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Diffractive neutrino production of pions on nuclei: Adler relation within the color-dipole description

B. Z. Kopeliovich*, Iván Schmidt†, and M. Siddikov‡

  • Departamento de Física, Centro de Estudios Subatómicos, y Centro Científico – Tecnológico de Valparaíso, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile

  • *Boris.Kopeliovich@usm.cl
  • †Ivan.Schmidt@usm.cl
  • ‡Marat.Siddikov@usm.cl
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Phys. Rev. D 85, 073003 – Published 2 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.073003

Abstract

Effects of coherence in neutrino production of pions off nuclei are studied employing the color-dipole representation and path integral technique. If the nucleus remains intact, the process is controlled by the interplay of two length scales. One is related to the pion mass and is quite long (at low Q2), while the other, associated with heavy axial-vector states, is much shorter. The Adler relation is found to be broken at all energies, but especially strongly at ν≳10  GeV, where the cross section is suppressed by a factor ∼A−1/3. On the contrary, in a process where the recoil nucleus breaks up into fragments, the Adler relation turns out to be strongly broken at low energies, where the cross section is enhanced by a factor ∼A1/3, but has a reasonable accuracy at higher energies, where all the coherence length scales become long.

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References (75)

  1. D. Drakoulakos et al. (Minerva Collaboration), arXiv:hep-ex/0405002.
  2. S. L. Adler, Phys. Rev. 135, B963 (1964).
  3. S. L. Adler and Y. Dothan, Phys. Rev. 151, 1267 (1966).
  4. A. A. Belkov and B. Z. Kopeliovich, Yad. Fiz. 46, 874 (1987) [Sov. J. Nucl. Phys. 46, 499 (1987)].
  5. D. Rein and L. M. Sehgal, Nucl. Phys. B223, 29 (1983).
  6. B. Z. Kopeliovich, I. Potashnikova, M. Siddikov, and I. Schmidt, Phys. Rev. C 84, 024608 (2011).
  7. J. Bell, Phys. Rev. Lett. 13, 57 (1964).
  8. R. J. Glauber, in Lectures in Theoretical Physics, edited by W. E. Brittin (Interscience, New York, 1959).
  9. V. N. Gribov, Zh. Eksp. Teor. Fiz. 56, 892 (1969). [V. N. GribovV. N. GribovSov. Phys. JETP 29, 483 (1969)]
  10. B. Z. Kopeliovich, Phys. Lett. B 227, 461 (1989).
  11. B. Z. Kopeliovich, Nucl. Phys. B, Proc. Suppl. 139, 219 (2005).
  12. B. Z. Kopeliovich, Zh. Eksp. Teor. Fiz. 97, 1418 (1990) [Sov. Phys. JETP 70, 801 (1990)]
  13. P. P. Allport et al. (WA59 Collaboration), Phys. Lett. B 232, 417 (1989).
  14. B. Z. Kopeliovich, L. I. Lapidus, and A. B. Zamolodchikov, Pis’ma Zh. Eksp. Teor. Fiz. 33, 612 (1981) [JETP Lett. 33, 595 (1981)].
  15. O. Lalakulich, E. A. Paschos, and G. Piranishvili, Phys. Rev. D 74, 014009 (2006).
  16. O. Lalakulich, W. Melnitchouk, and E. A. Paschos, Phys. Rev. C 75, 015202 (2007).
  17. S. X. Nakamura, arXiv:1109.4443.
  18. S. S. Gershtein, Yu. Y. Komachenko, and M. Y. Khlopov, Yad. Fiz. 32, 1600 (1980) S. S. GershteinM. Y. Khlopov[S. S. GershteinM. Y. KhlopovSov. J. Nucl. Phys. 32, 861 (1980)].
  19. Yu. Y. Komachenko and M. Y. Khlopov, Yad. Fiz. 45, 467 (1987); Yu. Y. KomachenkoM. Y. Khlopov[Yu. Y. KomachenkoM. Y. KhlopovSov. J. Nucl. Phys. 45, 295 (1987)].
  20. K. J. Golec-Biernat and M. Wüsthoff, Phys. Rev. D 59, 014017 (1998).
  21. K. J. Golec-Biernat, Acta Phys. Pol. B 35, 3103 (2004).
  22. B. Z. Kopeliovich, J. Raufeisen, and A. V. Tarasov, Phys. Lett. B 440, 151 (1998).
  23. J. Raufeisen, J.-C. Peng, G. C. Nayak, Phys. Rev. D 66, 034024 (2002).
  24. J. Hufner, Yu. P. Ivanov, B. Z. Kopeliovich, and A. V. Tarasov,Phys. Rev. D 62, 094022 (2000).
  25. B. Z. Kopeliovich, I. Schmidt, and M. Siddikov, Phys. Rev. D 79, 034019 (2009).
  26. B. Z. Kopeliovich, I. Schmidt, and M. Siddikov, Phys. Rev. D 80, 054005 (2009).
  27. B. Z. Kopeliovich, I. Schmidt, and M. Siddikov, Phys. Rev. D 82, 014017 (2010).
  28. B. Z. Kopeliovich, I. Schmidt, and M. Siddikov, Phys. Rev. D 81, 094013 (2010).
  29. M. V. T. Machado, Eur. Phys. J. C 59, 769 (2009).
  30. M. V. T. Machado, Phys. Rev. D 78, 034016 (2008).
  31. M. V. T. Machado, arXiv:0905.4516.
  32. R. Fiore and V. R. Zoller, Phys. Lett. B 632, 87 (2006).
  33. R. Fiore and V. R. Zoller, Pis’ma Zh. Eksp. Teor. Fiz. 82, 440 (2005) [JETP Lett. 82, 385 (2005)].
  34. R. Fiore and V. R. Zoller, JETP Lett. 87, 524 (2008).
  35. R. Fiore and V. R. Zoller, Phys. Lett. B 681, 32 (2009).
  36. M. B. Gay Ducati, M. M. Machado, and M. V. T. Machado, Phys. Rev. D 79, 073008 (2009).
  37. M. B. Gay Ducati, M. M. Machado, and M. V. T. Machado, Braz. J. Phys. 38, 487 (2008).
  38. M. B. G. Ducati, M. M. Machado, and M. V. T. Machado, Phys. Lett. B 644, 340 (2007).
  39. M. V. T. Machado, Phys. Rev. D 75, 093008 (2007).
  40. B. Z. Kopeliovich, I. Schmidt, and M. Siddikov, Phys. Rev. D 84, 033012 (2011).
  41. A. E. Dorokhov, W. Broniowski, and E. Ruiz Arriola, Phys. Rev. D 74, 054023 (2006).
  42. I. V. Anikin, A. E. Dorokhov, and L. Tomio, Fiz. Elem. Chastits At. Yadra 31, 1023 (2000) [Phys. Part. Nucl. 31, 509 (2000)].
  43. A. E. Dorokhov and W. Broniowski, Eur. Phys. J. C 32, 79 (2003).
  44. K. Goeke, M. M. Musakhanov, and M. Siddikov, Phys. Rev. D 76, 076007 (2007).
  45. B. Z. Kopeliovich, I. Schmidt, and M. Siddikov, arXiv:1108.5654.
  46. N. H. Buttimore, B. Z. Kopeliovich, E. Leader, J. Soffer, and T. L. Trueman, Phys. Rev. D 59, 114010 (1999).
  47. B. Z. Kopeliovich, H. J. Pirner, A. H. Rezaeian, and I. Schmidt, Phys. Rev. D 77, 034011 (2008).
  48. B. Z. Kopeliovich, A. H. Rezaeian, and I. Schmidt, Phys. Rev. D 78, 114009 (2008).
  49. B. Z. Kopeliovich, I. K. Potashnikova, I. Schmidt, and J. Soffer, Phys. Rev. D 78, 014031 (2008).
  50. J. B. Bronzan, G. L. Kane, and U. P. Sukhatme, Phys. Lett. B 49, 272 (1974).
  51. J. D. Bjorken and J. B. Kogut, Phys. Rev. D 8, 1341 (1973).
  52. B. Kopeliovich and B. Povh, Phys. Lett. B 367, 329 (1996); Z. Phys. A 356, 467 (1997).
  53. B. Z. Kopeliovich, I. K. Potashnikova, I. Schmidt, and J. Soffer, Phys. Rev. D. 84, 114012 (2011).
  54. R. T. Deck, Phys. Rev. Lett. 13, 169 (1964).
  55. B. Z. Kopeliovich and P. Marage, Int. J. Mod. Phys. A 8, 1513 (1993).
  56. B. Z. Kopeliovich and B. G. Zakharov, Phys. Rev. D 44, 3466 (1991).
  57. B. Z. Kopeliovich, A. Schäfer, and A. V. Tarasov, Phys. Rev. D 62, 054022 (2000).
  58. J. Nemchik, Phys. Rev. C 68, 035206 (2003).
  59. B. Z. Kopeliovich, J. Nemchik, A. Schäfer, and A. V. Tarasov, Phys. Rev. C 65, 035201 (2002).
  60. L. V. Gribov, E. M. Levin, and M. G. Ryskin, Phys. Rep. 100, 1 (1983).
  61. O. V. Kancheli, Pis’ma Zh. Eksp. Teor. Fiz. 18, 465 (1973) O. V. KancheliO. V. Kancheli[JETP Lett. 18, 274 (1973)].
  62. A. H. Mueller and J. Qiu, Nucl. Phys. B268, 427 (1986).
  63. K. J. Eskola, V. J. Kolhinen, and C. A. Salgado, Eur. Phys. J. C 9, 61 (1999).
  64. K. J. Eskola, H. Paukkunen, and C. A. Salgado, J. High Energy Phys. 07 (2008) 102.
  65. K. J. Eskola, H. Paukkunen, and C. A. Salgado, J. High Energy Phys. 04 (2009) 065.
  66. B. Z. Kopeliovich, E. Levin, I. K. Potashnikova, and I. Schmidt, Phys. Rev. C 79, 064906 (2009).
  67. D. de Florian, R. Sassot, M. Stratmann, and W. Vogelsang, Phys. Rev. Lett. 101, 072001 (2008).
  68. N. Armesto, J. Phys. G32, R367 (2006).
  69. B. Z. Kopeliovich, J. Raufeisen, A. V. Tarasov, and M. B. Johnson, Phys. Rev. C 67, 014903 (2003).
  70. D. de Florian and R. Sassot, Phys. Rev. D 69, 074028 (2004).
  71. D. de Florian, R. Sassot, P. Zurita, and M. Stratmann, arXiv:1112.6324.
  72. B. Z. Kopeliovich and J. Nemchik, J. Phys. G 38, 043101 (2011).
  73. K. S. McFarland (INERvA Collaboration), Nucl. Phys. B, Proc. Suppl. 159, 107 (2006).
  74. J. Bell et al., Phys. Rev. Lett. 41, 1008 (1978).
  75. P. Allen and H. Grässler (G. T. Jones, B. W. Kennedy, S. W. O’Neale, W. Gebel, and E. HofmannAachen-Birmingham-Bonn-CERN-London IC-Munich (MPI)-Oxford Collaboration), , Nucl. Phys. B264, 221 (1986).

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Phys. Rev. D 85, 073003– Published 2 April, 2012
  • Received 20 January 2012

© 2012 American Physical Society

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