Skip to main content
Log in

Electromagnetic form factors of the nucleon in a covariant diquark model

  • Published:
Zeitschrift für Physik A Hadrons and Nuclei

Abstract

We present a simple, formally covariant constituent diquark-quark model for the nucleon. The nucleon is assumed to be composed of a scalar diquark and a quark which interact via a quark exchange. Starting from the Bethe-Salpeter equation, the instantaneous approximation leads to a diquark-quark Salpeter equation. In the Mandelstam formalism, the electromagnetic form factors of the nucleon are calculated for momentum transfers up toq 2=−3 (GeV/c)2. A remarkable description of the experimental data is obtained. Especially, the model gives the right value for the proton charge radius, a negative mean square charge radius of the neutron and a qualitative description of the magnetic form factors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Anselmino, M., Predazzi, E., Ekelin, S., Fredriksson, S., Lichtenberg, D.B.: Rev. Mod. Phys., Vol.65, No.4, 1199 (1993)

    Article  ADS  Google Scholar 

  2. Dziembowski, Z., Metzger, W.J., Van de Walle, R.T.: Z. Phys. C10, 231 (1981)

    ADS  Google Scholar 

  3. Fredriksson, S. in: Anselmino, M., Predazzi, E. (eds.): Workshop on Diquarks. Singapore: World Scientific 1989

    Google Scholar 

  4. Ishii, N., Bentz, W., Yazaki, K.: Phys. Lett. B301, 165 (1993)

    ADS  Google Scholar 

  5. Ishii, N., Bentz, W., Yazaki, K.: Phys. Lett. B318, 26 (1993)

    ADS  Google Scholar 

  6. Huang, S., Tjon, J.: Phys. Rev. C49, 1702 (1994)

    ADS  Google Scholar 

  7. Buck, A., Alkofer, R., Reinhardt, H.: Phys. Lett. B286, 29 (1992)

    ADS  Google Scholar 

  8. Hanhart, C., Krewald, S.: Phys. Lett. B344, 55 (1995)

    ADS  Google Scholar 

  9. Lichtenberg, D.B.: Phys. Rev.178, 2197 (1969)

    Article  ADS  Google Scholar 

  10. see also: Goldstein, G.R., Maharana, J.: Il Nuovo Cim.59 A, Vol. 4, 393 (1980)

    Google Scholar 

  11. Vogl, U.: Z. Phys. A337, 191 (1990)

    Google Scholar 

  12. Weiss, C., Buck, A., Alkofer, R., Reinhardt, H.: Phys. Lett. B312, 6 (1993)

    ADS  Google Scholar 

  13. Hellstern, G., Weiss, C.: Phys. Lett. B351, 64 (1995)

    ADS  Google Scholar 

  14. Cahill, R.T., Roberts, C.D., Praschifka, J., Phys. Rev. D36, 2804 (1987)

    ADS  Google Scholar 

  15. Meyer, H.: Phys. Lett. B337, 37 (1994)

    ADS  Google Scholar 

  16. Kroll, P., Schürmann, M., Schweiger, W.: Z. Phys. A338, 339 (1991)

    Google Scholar 

  17. Anselmino, M., Kroll, P., Pire, B.: Z. Phys. C36, 89 (1987)

    ADS  Google Scholar 

  18. Münz, C.R., Resag, J., Metsch, B.C., Petry, H.R.: Phys. Rev. C52, 2110 (1995)

    ADS  Google Scholar 

  19. Salpeter, E.E., Bethe, H.A.: Phys. Rev.84, 132 (1951)

    MathSciNet  Google Scholar 

  20. Nakanishi, N.: Suppl. Theor. Phys., Suppl. No.95, 1 (1988)

  21. Salpeter, E.E.: Phys. Rev.87, 328 (1952)

    Article  MATH  ADS  Google Scholar 

  22. Resag, J., Münz, C.R., Metsch, B.C., Petry, H.R.: Nucl. Phys. A578, 397 (1994)

    ADS  Google Scholar 

  23. Mandelstam, S.: Proc. Roy. Soc.233, 248 (1955)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  24. Lurie, D.: Particles and Fields. New York: Wiley-Interscience 1968

    Google Scholar 

  25. Bjorken, J.D., Drell, S.D.: Relativistic Quantum Mechanics. New York: McGraw-Hill 1964

    Google Scholar 

  26. Weise, W. in: Weise, W. (ed.): Quarks and Nuclei. Singapore: World Scientific 1984

    Google Scholar 

  27. Höhler, G. et al.: Nucl. Phys. B114, 505 (1976)

    Article  ADS  Google Scholar 

  28. Simon, G.G., Schmitt, C., Walther, V.H.: Nucl. Phys. A333, 381 (1980)

    ADS  Google Scholar 

  29. Hanson, K.M. et al.: Phys. Rev. D8, 753 (1973)

    ADS  Google Scholar 

  30. Bartel, W. et al.: Nucl. Phys. B58, 429 (1973)

    Article  ADS  Google Scholar 

  31. Itzykson, C., Zuber, J.-B.: Quantum Field Theory. New York: McGraw-Hill 1980

    Google Scholar 

  32. Keiner, V.: Z. Phys. A352, 215 (1995)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by W. Weise

This article was processed by the author using the LATEX style filePljour2 from Springer-Verlag.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Keiner, V. Electromagnetic form factors of the nucleon in a covariant diquark model. Z. Phys. A — Hadrons and Nuclei 354, 87–93 (1996). https://doi.org/10.1007/s002180050015

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002180050015

PACS

Navigation