Skip to main content
Log in

The three-dimensional (2 + 1)-fluid model for relativistic nuclear collisions

  • Heavy Ion Physics
  • Published:
Zeitschrift für Physik A Hadrons and Nuclei

Abstract

A new multi-fluid model is constructed for describing high-energy heavy-ion collisions. It is assumed that two baryonic fluids formed by the projectile and target nucleons produce a third hadronic fluid via inelastic nucleon-nucleon collisions. The production and expansion dynamics of the hadronic fluid are investigated in detail. Two equations of state for this fluid are considered: one corresponding to an ideal gas of pions and resonances and another one corresponding to an interacting hadron gas described by the relativistic mean-field model. The effects of freeze-out and non-zero pion chemical potential are investigated. The rapidity and transverse momentum spectra of secondary pions are compared with the experimental data forS + S collisions at 200 GeV/nucleon.

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. Stöcker, H., Greiner, W.: Phys. Rep.137, 277 (1986)

    Google Scholar 

  2. Maruhn, J., Greiner, W.: In: Treatise on heavy-ion science. Vol. 4, Bromley, D.A. (ed.), p. 565. New York: Plenum Press 1985

    Google Scholar 

  3. Clare, R.B., Strottman, D.: Phys. Rep.141, 177 (1986)

    Google Scholar 

  4. Mishustin, I.N., Russkikh, V.N., Satarov, L.M.: In: Relativistic heavy-ion physics. Vol. 6, Csernai, L.P., Strottman, D. (eds.), p. 179. Singapore: World Scientific 1991

    Google Scholar 

  5. Buchwald, G., Graebner, G., Barthel, D., Rentzsch, T., Maruhn, J.A., Greiner, W., Stöcker, H.: Nucl. Phys. A428, 357c (1984)

    Google Scholar 

  6. Schmidt, W., Waldhauser, B., Stöcker, H.: Universität Frankfurt/Main, Preprint 295 (1992)

  7. Mishustin, I.N., Russkikh, V.N., Satarov, L.M.: Sov. J. Nucl. Phys.48, 454 (1988); ibid54, 260 (1991)

    Google Scholar 

  8. Waldhauser, B., Rischke, D.H., Katscher, U., Maruhn, J.A., Stöcker, H., Greiner, W.: Z. Phys. C54, 459 (1992)

    Google Scholar 

  9. Landau, L.D., Belen'kii, S.Z.: Izv. Akad. Nauk SSSR Ser. Fiz.17, 51 (1953)

    Google Scholar 

  10. Rozental, I.L., Tarasov, Y.A.: Sov. Phys.-JETP58, 892 (1983)

    Google Scholar 

  11. Lee, K.S., Schnedermann, E., Sollfrank, J., Heinz, U.: Nucl. Phys. A525, 523 (1991)

    Google Scholar 

  12. Ornik, U., Weiner, R.M.: Phys. Lett. B263, 503 (1991)

    Google Scholar 

  13. Stachel, J., Braun-Munzinger, P.: Phys. Lett. B216, 1 (1989)

    Google Scholar 

  14. Amsden, A.A., Goldhaber, A.S., Harlow, F.H., Nix, J.R.: Phys. Rev. C17, 2080 (1978)

    Google Scholar 

  15. Ivanov, Y.B., Russkikh, V.N., Schönhofen, M., Cubero, M., Friman, B.L., Nörenberg, W.: Z. Phys. A340, 385 (1991)

    Google Scholar 

  16. Csernai, L.P., Lovas, I., Maruhn, J.A., Rosenhauer, A., Zimanyi, J., Greiner, W.: Phys. Rev. C26, 149 (1982)

    Google Scholar 

  17. Rosenhauer, A., Maruhn, J.A., Greiner, W., Csernai, L.P.: Z. Phys. A326, 213 (1987)

    Google Scholar 

  18. Satarov, L.M.: Sov. J. Nucl. Phys.52, 264 (1990)

    Google Scholar 

  19. Wenig, S.: GSI-Report, GSI-90-23 (1990)

  20. Bjorken, J.D.: Phys. Rev. D27, 140 (1983)

    Google Scholar 

  21. Antinucci, M. et al.: Nuovo Cimento6, 121 (1973)

    Google Scholar 

  22. Wong, C.Y.: Phys. Rev. D30, 972 (1984)

    Google Scholar 

  23. Boris, J.P., Book, D.L.: J. Comput. Phys.11, 38 (1973)

    Google Scholar 

  24. Schneider, V., Katscher, U., Rischke, D.H., Waldhauser, B., Maruhn, J.A., Munz, C.D.: J. Comput. Phys. (in press)

  25. Pürsün, Y. et al.: (in preparation)

  26. Serot, B.D., Walecka, J.D.: Adv. Nucl. Phys. Vol. 16, Negele, J.W., Vogt, E. (eds.). New York: Plenum Press 1985

    Google Scholar 

  27. Schaffner, J., Mishustin, I.N., Satarov, L.M., Stöcker, H., Greiner, W.: Z. Phys. A341, 47 (1991)

    Google Scholar 

  28. Rufa, M., Schaffner, J., Maruhn, J.A., Stöcker, H., Greiner, W., Reinhard, P.G.: Phys. Rev. C42, 2469 (1990)

    Google Scholar 

  29. Theis, J., Buchwald, G., Maruhn, J.A., Greiner, W., Stöcker, H., Polonyi, J.: Phys. Rev. D28, 2286 (1983)

    Google Scholar 

  30. Achenbach, Th., Rischke, D.H., Maruhn, J.A., Greiner, W.: (to be published)

  31. Cooper, F., Frye, G.: Phys. Rev. D10, 186 (1974)

    Google Scholar 

  32. Kusnezov, D., Bertsch, G.: Phys. Rev. C40, 2075 (1989)

    Google Scholar 

  33. Katscher, U., Waldhauser, B., Maruhn, J.A., Stöcker, H., Greiner, W.: GSI Annu. Rep. (1990), p. 125

  34. Landau, L.D.: Usp. Fiz. Nauk56, 309 (1955)

    Google Scholar 

  35. Kataja, M., Ruuskanen, P.V., McLerran, L., von Gersdorff, H.: Phys. Rev. D34, 2755 (1986)

    Google Scholar 

  36. Harris, J. et al.: Nucl. Phys. A498, 133c (1989)

    Google Scholar 

  37. Kowalski, M. et al.: Nucl. Phys. A544, 609c (1992)

    Google Scholar 

  38. Schnedermann, E., Heinz, U.: Phys. Rev. Lett.69, 2908 (1992)

    Google Scholar 

  39. Mishustin, I.N., Satarov, L.M., Maruhn, J.A., Stöcker, H., Greiner, W.: Phys. Lett. B276, 403 (1992)

    Google Scholar 

  40. Gorenstein, M.I., Yang, S.N., Ko, C.M.: Phys. Lett. B281, 197 (1992)

    Google Scholar 

  41. Kataja, M., Ruuskanen, P.V.: Phys. Lett. B243, 181 (1990)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors thank J. Schaffner for his most valuable assistance in the application of the mean-field model. The authors are also grateful to H. Sorge and A. Jahns for fruitful discussions. This work was supported by the Gesellschaft für Schwerionenforschung (GSI) and the Bundesministerium für Forschung und Technologie (BMFT).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Katscher, U., Rischke, D.H., Maruhn, J.A. et al. The three-dimensional (2 + 1)-fluid model for relativistic nuclear collisions. Z. Physik A - Hadrons and Nuclei 346, 209–216 (1993). https://doi.org/10.1007/BF01306081

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01306081

Pacs

Navigation