The missing odderon

  • A. DonnachieEmail author
  • H. G. Dosch
  • O. Nachtmann
Theoretical Physics


In contrast to theoretical expectations, experimental results at \(\sqrt{s} = 200\) GeV for the reaction γp → π0 X show no evidence for odderon exchange. The upper limit on the cross section is an order of magnitude smaller than the theoretical estimate. It is argued that chiral symmetry leads to a large suppression, taking the theoretical estimates well below the data. Two additional arguments are presented which may decrease the theoretical estimate further. The calculations are more sensitive to the assumptions made in evaluating the hadronic scattering amplitude than in the processes considered previously and lattice gauge calculations indicate that the odderon intercept may be appreciably lower than usually assumed. These two latter effects are particularly relevant for the reactions γp\(f_2^0(1270) X\) and γp\(a_2^0(1320) X\) for which the data upper limits are also below the theoretical predictions, but not so dramatically as for γp → π0 X.


Field Theory Elementary Particle Quantum Field Theory Theoretical Prediction Chiral Symmetry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. Donnachie, H.G. Dosch, P.V. Landshoff, O. Nachtmann, Pomeron physics and QCD (Cambridge University Press 2002)Google Scholar
  2. 2.
    L. Lukaszuk, B. Nicolescu, Nuov. Cim. Lett. 8, 405 (1973); D. Joynson, E. Leader, C. Lopez, B. Nicolescu, Nuov. Cim. A 30, 345 (1975); B. Nicolescu in Protvino 1999, Elastic and diffractive scattering, edited by V.A Petrov, A.V. Prokudin (World Scientific, Singapore 2005) [hep-ph/9911334]Google Scholar
  3. 3.
    R.A. Janik, J. Wosiek, Phys. Rev. Lett. 82, 1092 (1999); J. Bartels, L.N. Lipatov, G.P. Vacca, Phys. Lett. B 477, 178 (2000)CrossRefADSGoogle Scholar
  4. 4.
    C. Ewerz, The Odderon in Quantum Chromodynamics, hep-ph/0306137Google Scholar
  5. 5.
    P. Desgrolard, M. Giffon, E. Predazzi, Z. Phys. C 63, 241 (1994)CrossRefGoogle Scholar
  6. 6.
    N.A. Amos et al. , E710 Collaboration, Phys. Rev. Lett 68, 2433 (1992); C. Augier et al. , UA4/2 Collaboration, Phys. Lett. B 316, 448 (1993)CrossRefGoogle Scholar
  7. 7.
    A. Donnachie, P.V. Landshoff, Nucl. Phys. B 267, 690 (1986)CrossRefADSGoogle Scholar
  8. 8.
    M. Rueter, H.G. Dosch, Phys. Lett. B 380, 177 (1996)CrossRefADSGoogle Scholar
  9. 9.
    A. Breakstone et al. , Phys. Rev. Lett. 54, 2180 (1985)CrossRefGoogle Scholar
  10. 10.
    A. Sch\" afer, L. Mankiewicz, O. Nachtmann, in Workshop on Physics at HERA 1991, edited by W. Buchm\" uller, G. Ingelman, DESY (1992); W. Kilian, O. Nachtmann, Eur. Phys. J. C 5, 317 (1998)Google Scholar
  11. 11.
    V.V. Barahovsky, I.R. Zhitnitsky, A.N. Shelkovenko, Phys. Lett. B 267, 532 (1991)CrossRefADSGoogle Scholar
  12. 12.
    E.R. Berger et al. , Eur. Phys. J. C 9, 491 (1999)CrossRefGoogle Scholar
  13. 13.
    E.R. Berger, A. Donnachie, H.G. Dosch, O. Nachtmann, Eur. Phys. J. C 14, 673 (2000)ADSGoogle Scholar
  14. 14.
    C. Adloff et al. , H1 Collaboration, Phys. Lett. B 544, 35 (2002)CrossRefADSGoogle Scholar
  15. 15.
    T. Berndt (for the H1 Collaboration), Acta Phys. Polonica B 33, 3499 (2002)Google Scholar
  16. 16.
    O. Nachtmann, Ann. Phys. 209, 436 (1991)CrossRefzbMATHGoogle Scholar
  17. 17.
    A. Krämer, H.G. Dosch, Phys. Lett. B 272, 114 (1991); H.G. Dosch, E. Ferreira, A. Krämer, Phys. Lett. B 289, 153 (1992)CrossRefADSGoogle Scholar
  18. 18.
    H.G. Dosch, Phys. Lett. B 190, 177 (1987); H.G. Dosch, Yu.A. Simonov, Phys. Lett. B 205, 339 (1988)CrossRefADSGoogle Scholar
  19. 19.
    H.G. Dosch, E. Ferreira, A. Kr\" amer, Phys. Rev. D 50, 1992 (1994); E. Ferreira, F. Pereira, Phys. Rev. D 55, 130 (1997); H.G. Dosch, T. Gousset, G. Kulzinger, H.J. Pirner, Phys. Rev. D 55, 2602 (1997); E. Ferreira, F. Pereira, Phys. Rev. D 56, 179 (1997); H.G. Dosch, T. Gousset, H.J. Pirner, Phys. Rev. D 57, 1666 (1998); M. Rueter, H.G. Dosch, Phys. Rev D 57, 4097 (1998); G. Kulzinger, H.G. Dosch, H.J. Pirner, Eur. Phys. J. C 7, 73 (1999); E. Berger, O. Nachtmann, Eur. Phys. J. C 7, 459 (1999)CrossRefADSGoogle Scholar
  20. 20.
    C. Ewerz, O. Nachtmann, to be publishedGoogle Scholar
  21. 21.
    C. Ewerz, O. Nachtmann, Towards a Nonperturbative Foundation of the Dipole Picture. I: Functional methods, hep-ph/0404254Google Scholar
  22. 22.
    C. Ewerz, O. Nachtmann, Towards a Nonperturbative Foundation of the Dipole Picture: II. High Energy Limit, to be publishedGoogle Scholar
  23. 23.
    J. Gasser, H. Leutwyler, Phys. Rep. 87, 77 (1982)CrossRefADSGoogle Scholar
  24. 24.
    A. Di Giacomo, H.G. Dosch, V.I. Shevchenko, Yu.A. Simonov, Phys. Rep. 372, 319 (2002)CrossRefADSzbMATHMathSciNetGoogle Scholar
  25. 25.
    N.G. van Kampen, Phys. Rep. C 24, 172 (1976)Google Scholar
  26. 26.
    M. Rueter, H.G. Dosch, Z. Phys. C 66, 245 (1995)CrossRefGoogle Scholar
  27. 27.
    O. Nachtmann, in Perturbative and Nonperturbative Aspects of Quantum Field Theory, edited by H. Latal, W. Schweiger (Springer, Berlin, Heidelberg 1997)Google Scholar
  28. 28.
    A.I. Shoshi, F.D. Steffen, H.G. Dosch, H.J. Pirner, Phys. Rev. D 68, 074004 (2003)CrossRefADSGoogle Scholar
  29. 29.
    H.G. Dosch, C. Ewerz, V. Schatz, Eur. Phys. J. C 24, 561 (2002) [hep-ph/0201294]CrossRefADSGoogle Scholar
  30. 30.
    C.J. Morningstar, M.J. Peardon, Phys. Rev. D 60, 034509 (1999)CrossRefADSGoogle Scholar
  31. 31.
    H.B. Meyer, M.J. Teper, Phys. Lett. B 605, 344 (2005)CrossRefADSGoogle Scholar
  32. 32.
    Yu.A. Simonov, A.B. Kaidalov, Phys. Lett. B 477, 163 (2000)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.University of ManchesterSchool of Physics and AstronomyManchesterU.K.
  2. 2.Universität HeidelbergInstitut für Theoretische PhysikHeidelbergGermany

Personalised recommendations