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  • Open Access

Summing large Pomeron loops in the saturation region: Nucleus-nucleus collision

Eugene Levin*

  • Department of Particle Physics, Tel Aviv University, Tel Aviv 69978, Israel

  • *Contact author: leving@tauex.tau.ac.il

Phys. Rev. D 112, 054033 – Published 22 September, 2025

DOI: https://doi.org/10.1103/6fgj-hkqq

Abstract

In this paper we found the nucleus-nucleus scattering amplitude at high energies by summing large Pomeron loops. It turns out that the energy dependence of this amplitude is the same for dipole-dipole scattering. This happens since the evolution of one dipole cascade contributes to this scattering.

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References (66)

  1. E. Levin, Phys. Rev. D 110, 116021 (2024).
  2. E. Levin, Phys. Rev. D 111, 096004 (2025).
  3. V. S. Fadin, E. A. Kuraev, and L. N. Lipatov, Phys. Lett. 60B, 50 (1975);   E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Zh. Eksp. Teor. Fiz. 72, 377 (1977) [Sov. Phys. JETP 45, 199 (1977)];   I. I. Balitsky and L. N. Lipatov, Yad. Fiz. 28, 1597 (1978) [Sov. J. Nucl. Phys. 28, 822 (1978)].
  4. L. V. Gribov, E. M. Levin, and M. G. Ryskin, Phys. Rep. 100, 1 (1983).
  5. E. M. Levin and M. G. Ryskin, Phys. Rep. 189, 267 (1990).
  6. A. H. Mueller and J. Qiu, Nucl. Phys. B268, 427 (1986).
  7. A. H. Mueller, Nucl. Phys. B415, 373 (1994); B437, 107 (1995); A. H. Mueller and B. Patel, B425, 471 (1994).
  8. I. Balitsky, Phys. Rev. D 60, 014020 (1999);
  9. Y. V. Kovchegov, Phys. Rev. D 60, 034008 (1999).
  10. J. Bartels, Z. Phys. C 60, 471 (1993); J. Bartels and M. Wusthoff, 66, 157 (1995); J. Bartels and C. Ewerz, J. High Energy Phys. 09 (1999) 026; C. Ewerz, 04 (2001) 031.
  11. M. A. Braun, Phys. Lett. B 483, 115 (2000); Eur. Phys. J. C 33, 113 (2004); Phys. Lett. B 632, 297 (2006).
  12. M. A. Braun, Eur. Phys. J. C 16, 337 (2000); M. A. Braun and G. P. Vacca, 6, 147 (1999); J. Bartels, M. Braun, and G. P. Vacca, 40, 419 (2005); J. Bartels, L. N. Lipatov, and G. P. Vacca, Nucl. Phys. B706, 391 (2005).
  13. L. McLerran and R. Venugopalan, Phys. Rev. D 49, 2233 (1994); 49, 3352 (1994); 50, 2225 (1994); 59, 094002 (1999).
  14. J. Jalilian-Marian, A. Kovner, A. Leonidov, and H. Weigert, Nucl. Phys. B504, 415 (1997).
  15. J. Jalilian-Marian, A. Kovner, A. Leonidov, and H. Weigert, Phys. Rev. D 59, 014014 (1998).
  16. A. Kovner, J. G. Milhano, and H. Weigert, Phys. Rev. D 62, 114005 (2000).
  17. E. Iancu, A. Leonidov, and L. D. McLerran, Nucl. Phys. A692, 583 (2001).
  18. E. Iancu, A. Leonidov, and L. D. McLerran, Phys. Lett. B 510, 133 (2001).
  19. E. Ferreiro, E. Iancu, A. Leonidov, and L. McLerran, Nucl. Phys. A703, 489 (2002).
  20. H. Weigert, Nucl. Phys. A703, 823 (2002).
  21. A. Kovner and J. G. Milhano, Phys. Rev. D 61, 014012 (2000).
  22. E. Levin and M. Lublinsky, Nucl. Phys. A730, 191 (2004); Phys. Lett. B 607, 131 (2005).
  23. Yuri V. Kovchegov and Eugene Levin, Quantum Chromodynamics at High Energies, Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology (Cambridge University Press, Cambridge, England, 2012).
  24. A. Kovner, E. Levin, M. Li, and M. Lublinsky, J. High Energy Phys. 09 (2020) 199.
  25. A. Kovner, E. Levin, M. Li, and M. Lublinsky, J. High Energy Phys. 10 (2020) 185.
  26. A. H. Mueller and G. P. Salam, Nucl. Phys. A475, 293 (1996); G. P. Salam, B461, 512 (1996).
  27. E. Levin and K. Tuchin, Nucl. Phys. B573, 833 (2000); A691, 779 (2001); A693, 787 (2001).
  28. E. Levin and M. Lublinsky, Nucl. Phys. A763, 172 (2005).
  29. L. N. Lipatov, Zh. Eksp. Teor. Fiz. 90, 1536 (1986) [Sov. Phys. JETP 63, 904 (1986)].
  30. Y. V. Kovchegov, Phys. Rev. D 72, 094009 (2005).
  31. P. Rembiesa and A. M. Stasto, Nucl. Phys. B725, 251 (2005).
  32. A. Kovner and M. Lublinsky, Nucl. Phys. A767, 171 (2006).
  33. A. I. Shoshi and B. W. Xiao, Phys. Rev. D 73, 094014 (2006).
  34. M. Kozlov and E. Levin, Nucl. Phys. A779, 142 (2006).
  35. N. Armesto, S. Bondarenko, J. G. Milhano, and P. Quiroga, J. High Energy Phys. 05 (2008) 103.
  36. E. Levin and A. Prygarin, Eur. Phys. J. C 53, 385 (2008).
  37. A. D. Le, A. H. Mueller, and S. Munier, Phys. Rev. D 104, 034026 (2021).
  38. E. Levin, Phys. Rev. D 104, 056025 (2021).
  39. A. H. Mueller and D. N. Triantafyllopoulos, Nucl. Phys. B640, 331 (2002).
  40. S. Munier and R. B. Peschanski, Phys. Rev. D 69, 034008 (2004); Phys. Rev. Lett. 91, 232001 (2003).
  41. E. Iancu, K. Itakura, and L. McLerran, Nucl. Phys. B708, 327 (2002).
  42. L. N. Lipatov, Phys. Rep. 286, 131 (1997).
  43. L. N. Lipatov, Nucl. Phys. B365, 614 (1991); B452, 369 (1995); R. Kirschner, L. N. Lipatov, and L. Szymanowski, B425, 579 (1994); Phys. Rev. D 51, 838 (1995).
  44. G. P. Salam, Nucl. Phys. B461, 512 (1996).
  45. H. Navelet and R. B. Peschanski, Nucl. Phys. B507, 353 (1997).
  46. J. Bartels, Nucl. Phys. B175, 365 (1980); J. Kwiecinski and M. Praszalowicz, Phys. Lett. 94B, 413 (1980).
  47. Y. V. Kovchegov and E. Levin, Nucl. Phys. B577, 221 (2000).
  48. A. Kovner and M. Lublinsky, J. High Energy Phys. 02 (2007) 058.
  49. T. Altinoluk, A. Kovner, E. Levin, and M. Lublinsky, J. High Energy Phys. 04 (2014) 075.
  50. A. Kovner and M. Lublinsky, Phys. Rev. D 71, 085004 (2005).
  51. A. Kovner and M. Lublinsky, Phys. Rev. Lett. 94, 181603 (2005).
  52. I. Balitsky, Phys. Rev. D 72, 074027 (2005).
  53. Y. Hatta, E. Iancu, L. McLerran, A. Stasto, and D. N. Triantafyllopoulos, Nucl. Phys. A764, 423 (2006).
  54. A. Kovner, M. Lublinsky, and U. Wiedemann, J. High Energy Phys. 06 (2007) 075; T. Altinoluk, A. Kovner, M. Lublinsky, and J. Peressutti, 03 (2009) 109.
  55. A. Kovner and M. Lublinsky, Nucl. Phys. A767, 171 (2006).
  56. A. Kormilitzin, E. Levin, and A. Prygarin, Nucl. Phys. A813, 1 (2008); E. Levin and A. Prygarin, Eur. Phys. J. C 53, 385 (2008).
  57. E. Levin, Phys. Rev. D 107, 054012 (2023).
  58. E. Levin, arXiv:2403.10364.
  59. E. Iancu and A. Mueller, Nucl. Phys. A730, 494 (2004).
  60. E. Iancu and A. Mueller, Nucl. Phys. A730, 460 (2004).
  61. I. Gradstein and I. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Academic Press, London, 1994).
  62. J. Bartels and E. Levin, Nucl. Phys. B387, 617 (1992); A. M. Stasto, K. J. Golec-Biernat, and J. Kwiecinski, Phys. Rev. Lett. 86, 596 (2001); L. McLerran and M. Praszalowicz, Acta Phys. Pol. B 42, 99 (2011); 41, 1917 (2010).
  63. C. Contreras, E. Levin, and M. Sanhueza, Phys. Rev. D 104, 116020 (2021).
  64. M. A. Braun and A. N. Tarasov, Phys. Lett. B 726, 300 (2013).
  65. L. Lönnblad, Comput. Phys. Commun. 71, 15 (1992).
  66. G. Gustafson and L. Lönnblad, Adv. Ser. Dir. High Energy Phys. 29, 359 (2018).

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