Parton models for weak and electromagnetic interactions

  • M. Gourdin
Part of the Lecture Notes in Physics book series (LNP, volume 37)


A complete study of the application of the quark parton model to electromagnetic and weak interactions would involve more topics than those considered here, namely the two sets of processes
  1. (i)

    Semi-inclusive reactions where one or more hadrons in the final state is detected in coincidence with the final leptons

  2. (ii)

    Electron-positron annihilation into hadrons.


The application of the parton model to semi-inclusive reactions implies new assumptions concerning the production mechanism and, to my point of view, the central point is to construct a model where the non observation of quarks and antiquarks as free particles in the final state — which is an experimental fact — appears as a natural consequence of the dynamics used to describe the production of hadrons. To my knowledge, the various proposals made are not totally satisfactory in this respect.

The description of annihilation processes with a quark parton model is generally made using a two-step mechanism; first a quark-antiquark pair is produced via one photon exchange or some less conventional way as that proposed by Pati and Salam, and then this quark-antiquark pair annihilates into hadrons in a way which again prevents the observation of a \(q\bar q\) pair in the final state. The data produced by CEA and SPEAR lead a naive quark parton model into difficulties, the total cross section for e+e → HADRONS being roughly constant between 9 and 25 GeV2 for the squared total energy s. Therefore, the timelike region appears to behave differently from the spacelike one and satisfactory answers have not yet been given to this apparent contradiction, which is very important if experimentally confirmed.


Total Cross Section Differential Cross Section Parton Model Hadronic Tensor Quark Parton Model 
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. J. D. Bjorken, Phys. Rev. 148, 1467 (1966); D1, 1376 (1971).CrossRefGoogle Scholar
  2. J. Kuti and V. F. Weisskopf, Phys. Rev. D4, 3418 (1971).Google Scholar
  3. M. Gourdin, Nucl. Phys. B38, 418 (1972).Google Scholar
  4. J. Kuti, Invited talk at the VIIIth Rencontre de Moriond, Méribel (1973).Google Scholar
  5. F. E. Close, Invited talk at the IXth Rencontre de Moriond, Méribel (1974).Google Scholar
  6. A. Hey, Invited talk at the IXth Rencontre de Moriond, Méribel (1974)Google Scholar
  7. A. Love, G.G. Ross and D.V. Nanopoulos, Nucl. Phys. B49, 513 (1972).Google Scholar
  8. E. Petronzio, Rome preprint 411 (1972).Google Scholar
  9. E. Derman, Phys. Rev. D7, 2755 (1973).Google Scholar
  10. S. M. Berman and J. R. Primack, SLAC-PUB 1360 (1973). W. J. Wilson, Harvard preprint (1974).Google Scholar
  11. C. P. Korthals-Altes, M. Perrottet and E. De Rafael, Marseille preprint 74/P595 (1974).Google Scholar
  12. C. H. Llewellyn Smith and D. V. Nanopoulos, CERN preprint TH.1850 (1974).Google Scholar
  13. M. Gourdin, Invited talk at the IXth Balaton Symp. (1974).Google Scholar
  14. M. S. Chanowitz and S.D. Drell, Phys. Rev. Letters 30, 807 (1973)Google Scholar
  15. S. D. Drell, Report to the Intern. Symp. on Electron and Photon Interactions at High Energies, Bonn (1973).Google Scholar
  16. V. Barger, Wisconsin preprint (1973)Google Scholar
  17. K. Wilson, Phys. Rev. 179, 1499 (1969).Google Scholar
  18. M. Gell-Mann and F. Low, Phys. Rev. 95, 1300 (1954).Google Scholar
  19. E.C.G. Stückelberg and A. Petermann, Helv. Phys. Acta 26, 499 (1953)Google Scholar
  20. C.G. Callan Jr., Phys. Rev. D2, 1541 (1970).Google Scholar
  21. K. Symanzik, Commun. Math. Phys. 18, 227 (1970).Google Scholar
  22. S. Coleman, Lectures at the Erice Summer School (1971).Google Scholar
  23. C. G. Callan Jr., Phys. Rev. D5, 3203 (1972)Google Scholar
  24. G. Parisi, Phys. Letters 50B, 367 (1974).Google Scholar
  25. G.'t Hooft, unpublished.Google Scholar
  26. D. J. Gross and F. Wilczek, Phys. Rev. Letters 30, 1343 (1973); Phys. Rev. D8, 3633 (1973); Phys. Rev. D9, 993 (1974).Google Scholar
  27. H.D. Politzer, Phys. Rev. Letters 30, 1346 (1973).Google Scholar
  28. T. Appelquist and H. Georgi, Phys. Rev. D8, 4000 (1973).Google Scholar
  29. A. Zee, Phys. Rev. D, to be published.Google Scholar
  30. H. Georgi and H. D. Politzer, Phys. Rev. D9, 416 (1974).Google Scholar
  31. M. Veltman, Report to the Intern. Symp. on Electron and Photon Interactions at High Energies, Bonn (1973).Google Scholar
  32. C. G. Callan Jr., Lectures given at the Cargese Summer Institute (1973).Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • M. Gourdin
    • 1
  1. 1.Laboratoire de Physique Théorique et Hautes EnergiesUniversité Paris VIFrance

Personalised recommendations