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

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Abstract

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.

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References

  1. Atkinson, D.: Nucl. Phys. B7, 375 (1968); B8, 377 (1968); B13, 415 (1969); B23, 397 (1970)

    Google Scholar 

  2. Atkinson, D., Warnock, R.L.: Phys. Rev.188, 2098 (1969)

    Google Scholar 

  3. Atkinson, D., Johnson, P.W., Warnock, R.L.: Phys. Rev. D6, 2966 (1972)

    Google Scholar 

  4. Kupsch, J.: Nucl. Phys. B12, 155 (1969); B11, 573 (1969); Nuovo Cimento66A, 202 (1970)

    Google Scholar 

  5. Mandelstam, S.: Phys. Rev.112, 1344 (1958)

    Google Scholar 

  6. Gribov, V.N.: Proceedings of the 1960 Annual International Conference on High Energy Physics at Rochester, p. 340

  7. Khuri, N.N.: Phys. Rev.132, 914 (1963)

    Google Scholar 

  8. Atkinson, D., Frederiksen, J.S.: Commun. math. Phys.40, 55 (1975)

    Google Scholar 

  9. Frederiksen, J.S.: Commun. math. Phys.43, 1 (1975)

    Google Scholar 

  10. Frederiksen, J.S., Johnson, P.W., Warnock, R.L.: J. Math. Phys.16, 1886 (1975)

    Google Scholar 

  11. Atkinson, D., Frederiksen, J.S., Johnson, P.W., Kaekebeke, M.: Commun. math. Phys.51, 67 (1976)

    Google Scholar 

  12. Atkinson, D., Kaekebeke, M.: Crossing symmetric amplitudes with Regge poles. Preprint, December 1976

  13. Johnson, P.W., Warnock, R.L.: Dynamical equations for a Regge theory with crossing symmetry and unitarity, Part I and II. Preprints, July 1976

  14. Kupsch, J.: Unitarity integral and Mellin transformation. Preprint, November 1975

  15. Kupsch, J.: On the existence of crossing symmetric and unitary scattering amplitudes with Regge poles. Technical Report, May 1977

  16. Kupsch, J.: Commun. math. Phys.19, 65 (1970)

    Google Scholar 

  17. Smart, D.R.: Fixed point theorems. Cambridge: University Press 1974

    Google Scholar 

Download references

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Authors and Affiliations

  1. Fachbereich Physik, Universität Kaiserslautern, D-6750, Kaiserslautern, Federal Republic of Germany

    J. Kupsch

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  1. J. Kupsch
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Communicated by J. Ginibre

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Kupsch, J. On the existence of crossing symmetric and unitary scattering amplitudes with Regge poles. Commun.Math. Phys. 57, 219–233 (1977). https://doi.org/10.1007/BF01614164

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  • DOI: https://doi.org/10.1007/BF01614164

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