swart and M.M. Nagels: Fortschr. Phys. 26, 215 (1978)CrossRefGoogle Scholar
  35. 25.
    R.L. Jaffe and F.E. Low: Phys. Rev. D19, 2105 (1979)ADSGoogle Scholar
  36. R.L. Jaffe: In: Asymptotic Realms of Physics, edited by A.H. Guth, K. Huang, and R.L. Jaffe, p. 100. The MIT Press 1983Google Scholar
  37. 26.
    B.L.G. Bakker and P.J. Mulders: Adv. Nucl. Phys. 17, 1 (1986)Google Scholar
  38. 27.
    V. Stoks, R Timmermans, and J.J. de Swart: Phys. Rev. C47, 512 (1993)ADSGoogle Scholar
  39. 28.
    Y. Nambu: Phys. Rev. Lett. 4, 380 (1960)ADSCrossRefGoogle Scholar
  40. 29.
    M.L. Goldberger and S.B. Treiman: Phys. Rev. 110, 1178 (1958)MathSciNetADSCrossRefGoogle Scholar
  41. 30.
    D. Dubbers, W. Mampe, and J. Döhner: Europhys. Lett. 11, 195 (1990)ADSCrossRefGoogle Scholar
  42. Particle Data Group, Phys. Rev. D45, June 1994Google Scholar
  43. 31.
    B.R. Holstein: Phys. Lett. B244, 83 (1990)Google Scholar
  44. 32.
    C.A. Dominguez: Rivista del Nuovo Cimento 8, 1 (1985)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Rob G. E. Timmermans
    • 1
  1. 1.Kernfysisch Versneller InstituutGroningenthe Netherlands

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