Journal of Experimental and Theoretical Physics

, Volume 97, Issue 3, pp 441–465 | Cite as

Nonlinear k-factorization for forward dijets in deep inelastic scattering off nuclei in the saturation regime

  • N. N. Nikolaev
  • W. Schäfer
  • B. G. Zakharov
  • V. R. Zoller
Nuclei, Particles, and Their Interaction

Abstract

We develop a QCD description of the breakup of photons into forward dijets in small-x deep inelastic scattering off nuclei in the saturation regime. Based on the color dipole approach, we derive a multiple scattering expansion for intranuclear distortions of the jet-jet transverse momentum spectrum. Special attention is paid to the non-Abelian aspects of the propagation of color dipoles in the nuclear medium. We report a nonlinear k-factorization formula for the breakup of photons into dijets in terms of the collective Weizsäcker-Williams glue of nuclei defined in [5, 6]. For hard dijets with the transverse momenta above the saturation scale, the azimuthal decorrelation (acoplanarity) momentum is on the order of the nuclear saturation momentum QA. For minijets with the transverse momentum below the saturation scale, the nonlinear k-factorization predicts a complete disappearance of the jet-jet correlation. We comment on possible relevance of the nuclear decorrelation of jets to the experimental data from the STAR-RHIC Collaboration.

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References

  1. 1.
    E. Leader and E. Predazzi, Introduction to Gauge Theories and Modern Particle Physics (Cambridge Univ. Press, Cambridge, 1996), Vol. 1; G. Sterman, An Introduction to Quantum Field Theory (Cambridge Univ. Press, Cambridge, 1993).Google Scholar
  2. 2.
    A. H. Mueller, Nucl. Phys. B 558, 285 (1999); in Lectures at the Cargése Summer School (2001); hep-ph/0111244.CrossRefADSGoogle Scholar
  3. 3.
    A. H. Mueller, Nucl. Phys. B 335, 115 (1990).CrossRefADSMathSciNetGoogle Scholar
  4. 4.
    L. McLerran and R. Venugopalan, Phys. Rev. D 49, 2233 (1994); J. Jalilian-Marian, A. Kovner, L. D. McLerran, and H. Weigert, Phys. Rev. D 55, 5414 (1997); E. Iancu, A. Leonidov, and L. McLerran, in Lectures at the Cargése Summer School (2001); hep-h/0202270.ADSGoogle Scholar
  5. 5.
    N. N. Nikolaev, W. Schäfer, B. G. Zakharov, and V. R. Zoller, JETP Lett. 76, 195 (2002).CrossRefADSGoogle Scholar
  6. 6.
    N. N. Nikolaev, W. Schäfer, and G. Schwiete, Pis’ma Zh. Éksp. Teor. Fiz. 72, 583 (2000) [JETP Lett. 72, 405 (2000)]; Phys. Rev. D 63, 014020 (2001).Google Scholar
  7. 7.
    L. N. Lipatov, Yad. Fiz. 23, 642 (1976) [Sov. J. Nucl. Phys. 23, 338 (1976)]; E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Zh. Éksp. Teor. Fiz. 71, 840 (1976) [Sov. Phys. JETP 44, 443 (1976)]; Zh. Éksp. Teor. Fiz. 72, 377 (1977) [Sov. Phys. JETP 45, 199 (1977)]; Ya. Ya. Balitsky and L. N. Lipatov, Yad. Fiz. 28, 1597 (1978) [Sov. J. Nucl. Phys. 28, 822 (1978)].Google Scholar
  8. 8.
    I. P. Ivanov, N. N. Nikolaev, W. Schäfer, et al., in Proceedings of 36th Annual Winter School on Nuclear and Particle Physics and 8th St. Petersburg School on Theoretical Physics, St. Petersburg, Russia (2002); hep-ph/0212161.Google Scholar
  9. 9.
    I. P. Ivanov, N. N. Nikolaev, W. Schäfer, et al., Invited talk at the NATO Advanced Research Workshop on Diffraction, Alushta, Ukraine (2002), NATO Science Series: Physics and Chemistry, Ed. by R. Fiore, L. L. Jenkovszky, M. I. Kotsky, et al., (Kluwer, 2003), Vol. 101, pp. 209–220; hep-ph/0212176; in Proceedings of the Workshop on Exclusive Processes at High Momentum Transfer, Jefferson Lab., 2002, Ed. by A. Radyushkin and P. Stoler (World Sci., 2002), p. 205; in Proceedings of the Conference on Quark Nuclear Physics, QNP’2002, Jülich, Germany, Ed. by C. Elster and Th. Walcher, Eur. Phys. J. (2003) (in press); hep-ph/0209298; Plenary talk at the International Symposium on Multiparticle Dynamics, ISMD’2002, Alushta, Ukraine, 2002, Ed. by G. Kozlov and A. Sissakian (World Sci., 2003) (in press).Google Scholar
  10. 10.
    T. Ahmed et al. (H1 Collaboration), Nucl. Phys. B 445, 195 (1995).CrossRefADSGoogle Scholar
  11. 11.
    A. Szczurek, N. N. Nikolaev, W. Schäfer, and J. Speth, Phys. Lett. B 500, 254 (2001).ADSGoogle Scholar
  12. 12.
    J. R. Forshaw and R. G. Roberts, Phys. Lett. B 335, 494 (1994); A. J. Askew, D. Graudenz, J. Kwiecinski, and A. D. Martin, Phys. Lett. B 338, 92 (1994); J. Kwiecinski, A. D. Martin, and A. M. Stasto, Phys. Lett. B 459, 644 (1999).ADSGoogle Scholar
  13. 13.
    N. N. Nikolaev and B. G. Zakharov, Z. Phys. C 49, 607 (1991).CrossRefGoogle Scholar
  14. 14.
    N. N. Nikolaev, B. G. Zakharov, and V. R. Zoller, Z. Phys. A 351, 435 (1995).CrossRefGoogle Scholar
  15. 15.
    V. Barone, M. Genovese, N. N. Nikolaev, et al., Z. Phys. C 58, 541 (1993).CrossRefGoogle Scholar
  16. 16.
    N. N. Nikolaev and V. I. Zakharov, Yad. Fiz. 21, 434 (1975) [Sov. J. Nucl. Phys. 21, 227 (1975)]; Phys. Lett. B 55, 397 (1975).Google Scholar
  17. 17.
    N. N. Nikolaev, G. Piller, and B. G. Zakharov, Zh. Éksp. Teor. Fiz. 108, 1554 (1995) [JETP 81, 851 (1995)]; Z. Phys. A 354, 99 (1996).Google Scholar
  18. 18.
    B. G. Zakharov, Pis’ma Zh. Éksp. Teor. Fiz. 63, 906 (1996) [JETP Lett. 63, 952 (1996)]; Pis’ma Zh. Éksp. Teor. Fiz. 65, 585 (1997) [JETP Lett. 65, 615 (1997)]; Yad. Fiz. 61, 924 (1998) [Phys. At. Nucl. 61, 838 (1998)].Google Scholar
  19. 19.
    I. P. Ivanov and N. N. Nikolaev, Yad. Fiz. 64, 813 (2001) [Phys. At. Nucl. 64, 753 (2001)]; Phys. Rev. D 65, 054004 (2002).Google Scholar
  20. 20.
    C. Adler et al. (STAR Collaboration), Phys. Rev. Lett. 90, 082302 (2003).Google Scholar
  21. 21.
    R. J. Glauber, in Lectures in Theoretical Physics, Ed. by W. E. Brittin et al. (Interscience, New York, 1959), p. 315.Google Scholar
  22. 22.
    V. N. Gribov, Zh. Éksp. Teor. Fiz. 56, 892 (1969) [Sov. Phys. JETP 29, 483 (1969)].Google Scholar
  23. 23.
    N. N. Nikolaev and B. G. Zakharov, Z. Phys. C 53, 331 (1992).CrossRefGoogle Scholar
  24. 24.
    N. N. Nikolaev and B. G. Zakharov, Zh. Éksp. Teor. Fiz.105, 1498 (1994) [JETP 78, 806 (1994)]; Z. Phys. C 64, 631 (1994).Google Scholar
  25. 25.
    N. N. Nikolaev, B. G. Zakharov, and V. R. Zoller, Pis’ma Zh. Éksp. Teor. Fiz. 59, 8 (1994) [JETP Lett. 59, 6 (1994)].Google Scholar
  26. 26.
    N. N. Nikolaev and B. G. Zakharov, Phys. Lett. B 332, 184 (1994).ADSGoogle Scholar
  27. 27.
    V. Barone, M. Genovese, N. N. Nikolaev, et al., Phys. Lett. B 326, 161 (1994).ADSGoogle Scholar
  28. 28.
    B. Andersson et al. (Small-x Collaboration), Eur. Phys. J. C 25, 77 (2002).ADSGoogle Scholar
  29. 29.
    M. Genovese, N. N. Nikolaev, and B. G. Zakharov, Zh. Éksp. Teor. Fiz. 108, 1155 (1995) [JETP 81, 633 (1995)].Google Scholar
  30. 30.
    C. Adloff et al. (H1 Collaboration), Z. Phys. C 76, 613 (1997).Google Scholar
  31. 31.
    J. Breitweg et al. (ZEUS Collaboration), Eur. Phys. J. C 6, 43 (1999).ADSGoogle Scholar
  32. 32.
    B. G. Zakharov, Yad. Fiz. 46, 148 (1987) [Sov. J. Nucl. Phys. 46, 92 (1987)].Google Scholar
  33. 33.
    N. N. Nikolaev, J. Speth, and B. G. Zakharov, Zh. Éksp. Teor. Fiz. 109, 1948 (1996) [JETP 82, 1046 (1996)].Google Scholar
  34. 34.
    Yu. L. Dokshitser, Zh. Éksp. Teor. Fiz. 73, 1216 (1977) [Sov. Phys. JETP 46, 641 (1977)]; Yu. L. Dokshitzer, D. Diakonov, and S. I. Troian, Phys. Rep. 58, 269 (1980).Google Scholar
  35. 35.
    T. Sjöstrand, P. Eden, C. Friberg, et al., Comput. Phys. Commun. 135, 238 (2001).ADSGoogle Scholar
  36. 36.
    V. R. Zoller, Z. Phys. C 51, 659 (1991); M. A. Faessler, Z. Phys. C 58, 567 (1993).CrossRefGoogle Scholar
  37. 37.
    T. Akesson et al. (HELIOS Collaboration), Z. Phys. C 49, 355 (1991).Google Scholar
  38. 38.
    U. A. Wiedemann, Nucl. Phys. B 582, 409 (2000).CrossRefADSGoogle Scholar
  39. 39.
    V. N. Gribov and L. N. Lipatov, Yad. Fiz. 15, 781 (1972) [Sov. J. Nucl. Phys. 15, 438 (1972)]; L. N. Lipatov, Yad. Fiz. 20, 340 (1974) [Sov. J. Nucl. Phys. 20, 181 (1975)]; G. Altarelli and G. Parisi, Nucl. Phys. B 126, 298 (1977).Google Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2003

Authors and Affiliations

  • N. N. Nikolaev
    • 1
    • 2
  • W. Schäfer
    • 1
  • B. G. Zakharov
    • 2
  • V. R. Zoller
    • 3
  1. 1.Institut für KernphysikForschungszentrum JülichJülichGermany
  2. 2.Landau Institute for Theoretical PhysicsChernogolovka, Moscow oblastRussia
  3. 3.Institute for Theoretical and Experimental PhysicsMoscowRussia

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