Skip to main content
Log in

Dynamics of pp collisions at small impact parameters, universality of cross sections of hadron-hadron collisions and critical phenomena at superhigh energies

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

Studies of the small x dynamics at HERA energies allow one to quantify the range of momentum transfers and energies for which strength of the interaction approaches the maximum strength allowed by the unitarity in the gluon channel (black disk limit-BDL). Implications for the proton-proton interactions at collider energies (Tevatron, LHC) include a dominance of BDL up to transverse momenta of hadrons (jets) in the final state of a few GeV for collisions at small impact parameters, and explanation of proximity of the profile function of pp interaction to one at small impact parameters, leading to the universality of cross sections at superhigh energies. We discuss briey theoretical challenges in the applications of pQCD to small x phenomena, the onset of BDL for hard processes at large energies and universal limiting behavior: F 2, xG ∝ ln3(x o/x), σ(γ T) ∝ ln3(s/s o). We explain that the onset of BDL should be accompanied by generic nonlinear phenomena for the produced states such as kinks, different symmetry of final states, etc and related tunneling transitions. Characteristic features of QCD physics of central collisions at ultrahigh energies correspond to a new regime: (i) interaction is dominated by hard interactions of quarks and gluons leading to disappearance of the soft physics and hadronic degrees of freedom, (ii) change with energy of the space-time evolution of produced quark-gluon states, (iii) change of the avor composition of the produced system, (iv) formation of a color network, etc. Hence, such collisions are likely to result in the production of new forms of the QCD matter. We also comment on the implications of the discussed physics for cosmic ray interactions at ultrahigh energies and on the methods to get information necessary for modeling cosmic rays at energies much higher than LHC using planned experiments at LHC.

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. S. J. Brodsky, L. Frankfurt, J. F. Gunion, A. H. Mueller and M. Strikman, Phys.Rev. D 50 (1994) 3134.

    Article  ADS  Google Scholar 

  2. J. C. Collins, L. Frankfurt and M. Strikman, Phys. Rev. D 56 (1997) 2982.

    Article  ADS  Google Scholar 

  3. L. Frankfurt, M. Strikman and C. Weiss, Annu. Rev. Nucl. Part. Sci. 55 (2005) 403.

    Article  ADS  Google Scholar 

  4. L. Frankfurt and M. Strikman, Phys. Rev. D 66 (2002) 031502.

    Google Scholar 

  5. M. Strikman and C. Weiss, Phys. Rev. D 69 (2004) 054012.

  6. T. Rogers, V. Guzey, M. Strikman and X. Zu, Phys. Rev. D 69 (2004) 074011.

  7. L. V. Gribov, E. M. Levin and M. G. Ryskin, Phys. Rept. 100 (1983) 1.

    Article  ADS  Google Scholar 

  8. L. Frankfurt, W. Koepf and M. Strikman, Phys.Rev. D 54 (1996) 3194.

    Article  ADS  Google Scholar 

  9. L. Frankfurt, M. Strikman and C. Weiss, Phys. Rev. D 69 (2004) 114010.

    Google Scholar 

  10. L. Frankfurt, M. Strikman and M. Zhalov, Phys. Lett. B 616 (2005) 59.

    Article  ADS  Google Scholar 

  11. M. Ciafaloni, G. Camici, Phys. Lett. B 430 (1998) 349. M. Ciafaloni, D. Colferai, Phys. Lett. B 452 (1999) 372.

    Article  ADS  Google Scholar 

  12. V.S. Fadin, L.N. Lipatov, Phys. Lett. B 429 (1998) 127.

    Article  ADS  Google Scholar 

  13. J. D. Bjorken, SLAC-PUB-1017 Presented at Conf. on Particle Physics, Irvine, Calif., Dec 3–4,1971.

  14. L. L. Frankfurt and M. I. Strikman, Phys. Rept. 160 (1988) 235.

    Article  ADS  Google Scholar 

  15. G. P. Salam, arXiv:hep-ph/0510090.

  16. L. Frankfurt, V. Guzey, M. McDermott and M. Strikman, Phys. Rev. Lett. 87 (2001) 192301.

    Google Scholar 

  17. K. Itakura, arXiv:hep-ph/0309127.

  18. J. Bartels, M. G. Ryskin and G. P. Vacca, Eur. Phys. J. C27 (2003) 101.

    ADS  Google Scholar 

  19. H. J. Drescher, A. Dumitru and M. Strikman, Phys. Rev. Lett. 94 (2005) 231801. H. J. Drescher, A. Dumitru and M. Strikman, arXiv:hep-ph/0501165

  20. O. Adriani, talk at the conference. O. Adriani et al. [LHCf Collaboration], “Technnical proposal for the CERN LHCf experiment: Measurement of photons and neutral pions in the very forward region of LHC},” CERN-LHCC-2005-03

  21. M. McDermott, L. Frankfurt, V. Guzey and M. Strikman, Eur. Phys. J. C16 (2000) 641.

    Article  ADS  Google Scholar 

  22. T. C. Rogers and M. I. Strikman, arXiv:hep-ph/0512311.

  23. A. Donnachie and P. V. Landshoff, Phys. Lett. B 518 (2001) 63.

    Article  ADS  Google Scholar 

  24. A. I. Shoshi, F. D. Steffen and H. J. Pirner, Nucl. Phys. A 709 (2002) 131.

    Article  MATH  ADS  Google Scholar 

  25. V. Gribov and A. Migdal, Sov. Phys. JETP 78 (1969) 784; Sov. J. of Nucl. Phys. 8 (1969) 583.

    ADS  Google Scholar 

  26. H. Abramowicz, L. Frankfurt, M. Strikman, Surveys High Energ. Phys. 11 (1997) 51, Also in SLAC Summer Inst.1994:0539-574

  27. V.N. Gribov, Theory of complex angular momenta: Gribov lectures on theoretical physics, Cambridge Univ. Press, 2003.

  28. D. Amati, M. Le Bellac, G. Marchesini and M. Ciafaloni, Nucl. Phys. B 112 (1976) 107. V. Alessandrini, D. Amati and M. Ciafaloni, Nucl. Phys. B 130 (1977) 429.

    Article  ADS  Google Scholar 

  29. B. Blok and L. Frankfurt, arXiv:hep-ph/0508218, arXiv:hep-ph/0510345.

  30. L. Frankfurt and M. Strikman, Phys. Rev. Lett. 91 (2003) 022301.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Frankfurt, L., Strikman, M. Dynamics of pp collisions at small impact parameters, universality of cross sections of hadron-hadron collisions and critical phenomena at superhigh energies. Czech J Phys 56 (Suppl 1), A63–A75 (2006). https://doi.org/10.1007/s10582-006-0143-1

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10582-006-0143-1

Key words

Navigation