• Українська
  • English

<Previous issue | >

Current issue   Ukr. J. Phys. 2014, Vol. 58, N 8, p.703-708
https://doi.org/10.15407/ujpe58.08.0703    Paper

Lengyel A., Tarics Z.

Institute of Electron Physics
(21, Universytets’ka Str. Uzhgorod, 88017, Ukraine; e-mail: alexander-lengyel@rambler.ru, tarics1@rambler.ru)

Truncated QCD-Pomeron at LHC Energies

Section: Fields and elementary particles
Original Author's Text: English

Abstract: The eikonalized elastic proton-proton and proton-antiproton scattering amplitude F(s, t) as a function of the available increasing energy is constructed with the use of the suggestion of a finite sum of ladder diagrams calculated in QCD with a certain number of s-channel gluon rungs and, correspondingly, the powers of logarithms in the total cross section. Explicit expressions for the total cross section involving three and four rungs (four and five prongs) with ln3 (s) and ln4 (s) as the highest terms, respectively) are fitted to the all available protonproton and proton-antiproton total cross section data. Predictions for the pp total cross section at the LHC energy are given.

Key words: proton-proton scattering, proton-antiproton scattering, QCD-Pomeron, LHC energy.


  1. TOTEM Collaboration, G. Antchev et al., Europhys. Lett. 96, 21002 (2011).
  2. E.A. Kuraev, L.N. Lipatov, and V.S. Fadin, Sov. Phys. JETP 45, 199 (1977).
  3. Ya.Ya. Balitsky and L.N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978).
  4. L.N. Lipatov, Sov. Phys. JETP 63, 904 (1986).
  5. V.S. Fadin and L.N. Lipatov, Phys. Lett. B 429, 127 (1998) and references therein.
  6. R. Fiore, L.L. Jenkovszky, A.I. Lengyel, F. Paccanoni, and A. Papa, arXiv: hep-ph/0002100 9; R. Fiore, L. Jenkovszky, E. Kuraev, A. Lengyel, F. Paccanoni, and A. Papa, Phys. Rev. D 63, 056010 (2001).
  7. J.R. Cudell, E. Martynov, O. Selyugin, and A. Lengyel, Phys. Lett. B 587, 78 (2004).
  8. A. Achilli, R. Godbole, A. Grau, and Y.N. Srivastava, QCD Mini-Jet Contribution to the Total Cross-Section, hep-ph/0907.0949; R.M. Godbole, A. Grau, G. Pancheri, and Y.N. Srivastava, QCD and Total Cross-Sections: Photons and Hadrons, hep-ph/0812.4705.
  9. R. Fiore, L. Jenkovszky, E. Kuraev, A. Lengyel, and Z. Tarics, Phys. Rev. D 81, 056001 (2010), hep-ph/090160.
  10. See, http://www.ppds.ihep.su:8001/hadron.html
  11. E. Levin and M. Ryskin, Sov. J. Nucl. Phys. 34, 619 (1981);
      Phys. Rep. 189, 267 (1990).
  12. P. Kroll, Forts. d. Phys. 24, 565 (1976)