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Springer Tracts in Modern Physics, Volume 61 pp 109–119Cite as

Rising cross-sections

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Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 61))

Abstract

Amplitudes with total cross-sections rising asymptotically like (logs)\+ require shrinkage of the diffraction peak. For 0 <β+ ≦ 1, it is sufficient to have a leading positive signature trajectory which is regular at t = 0, but not a constant. For 1<β+≦2, the trajectory must have a branch point at t = 0. Explicit amplitudes with complex Pomeranchuk trajectories are given which are compatible with t channel unitarity. The limiting case of maximal absorption is considered briefly.

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References

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Authors and Affiliations

  1. The Enrico Fermin Institute and the Department of Physics, University of Chicago, 60637, Chicago, Illinois, USA

    Prof. Dr. R. Oehme

  2. CERN, CH-1211, Geneva, Switzerland

    Prof. Dr. R. Oehme

Authors
  1. Prof. Dr. R. Oehme
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© 1972 Springer-Verlag

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Oehme, R. (1972). Rising cross-sections. In: Springer Tracts in Modern Physics, Volume 61. Springer Tracts in Modern Physics, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0111097

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  • DOI: https://doi.org/10.1007/BFb0111097

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05739-0

  • Online ISBN: 978-3-540-37144-1

  • eBook Packages: Springer Book Archive

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