Resonance production in the γγ→ππ process and low energy parameters

  • A. E. Kaloshin
  • V. V. Serebryakov
Article

Abstract

The amplitudes of the γγ→ππ reaction are obtained describing the process up to the energy of 1.5 GeV. It is shown that in thef-meson region there exists large background with the isospinI=2. This background and the backgrounds of the known mechanisms deal with the threshold expansion of the amplitude. This allows one to give polarizability estimate of the pion (α +β) π+ =0.45·10−+fm, (α+β)π0. We predict a very small cross-section for the production of a broad ε (700) by using the low energy normalization.

Keywords

Field Theory Elementary Particle Quantum Field Theory Particle Acceleration Energy Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    H. Kolanoski: Springer tracts in modern physics, Vol. 105. Berlin, Heidelberg, New York: Springer 1984Google Scholar
  2. 2.
    J. Olsson: Inv. talk at 5th Int. Workshop, Aachen, 1983. Preprint DESY 83-076 (1983)Google Scholar
  3. 3.
    M.V. Terentjev: Usp. Fiz. Nauk (USSR)112, 37 (1974)Google Scholar
  4. 4.
    A.S. Galperin et al.: Yad. Fiz. (USSR)32, 1053 (1980); A.A. Bel'kov, V.N. Pervushin: Yad. Fiz.40, 974 (1984); A.A. Bel'kov et al.: Yad. Fiz.40, 1483 (1984)Google Scholar
  5. 5.
    Yu.M. Antipov et al.: Phys. Lett.B121, 445 (1983); Yu.M. Antipov et al.: Preprint PI-84-490, Dubna (1984)Google Scholar
  6. 6.
    G. Schierholz, K. Sundermeyer: Nucl. Phys.B40, 125 (1972); D.N. Lyth: Nucl. Phys.B48, 537 (1972); P.S. Isaev, V.I. Khleskov: Yad. Fiz.19, 121 (1974); T. Chandramohan et al.: Pramana9, 141 (1977); K. Sundermeyer: Preprint DESY 74/17 (1974); O. Babelon et al.: Nucl. Phys.B114, 252 (1977)Google Scholar
  7. 7.
    V.M. Budnev, A.N. Wall, V.V. Serebryakov: Yad. Fiz.21, 1033 (1975)Google Scholar
  8. 8.
    G. Mennessier: Z. Phys. C—Particles and Fields16, 241 (1983); D.N. Lyth: J. Phys.G 10, 39 (1984)Google Scholar
  9. 9.
    E.A. Alekseeva et al.: Zh. Eksp. Teor. Fiz. (USSR)82, 1007 (1982)Google Scholar
  10. 10.
    A.E. Kaloshin, V.V. Serebryakov: Preprint Inst. for Math. TPh-125, Novosibirsk (1981)Google Scholar
  11. 11.
    M.K. Volkov, V.N. Pervushin: Yad. Fiz.22, 346 (1975)Google Scholar
  12. 12.
    G.V. Mitselmakher, V.N. Pervushin: Yad. Fiz.37, 945 (1983)Google Scholar
  13. 13.
    S.J. Brodsky, G.P. Lepage: Phys. Rev.D24, 1808 (1981)Google Scholar
  14. 14.
    V.A. Petrun'kin: Phys. Elem. Part. Atom. Nuclei (USSR)12, 692 (1981)Google Scholar
  15. 15.
    I. Guasu, E.E. Radescu: Ann. Phys.120, 145 (1979)Google Scholar
  16. 16.
    V.V. Serebryakov: In Proc. of the Triangle Meeting. VEDA Publ. House, Bratislava (1975)Google Scholar
  17. 17.
    PLUTO Coll. Ch. Berger et al.: Z. Phys. C—Particles and Fields26, 199 (1984)Google Scholar
  18. 18.
    M.K. Volkov, A.A. Osipov: Yad. Fiz.41, 1027 (1985)Google Scholar
  19. 19.
    M. Dinejkhan et al.: Pis'ma Zh. Eksp. Teor. Fiz.35, 443 (1982)Google Scholar
  20. 20.
    Crystal Ball Coll. C. Edwards et al.: Phys. Lett.B110, 82 (1982)Google Scholar
  21. 21.
    N.N. Achasov, S.A. Devyanin, G.N. Shestakov: Usp. Fiz. Nauk142, 361 (1984)Google Scholar
  22. 22.
    N.N. Achasov et al.: Yad. Fiz.32, 1098 (1980)Google Scholar
  23. 23.
    N.N. Achasov et al.: Z. Phys. C—Particles and Fields16, 55 (1982); N.N. Achasov et al.: Preprint Inst. for Math. TPh-65 (141), Novosibirsk (1984)Google Scholar
  24. 24.
    A.I. Vainshtein et al.: Proc. of 15th LINP Winter School of Phys. vol. 2, p. 5, Leningrad (1980); J.L. Rosner: Phys. Rev.D 24, 1347 (1981); J.F. Donoghue et al.: Phys. Lett.B99, 416 (1981)Google Scholar
  25. 25.
    H. Abarbanel, M.L. Goldberger: Phys. Rev.165, 1594 (1968)Google Scholar
  26. 26.
    Particle Data Group: Rev. Mod. Phys.56, No. 2 (1984)Google Scholar
  27. 27.
    M.K. Volkov, A.A. Osipov: Preprint JINR E2-84-298, Dubna (1984)Google Scholar
  28. 28.
    D. Hitlin: Preprint CALT-68-1071 (1983)Google Scholar
  29. 29.
    M. Zielinski et al.: Phys. Rev. Lett.52, 1159 (1984)Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • A. E. Kaloshin
    • 1
  • V. V. Serebryakov
    • 1
  1. 1.Institute of MathematicsNovosibirsk 90USSR

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