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What do experimental data “say” about growth of hadronic total cross-sections?

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Il Nuovo Cimento A (1971-1996)

Summary

We reanalyse pp and pp high-energy data of the elastic scattering above √s45GeV on the total cross-section σtot and on the forward σ-ratio for various models of pomeron, utilizing two methods. The first one is based on analytic amplitudes, the other one relies on assumptions for σtot and on dispersion relations for б. We argue that it isnot possible, from fitting only existing data for forward scattering, to select a definite asymptotic growth with the energy of σtot. We find equivalent fits to the data together with a logarithmic pomeron giving a behavior σtot √ lnγs, γ∈ [0.5, 2.20] and with a supercritical pomeron giving a behavior σtot √sε, ε ∈ [0.01, 0.10].

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Authors and Affiliations

  1. Institut de Physique Nucléaire de Lyon, IN2P3-CNRS et Université Claude Bernard, F 69622, Villeurbanne Cedex, France

    P. Desgrolard & M. Giffon

  2. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Metrologichna st. 14b, 252143, Kiev, Ukraine

    E. Martynov

Authors
  1. P. Desgrolard
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  2. M. Giffon
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  3. E. Martynov
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Desgrolard, P., Giffon, M. & Martynov, E. What do experimental data “say” about growth of hadronic total cross-sections?. Il Nuovo Cimento A (1971-1996) 110, 537–548 (1997). https://doi.org/10.1007/BF03035899

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  • DOI: https://doi.org/10.1007/BF03035899

PACS 13.85.Dz

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