Skip to main content
SpringerLink
Log in

Mass number scaling in ultra-relativistic nuclear collisions from a hydrodynamical approach

  • Published:
The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

Abstract

We study the different nucleus-nucleus collisions, O+Au, S+S, S+Ag, S+Au and Pb+Pb, at the CERN-SPS energy in a one-fluid hydrodynamical approach using a parametrization based on baryon stopping in terms of the thickness of colliding nuclei. Good agreement with measured particle spectra is achieved. We deduce the mass number scaling behaviour of the initial energy density. We find that the equilibration time is nearly independent of the size of the colliding nuclei.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. Satz, Proceedings of the Int. Conference on the Physics and Astrophysics of the Quark-Gluon Plasma, (Jaipur/India March 1997) edited by B.C. Sinha, D.K. Srivastava, Y.P. Viyogi, in press (University of Bielefeld preprint BI-TP 97/22;hep-ph/9706342)

  2. Proceedings of the Int. Workshop on Applicability of Relativistic Hydrodynamical Models in Heavy Ion Physics, edited by D. Strottman, L. Csernai, B. Müller, Heavy Ion Physics 5 (1997)

  3. P. Jacobs et al. (NA49 collaboration), Proceedings of the Int. Conference on the Physics and Astrophysics of the Quark-Gluon Plasma, (Jaipur/India March 1997) edited by B.C. Sinha, D.K. Srivastava, Y.P. Viyogi, in press

  4. J. Sollfrank, P. Huovinen, M. Kataja, P.V. Ruuskanen, M. Prakash, R. Venugopalan, Phys. Rev. C 55, 392(1997)

    Article  ADS  Google Scholar 

  5. U. Ornik, R.M. Weiner Phys. Lett. 263B, 503 (1991); B.R. Schlei, U. Ornik, M. Plumer, D. Strottman, R.M. Weiner Phys. Lett. 376B, 212 (1996); U. Ornik, M. Plumer, B.R. Schlei, D. Strottman, R.M. Weiner, Phys. Rev. C 54, 1381 (1996)

    ADS  Google Scholar 

  6. J. Sollfrank, P. Huovinen, P.V. Ruuskanen, Heavy Ion Physics 5, 321 (1997)

    Google Scholar 

  7. A. Bohr, B.R. Mottelson, Nuclear Structure, Vol. 1, (W.A. Benjamin,Inc, New York, 1969)

    Google Scholar 

  8. J.D. Bjørken, Phys. Rev. D 27, 140 (1983)

    Article  ADS  Google Scholar 

  9. J.L. Goity, H. Leutwyler, Phys. Lett. 228B, 517 (1989); M. Prakash, M. Prakash, R. Venugopalan, G. Welke, Phys. Rep. 227, 323 (1993); E. Schnedermann, U. Heinz, Phys. Rev. C 50, 1675 (1994); H. Sorge, Phys. Lett. 373B, 16 (1996)

    ADS  Google Scholar 

  10. F. Cooper, G. Frye, Phys. Rev. D 10, 186 (1974)

    Article  ADS  Google Scholar 

  11. J. Bächleret al. (NA35 collaboration), Phys. Rev. Lett. 72, 1419 (1994)

    Article  ADS  Google Scholar 

  12. P.G. Jones et al. (NA49 collaboration), Nucl. Phys. A610, 188c (1996)

    ADS  Google Scholar 

  13. T. Alber et al., (NA35 collaboration), Eur. Phys. J. C2, 643 (1998)

    Article  ADS  Google Scholar 

  14. M. Gazdzicki et al. (NA35 collaboration), Nucl. Phys. A590, 197c (1995)

    ADS  Google Scholar 

  15. D. Röhrich et al. (NA35 collaboration), Nucl. Phys. A566, 35c (1994)

    ADS  Google Scholar 

  16. M. Murray et al. (NA44 collaboration), in Strangeness ’ 95, AIP Conference Proceedings 340, edited by J. Rafelski, (AIP Press, 1995), p. 162

  17. T. Alber et al. (NA35 collaboration), Z. Phys. C 64, 195 (1994)

    Article  ADS  Google Scholar 

  18. R. Santo et al. (WA80 collaboration), Nucl. Phys. A566, 61c (1994)

    ADS  Google Scholar 

  19. F. Grassi, Y. Hama, T. Kodama, Phys. Lett. 355B, 9 (1995)

    ADS  Google Scholar 

  20. J. Sollfrank, J. Phys. G 23, 1903 (1997)

    Article  ADS  Google Scholar 

  21. F. Becattini, M. Gazdzicki, J. Sollfrank, Eur. Phys. J. C5, 143 (1998)

    Article  ADS  Google Scholar 

  22. B. Schlei, Heavy Ion Physics 5, 403 (1997); B. Schlei, D. Strottman, N. Xu, Phys. Rev. Lett. 80, 3467 (1998)

    Google Scholar 

  23. B. Kämpfer, preprint FZR-149 (hep-ph/9612336)

  24. C.M. Hung, E. Shuryak, Phys. Rev. C 57, 1891 (1998)

    Article  ADS  Google Scholar 

  25. U. Wiedemann, B. Tomášik, U. Heinz, Proceedings of QM’ 97, Nucl. Phys. A in press, (nucl-th/9801017)

  26. A. Dumitru, J. Brachmann, M. Bleicher, J. Mahrun, H. Stöcker, W. Greiner, Heavy Ion Physics 5, 357 (1997)

    Google Scholar 

  27. R.J. Glauber, in Lectures in Theoretical Physics, edited by W.E. Brittin, L.G. Dunham (Interscience, New York, 1959), Vol. 1, p. 315

    Google Scholar 

  28. A. Bialas, M. Bleszyńsky, W. Czyz, Nucl. Phys. B111, 461 (1976)

    Article  ADS  Google Scholar 

  29. K.J. Eskola, K. Kajantie, J. Lindfors, Nucl. Phys. B323, 37 (1989); K.J. Eskola, K. Kajantie, P.V. Ruuskanen, Phys. Lett. 332B, 191 (1994)

    Article  ADS  Google Scholar 

  30. X.N. Wang, Phys. Rep. 280, 287 (1997)

    Article  Google Scholar 

  31. L.D. Landau, Dokl. Akad. Nauk. SSSR 92, 535 and 735(1953); A.B. Migdal, Phys. Rev. 103, 1811 (1956)

    Google Scholar 

  32. J. Bächleret al. (NA35 collaboration), Z. Phys. C 52, 239 (1991)

    Article  ADS  Google Scholar 

  33. S. Margetis et al. (NA49 collaboration), Nucl. Phys. A590, 355c (1995)

    ADS  Google Scholar 

  34. E. Schnedermann, U. Heinz, Phys. Rev. C 47, 1738 (1993); E. Schnedermann, J. Sollfrank, U. Heinz, Phys. Rev. C 48, 2468 (1994); U. Mayer, U. Heinz, Phys. Rev. C 56, 439 (1997)

    Article  ADS  Google Scholar 

  35. I.G. Bearden et al. (NA44 collaboration), Phys. Rev. Lett. 78, 2080 (1997)

    Article  ADS  Google Scholar 

  36. M. Gonin et al. (NA50 collaboration), Nucl. Phys. A610, 404c (1996)

    ADS  Google Scholar 

  37. D. Kharzeev, C. Laurenzo, M. Nardi, H. Satz, Z. Phys. C 74, 307(1997); D. Kharzeev, Nucl. Phys. A610, 418c (1996)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fakultät für Physik, Universität Bielefeld, Germany

    J. Sollfrank

  2. Department of Physics, University of Jyväskylä, Finland

    P. Huovinen & P. V. Ruuskanen

Authors
  1. J. Sollfrank
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Huovinen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. V. Ruuskanen
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sollfrank, J., Huovinen, P. & Ruuskanen, P.V. Mass number scaling in ultra-relativistic nuclear collisions from a hydrodynamical approach. Eur. Phys. J. C 6, 525–536 (1999). https://doi.org/10.1007/s100529800934

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s100529800934

Keywords

Search

Navigation