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

  • Nuclei, Particles, and Their Interaction
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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 Q A. 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. 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. A. H. Mueller, Nucl. Phys. B 558, 285 (1999); in Lectures at the Cargése Summer School (2001); hep-ph/0111244.

    Article  ADS  Google Scholar 

  3. A. H. Mueller, Nucl. Phys. B 335, 115 (1990).

    Article  ADS  MathSciNet  Google Scholar 

  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.

    ADS  Google Scholar 

  5. N. N. Nikolaev, W. Schäfer, B. G. Zakharov, and V. R. Zoller, JETP Lett. 76, 195 (2002).

    Article  ADS  Google Scholar 

  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. 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. 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.

  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).

  10. T. Ahmed et al. (H1 Collaboration), Nucl. Phys. B 445, 195 (1995).

    Article  ADS  Google Scholar 

  11. A. Szczurek, N. N. Nikolaev, W. Schäfer, and J. Speth, Phys. Lett. B 500, 254 (2001).

    ADS  Google Scholar 

  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).

    ADS  Google Scholar 

  13. N. N. Nikolaev and B. G. Zakharov, Z. Phys. C 49, 607 (1991).

    Article  Google Scholar 

  14. N. N. Nikolaev, B. G. Zakharov, and V. R. Zoller, Z. Phys. A 351, 435 (1995).

    Article  Google Scholar 

  15. V. Barone, M. Genovese, N. N. Nikolaev, et al., Z. Phys. C 58, 541 (1993).

    Article  Google Scholar 

  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. 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. 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. 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. C. Adler et al. (STAR Collaboration), Phys. Rev. Lett. 90, 082302 (2003).

    Google Scholar 

  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. V. N. Gribov, Zh. Éksp. Teor. Fiz. 56, 892 (1969) [Sov. Phys. JETP 29, 483 (1969)].

    Google Scholar 

  23. N. N. Nikolaev and B. G. Zakharov, Z. Phys. C 53, 331 (1992).

    Article  Google Scholar 

  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. 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. N. N. Nikolaev and B. G. Zakharov, Phys. Lett. B 332, 184 (1994).

    ADS  Google Scholar 

  27. V. Barone, M. Genovese, N. N. Nikolaev, et al., Phys. Lett. B 326, 161 (1994).

    ADS  Google Scholar 

  28. B. Andersson et al. (Small-x Collaboration), Eur. Phys. J. C 25, 77 (2002).

    ADS  Google Scholar 

  29. M. Genovese, N. N. Nikolaev, and B. G. Zakharov, Zh. Éksp. Teor. Fiz. 108, 1155 (1995) [JETP 81, 633 (1995)].

    Google Scholar 

  30. C. Adloff et al. (H1 Collaboration), Z. Phys. C 76, 613 (1997).

    Google Scholar 

  31. J. Breitweg et al. (ZEUS Collaboration), Eur. Phys. J. C 6, 43 (1999).

    ADS  Google Scholar 

  32. B. G. Zakharov, Yad. Fiz. 46, 148 (1987) [Sov. J. Nucl. Phys. 46, 92 (1987)].

    Google Scholar 

  33. N. N. Nikolaev, J. Speth, and B. G. Zakharov, Zh. Éksp. Teor. Fiz. 109, 1948 (1996) [JETP 82, 1046 (1996)].

    Google Scholar 

  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. T. Sjöstrand, P. Eden, C. Friberg, et al., Comput. Phys. Commun. 135, 238 (2001).

    ADS  Google Scholar 

  36. V. R. Zoller, Z. Phys. C 51, 659 (1991); M. A. Faessler, Z. Phys. C 58, 567 (1993).

    Article  Google Scholar 

  37. T. Akesson et al. (HELIOS Collaboration), Z. Phys. C 49, 355 (1991).

    Google Scholar 

  38. U. A. Wiedemann, Nucl. Phys. B 582, 409 (2000).

    Article  ADS  Google Scholar 

  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 

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Authors and Affiliations

  1. Institut für Kernphysik, Forschungszentrum Jülich, D-52425, Jülich, Germany

    N. N. Nikolaev & W. Schäfer

  2. Landau Institute for Theoretical Physics, Chernogolovka, Moscow oblast, 142432, Russia

    N. N. Nikolaev & B. G. Zakharov

  3. Institute for Theoretical and Experimental Physics, Moscow, 117259, Russia

    V. R. Zoller

Authors
  1. N. N. Nikolaev
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  2. W. Schäfer
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  3. B. G. Zakharov
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  4. V. R. Zoller
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From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 124, No. 3, 2003, pp. 491–515.

Original English Text Copyright © 2003 by Nikolaev, Schäfer, Zakharov, Zoller.

This article was submitted by the authors in English.

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Nikolaev, N.N., Schäfer, W., Zakharov, B.G. et al. Nonlinear k ⊥-factorization for forward dijets in deep inelastic scattering off nuclei in the saturation regime. J. Exp. Theor. Phys. 97, 441–465 (2003). https://doi.org/10.1134/1.1618332

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  • DOI: https://doi.org/10.1134/1.1618332

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