Communications in Mathematical Physics

, Volume 57, Issue 3, pp 219–233 | Cite as

On the existence of crossing symmetric and unitary scattering amplitudes with Regge poles

  • J. Kupsch


We give a complete proof of the existence of scattering amplitudesA(s,t,u) with the following properties
  1. i)

    the amplitudes are total symmetric ins,t, andu.

  2. ii)

    they satisfy elastic unitarity for 4≦s≦16, and

  3. iii)

    they develop resonances forl≧2 on a bounded Regge trajectory which dominates the asymptotics for large energies.



Neural Network Statistical Physic Complex System Nonlinear Dynamics Regge Pole 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Atkinson, D.: Nucl. Phys. B7, 375 (1968); B8, 377 (1968); B13, 415 (1969); B23, 397 (1970)Google Scholar
  2. 1.a
    Atkinson, D., Warnock, R.L.: Phys. Rev.188, 2098 (1969)Google Scholar
  3. 1.b
    Atkinson, D., Johnson, P.W., Warnock, R.L.: Phys. Rev. D6, 2966 (1972)Google Scholar
  4. 1.c
    Kupsch, J.: Nucl. Phys. B12, 155 (1969); B11, 573 (1969); Nuovo Cimento66A, 202 (1970)Google Scholar
  5. 2.
    Mandelstam, S.: Phys. Rev.112, 1344 (1958)Google Scholar
  6. 2.a
    Gribov, V.N.: Proceedings of the 1960 Annual International Conference on High Energy Physics at Rochester, p. 340Google Scholar
  7. 3.
    Khuri, N.N.: Phys. Rev.132, 914 (1963)Google Scholar
  8. 4.
    Atkinson, D., Frederiksen, J.S.: Commun. math. Phys.40, 55 (1975)Google Scholar
  9. 4.a
    Frederiksen, J.S.: Commun. math. Phys.43, 1 (1975)Google Scholar
  10. 4.b
    Frederiksen, J.S., Johnson, P.W., Warnock, R.L.: J. Math. Phys.16, 1886 (1975)Google Scholar
  11. 4.c
    Atkinson, D., Frederiksen, J.S., Johnson, P.W., Kaekebeke, M.: Commun. math. Phys.51, 67 (1976)Google Scholar
  12. 4.d
    Atkinson, D., Kaekebeke, M.: Crossing symmetric amplitudes with Regge poles. Preprint, December 1976Google Scholar
  13. 5.
    Johnson, P.W., Warnock, R.L.: Dynamical equations for a Regge theory with crossing symmetry and unitarity, Part I and II. Preprints, July 1976Google Scholar
  14. 6.
    Kupsch, J.: Unitarity integral and Mellin transformation. Preprint, November 1975Google Scholar
  15. 7.
    Kupsch, J.: On the existence of crossing symmetric and unitary scattering amplitudes with Regge poles. Technical Report, May 1977Google Scholar
  16. 8.
    Kupsch, J.: Commun. math. Phys.19, 65 (1970)Google Scholar
  17. 9.
    Smart, D.R.: Fixed point theorems. Cambridge: University Press 1974Google Scholar

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • J. Kupsch
    • 1
  1. 1.Fachbereich PhysikUniversität KaiserslauternKaiserslauternFederal Republic of Germany

Personalised recommendations