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2013

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Reviews of topical problems


Elastic scattering of hadrons


Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

Colliding high-energy hadrons either produce new particles or scatter elastically with their quantum numbers conserved and no other particles produced. We consider the latter case here. Although inelastic processes dominate at high energies, elastic scattering contributes considerably (18–25%) to the total cross section. Its share first decreases and then increases at higher energies. Small-angle scattering prevails at all energies. Some characteristic features can be seen that provide information on the geometrical structure of the colliding particles and the relevant dynamical mechanisms. The steep Gaussian peak at small angles is followed by the exponential (Orear) regime with some shoulders and dips, and then by a power-law decrease. Results from various theoretical approaches are compared with experimental data. Phenomenological models claiming to describe this process are reviewed. The unitarity condition predicts an exponential fall for the differential cross section with an additional substructure to occur exactly between the low momentum transfer diffraction cone and a power-law, hard parton scattering regime under high momentum transfer. Data on the interference of the Coulomb and nuclear parts of amplitudes at extremely small angles provide the value of the real part of the forward scattering amplitude. The real part of the elastic scattering amplitude and the contribution of inelastic processes to the imaginary part of this amplitude (the so-called overlap function) are also discussed. Problems related to the scaling behavior of the differential cross section are considered. The power-law regime at highest momentum transfer is briefly described.

Text can be downloaded in Russian. English translation is available on IOP Science.
PACS: 13.75.Cs, 13.85.Dz (all)
DOI: 10.3367/UFNe.0183.201301a.0003
URL: https://ufn.ru/en/articles/2013/1/b/
Citation: Dremin I M "Elastic scattering of hadrons" Phys. Usp. 56 3–28 (2013)
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Received: 18th, June 2012, 28th, June 2012

Оригинал: Дрёмин И М «Упругое расcеяние адронов» УФН 183 3–32 (2013); DOI: 10.3367/UFNr.0183.201301a.0003

References (260) Cited by (51) Similar articles (20) ↓

  1. I.M. Dremin “Unexpected interaction properties between high energy protons60 333–344 (2017)
  2. A.V. Leonidov “Dense gluon matter in nuclear collisions48 323–343 (2005)
  3. S.M. Troshin, N.E. Tyurin “Spin effects in hard processes with polarised protons37 991–1003 (1994)
  4. I.M. Dremin “Quantum chromodynamics and multiplicity distributions37 715–736 (1994)
  5. I.M. Dremin, I.I. Roizen, D.S. Chernavskii “The importance of inelastic processes at high energies and the theory of fireballs13 438–460 (1971)
  6. I.M. Dremin, A.V. Leonidov “The quark — gluon medium53 1123–1149 (2010)
  7. E.L. Feinberg “Multiple generation of hadrons and statistical theory14 455–483 (1972)
  8. L.N. Lipatov “Integrability properties of high energy dynamics in the multi-color QCD47 325–339 (2004)
  9. L.S. Zolin, A.B. Kaidalov et alElastic scattering of hadrons at high energies18 712–731 (1975)
  10. I.M. Dremin “Correlations and fluctuations in multiparticle production33 (8) 647–662 (1990)
  11. V.A. Lyubimov “Interaction of neutrons at high energies20 97–118 (1977)
  12. V.A. Lyubimov “Backward scattering of pions by nucleons20 691–702 (1977)
  13. A.A. Logunov, V.H. Nguyen, I.T. Todorov “Asymptotic relations between scattering amplitudes in local field theory9 31–53 (1966)
  14. S.M. Bilen’kii, L.I. Lapidus, R.M. Ryndin “Polarized proton target in experiments with high-energy particles7 721–754 (1965)
  15. V.G. Grishin “Hadronization of quarks and gluons into hadron jets at high energies29 126–165 (1986)
  16. P.V. Shlyapnikov “The charged particle multiplicity distributions in e+e- annihilation processes in the LEP experiments35 (6) 441–454 (1992)
  17. B.O. Kerbikov, L.A. Kondratyuk, M.G. Sapozhnikov “Hadron physics in low-energy antiproton beams32 739–762 (1989)
  18. I.M. Dremin “Multiparticle production and quantum chromodynamics45 507–525 (2002)
  19. S.M. Bilen’kii, L.I. Lapidus, R.M. Ryndin “Polarization experiments aimed at verifying T- and  CPT-invariance in nucleon-nucleon and nucleon-antinucleon scattering11 512–518 (1969)
  20. N.G. Birger, V.D. Mikhailov et alStrong interactions at high energies6 250–262 (1963)

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