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On the role of longitudinal momenta in high energy hadron-hadron scattering

  • Research Article
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Central European Journal of Physics

Abstract

We demonstrate a new method to calculate inelastic scattering cross-sections, which in contrary to the Regge-based methods takes into account the energy momentum conservation law. It is shown that the main contribution to integral expressing inelastic scattering cross-sections does not come from the multi-Regge domain. In particular, accounting for the longitudinal momenta contribution to virtualities is sufficient and results in the new mechanism of cross-section growth. The reasons for taking into account the sufficiently high number of interference contributions are shown and the approximate method for this purpose is developed. By fitting single free parameter of the model achieved a qualitative agreement of the total and inelastic cross sections with experimental data.

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References

  1. V.A. Abramovskiy, V.N. Gribov, O.V. Kancheli, Yad. Fiz. 18, 595 (1973)

    Google Scholar 

  2. D. Amati, A. Stanghellini, S. Fubini, Il Nuovo Cimento (1955-1965) 26, 896 (1962)

    Article  Google Scholar 

  3. M. Baker, K.A. Ter-Martirosyan, Phys.Reports 28, 1 (1976)

    Article  ADS  Google Scholar 

  4. E Byckling, K. Kajantie, Particle kinematics (Wiley, London, 1973)

    Google Scholar 

  5. P.D.B. Collins, An introduction to Regge theory and high energy physics, Cambridge monographs on mathematical physics. (Cambridge Univ. Press, Cambridge, 1977)

    Book  Google Scholar 

  6. N.G. De Bruijn, Asymptotic methods in analysis; 1st ed. (Bibl. Matematica. North-Holland, Amsterdam, 1958)

    MATH  Google Scholar 

  7. H.J. Drescher, M. Hladik, S. Ostapchenko, T. Pierog, K Werner, arXiv:0006247 [hep-ph]

  8. E.A Kuraev, L.N Lipatov, V.S Fadin, Sov. Phys. JETP. 44, 443 (1976)

    ADS  Google Scholar 

  9. E.M. Levin, M.G. Ryskin, Yad. Fiz. 19, 669 (1974)

    Google Scholar 

  10. E.M. Levin, M.G. Ryskin, Phys. Uspekhi. 32, 479 (1989)

    Article  ADS  Google Scholar 

  11. Y.P. Nikitin, I.L. Rozental, Theory of multiparticle production processes (Stud. High Energ. Phys., Harwood, Chur, 1988)

    Google Scholar 

  12. I.V. Sharph et al., arXiv:0711.3690 [hep-ph]

  13. I.V. Sharph et al., arXiv:0605110 [hep-ph]

  14. I.V. Sharph et al., arXiv:0912.2598 [hep-ph]

  15. K.A. Ter-Martirosyan, Results of Regge scheme development and experiment (MIPHI, Moscow, 1975)

    Google Scholar 

  16. M.G. Kozlov, A.V. Reznichenko, V.S. Fadin, Vestnik NSU 2, 3 (2007)

    Google Scholar 

  17. L.N. Lipatov, Uspekhi. Phys. Nauk. 178, 663 (2008)

    Article  Google Scholar 

  18. L.N. Lipatov, Uspekhi. Phys. Nauk. 174, 337 (2004)

    Article  ADS  Google Scholar 

  19. J. Bartels, L.N. Lipatov, A.S. Vera, arXiv:0802.2065 [hep-ph]

  20. A. Donnachie, P.V. Landshoff, Phys. Lett. B 296, 1 (1992)

    Article  Google Scholar 

  21. K. Nakamura and Particle Data Group, J. Phys. G Nucl. Partic. 37, 075021 (2010)

    Article  ADS  Google Scholar 

  22. ATLAS Collaboration, arXiv:1104.0326 [hep-ph]

  23. A.B. Kaidalov, Uspekhi. Phys. Nauk. 173, 1153 (2003)

    Article  Google Scholar 

  24. I.V. Sharph et al., Ukr. J. Phys. 56, 1151 (2011)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Theoretical and Experimental Nuclear Physics, Odessa National Polytechnic University, Shevchenko av. 1, 65044, Odessa, Ukraine

    Igor Sharf, Andrii Tykhonov, Grygorii Sokhrannyi, Maksym Deliyergiyev, Natalia Podolyan & Vitaliy Rusov

  2. Department of Experimental Particle Physics, Jozef Stefan Institute, Jamova 39, SI-1000, Ljubljana, Slovenia

    Andrii Tykhonov & Maksym Deliyergiyev

  3. Department of Mathematics, Bielefeld University, Universitatsstrasse 25, 33615, Bielefeld, Germany

    Vitaliy Rusov

Authors
  1. Igor Sharf
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  2. Andrii Tykhonov
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  3. Grygorii Sokhrannyi
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  4. Maksym Deliyergiyev
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  5. Natalia Podolyan
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  6. Vitaliy Rusov
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Correspondence to Vitaliy Rusov.

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Sharf, I., Tykhonov, A., Sokhrannyi, G. et al. On the role of longitudinal momenta in high energy hadron-hadron scattering. centr.eur.j.phys. 10, 858–887 (2012). https://doi.org/10.2478/s11534-012-0056-5

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  • DOI: https://doi.org/10.2478/s11534-012-0056-5

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