Skip to main content
Log in

Diquarks from aU (3) L ×U (3) R invariant quark Lagrangian

  • Hadron Physics
  • Published:
Zeitschrift für Physik A Atomic Nuclei

Abstract

An effective Lagrangian involving composite pseudoscalar and scalar mesons as well as scalar and pseudoscalardiquarks is derived from a chiralU(3) L ×U(3) R invariant four-quark theory using path integral methods. We obtain mass relations for the diquarks where all free parameters can be fixed in the meson sector. We also calculate weak diquark decay constants, and discuss baryon masses in terms of a quark-diquark model.

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. Ida, M., Kobayashi, R.: Phys. Rev. D32, 846 (1966)

    Google Scholar 

  2. Lichtenberg, D., Tassie, L., Keleman, P.J.: Phys. Rev.167, 1535 (1968)

    Google Scholar 

  3. Anselmino, M., Kroll, P., Pire, P.: Z. Phys. C — Particles and Fields36, 89 (1987)

    Google Scholar 

  4. Martin, A.: Z. Phys. C — Particles and Fields32, 359 (1986)

    Google Scholar 

  5. Liu, K.F., Wong, C.W.: Phys. Rev. D28, 170 (1983)

    Google Scholar 

  6. Eklin, S., Fredriksson, S., Jändel, M., Larsson, T.I.: Phys. Rev. D28, 257 (1983)

    Google Scholar 

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

    Google Scholar 

  8. Vogl, U.: University of Regensburg Preprint (in preparation)

  9. Stech, B.: Phys. Rev. D36, 975 (1987)

    Google Scholar 

  10. Stech, B.: Nucl. Phys. B7a, [Proc. Suppl.] 106 (1989)

    Google Scholar 

  11. Neubert, M., Stech, B.: Ann. New York Acad. Sci. (in print); Phys. Lett. B (in print)

  12. Nambu, Y., Jona Lasinio, G.: Phys. Rev.122, 345 (1961)

    Google Scholar 

  13. Bernard, V., Jaffe, R.L., Meißner, U.-G.: Nucl. Phys. B308, 753 (1988)

    Google Scholar 

  14. Klimt, S., Lutz, M., Vogl, U., Weise, W.: Nucl. Phys. A (in print)

  15. Ebert, D., Volkov, M.K.: Z. Phys. C — Particles and Fields16, 205 (1983)

    Google Scholar 

  16. Ebert, D., Reinhard, H.: Nucl. Phys. B271, 188 (1986)

    Google Scholar 

  17. Wakamatsu, M., Weise, W.: Z. Phys. A — Atomic Nuclei331, 173 (1988)

    Google Scholar 

  18. Kahana, D., Vogl, U.: Phys. Lett. B (submitted)

  19. Gell-Mann, M., Oakes, R., Renner, B.: Phys. Rev.175, 2195 (1968)

    Google Scholar 

  20. Gilman, F.J., Wise, M.B.: Phys. Rev. D20, 239 (1979); D27, 1128 (1983)

    Google Scholar 

  21. Jamin, M., Neubert, M.: University of Heidelberg Preprint, HD-THEP-89-27

  22. Review of particle properties. Phys. Lett B204 (1988)

  23. Reinders, L.J., Rubinstein, H., Yazaki, S.: Phys. Rep.127, 1 (1985)

    Google Scholar 

  24. Gasser, J., Leutwyler, H.: Phys. Rep. C87, 77 (1982)

    Google Scholar 

  25. e.g. Donoghue, J.F.: Phys. Rev. D30, 1322 (1984)

    Google Scholar 

  26. Isgur, N., Karl, G.: Phys. Rev. D18, 4187 (1978)

    Google Scholar 

  27. ibid., D19, 2653 (1979)

    Google Scholar 

  28. Pauli, W.: Nuovo Cimento6, 205 (1957)

    Google Scholar 

  29. Gürsey, F.: Nuovo Cimento7, 411 (1958)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work supported in part by BMFT grant 06 0R 762

I would like to thank W. Weise for many stimulating discussions and the careful reading of the manuscript. I also thank D. Kahana for his cooperation in part of the work reported here.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vogl, U. Diquarks from aU (3) L ×U (3) R invariant quark Lagrangian. Z. Physik A - Atomic Nuclei 337, 191–196 (1990). https://doi.org/10.1007/BF01294291

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01294291

PACS

Navigation