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GPDs of the nucleons and elastic scattering at high energies

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Abstract

Taking into account the electromagnetic and gravitational form factors, calculated from a new set of t-dependent GPDs, a new model is built. The real part of the hadronic amplitude is determined only through complex s. In the framework of this model the quantitative description of all existing experimental data at \(52.8 \leq\sqrt{s} \leq 1960~\mbox{GeV}\), including the Coulomb range and large momentum transfers (0.0008≤|t|≤9.75 GeV2), is obtained with only three fitting high energy parameters. The comparison with the preliminary data of the TOTEM Collaboration at an energy of 7 TeV is made.

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References

  1. A. Martin, F. Cheung, Analytic Properties and Bounds of the Scattering Amplitude (New York, 1970)

  2. S.M. Roy, Phys. Rep. C 5, 125 (1972)

    Article  ADS  Google Scholar 

  3. R. Fiore et al., Mod. Phys. A 24, 2551 (2009)

    Article  ADS  Google Scholar 

  4. G. Antchev et al. (TOTEM Coll.), arXiv:1110.1395

  5. J.R. Cudell, O.V. Selyugin, Czechoslov. J. Phys. 54, A441 (2004). arXiv:hep-ph/0309194

    Article  Google Scholar 

  6. O.V. Selyugin, J.R. Cudell, E. Predazzi, Eur. Phys. J. ST 162, 37 (2008). arXiv:0712.0621 [hep-ph]

    Google Scholar 

  7. T.T. Wu, C.N. Yang, Phys. Rev. 175, 1832 (1968)

    Article  ADS  Google Scholar 

  8. T.T. Chou, C.N. Yang, Phys. Rev. 137, 708 (1965)

    Article  MathSciNet  ADS  Google Scholar 

  9. C. Bourrely, J. Soffer, T.T. Wu, Eur. Phys. J. C28, 97 (2003)

    Article  ADS  Google Scholar 

  10. X.D. Ji, Phys. Lett. 78, 610 (1997)

    Article  Google Scholar 

  11. X.D. Ji, Phys. Rev. D 55, 7114 (1997)

    Article  ADS  Google Scholar 

  12. A.V. Radyushkin, Phys. Rev. D 56, 5524 (1997)

    Article  ADS  Google Scholar 

  13. O.V. Selyugin, O.V. Teryaev, Foundations of Physics, ISSN: 0015-9018 eISSN: 1572-9516

  14. H. Pagels, Phys. Rev. 144, 1250 (1966)

    Article  ADS  Google Scholar 

  15. M. Polyakov, Phys. Lett. B 555, 57 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. Z. Abidin, C.E. Carlson, Phys. Rev. D 77, 095007 (2008)

    Article  ADS  Google Scholar 

  17. J.R. Cudell, E. Martynov, O.V. Selyugin, A. Lengyel, Phys. Lett. B 587, 78 (2004)

    Article  ADS  Google Scholar 

  18. A. Donnachie, P.V. Landshoff, arXiv:1112.2485

  19. G. Latino et al. (TOTEM Coll.), arXiv:1110.1008

  20. O.V. Selyugin, Mod. Phys. Lett. A 9, 1207 (1994)

    Article  ADS  Google Scholar 

  21. O.V. Selyugin, Mod. Phys. Lett. A 14, 223 (1999)

    Article  ADS  Google Scholar 

  22. O.V. Selyugin, Phys. Rev. D 60, 074028 (1999)

    Article  ADS  Google Scholar 

  23. N.H. Buttimore, E. Gotsman, E. Leader, Phys. Rev. D 35, 407 (1987)

    Article  ADS  Google Scholar 

  24. O. Selyugin, O. Teryaev, Phys. Rev. D 79, 033003 (2009)

    Article  ADS  Google Scholar 

  25. A.V. Radyushkin, Phys. Rev. D 58, 114008 (1998)

    Article  ADS  Google Scholar 

  26. M. Burkardt, Phys. Lett. B 595, 245 (2004)

    Article  ADS  Google Scholar 

  27. M. Guidal, M.V. Polyakov, A.V. Radyushkin, M. Vanderhaeghen, Phys. Rev. D 72, 054013 (2005)

    Article  ADS  Google Scholar 

  28. A.D. Martin et al., Phys. Lett. B 531, 216 (2002)

    Article  ADS  Google Scholar 

  29. J.-R. Cudell et al., http://www.theo.phys.ulg.ac.be/~Cudell/data

  30. Spires Durham data base. http://durpdg.dur.ac.uk/hepdata

  31. U. Amaldi, K.R. Schubert, Nucl. Phys. B 166, 301 (1980)

    Article  ADS  Google Scholar 

  32. A.D. Martin et al., Eur. Phys. J. C 70, 189 (2009)

    Article  ADS  Google Scholar 

  33. G. Wattt, arXiv:1201.1295

  34. (UA42 Coll.) C. Augier et al., Phys. Lett. B 316, 448 (1993)

    Article  ADS  Google Scholar 

  35. O. Selyugin, Phys. Lett. B333, 245 (1994)

    ADS  Google Scholar 

  36. N.N. Khuri, in Proceedings Results and Perspectives in Particle Physics, Gif-nur-Yvette, France, ed. by M. Greeco (1994), p. 701

    Google Scholar 

  37. C. Bourrely, N.N. Khuri, A. Martin, J. Soffer, T.T. Wu, in Proceedings EDS 2005, Blois, France (2005)

    Google Scholar 

  38. J.R. Cudell et al. [COMPETE Collaboration], Phys. Rev. D 65, 074024 (2002)

    Article  ADS  Google Scholar 

  39. J.R. Cudell et al. [COMPETE Collaboration], Phys. Rev. Lett. 89, 201801 (2002)

    Article  ADS  Google Scholar 

  40. J.R. Cudell, V. Ezhela, K. Kang, S. Lugovsky, N. Tkachenko, Phys. Rev. D 61, 034019 (2000)

    Article  ADS  Google Scholar 

  41. J.R. Cudell, V. Ezhela, K. Kang, S. Lugovsky, N. Tkachenko, Phys. Rev. D 63, 059901 (2001). Erratum

    Article  ADS  Google Scholar 

  42. J.R. Cudell, O.V. Selyugin, Phys. Rev. Lett. 102, 032003 (2009). arXiv:0812.1892 [hep-ph]

    Article  ADS  Google Scholar 

  43. H. Miettinen, Nucl. Phys. B 166, 365 (1980)

    Article  ADS  Google Scholar 

  44. S. Sanielevici, P. Valin, Phys. Rev. D 29, 52 (1984)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

The author would like to thank J.-R. Cudell for helpful discussions, gratefully acknowledges the financial support from BELSPO and would like to thank the University of Liège where part of this work was done.

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Correspondence to O. V. Selyugin.

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Selyugin, O.V. GPDs of the nucleons and elastic scattering at high energies. Eur. Phys. J. C 72, 2073 (2012). https://doi.org/10.1140/epjc/s10052-012-2073-3

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  • DOI: https://doi.org/10.1140/epjc/s10052-012-2073-3

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