# Analytic amplitudes for hadronic forward scattering: COMPETE update

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arXiv:hep-ph/0209206v1 18 Sep 2002 ar X iv :h ep -p h/ 02 09 20 6v 1 1 8 Se p 20 02 1 Analytic Amplitudes for Hadronic Forward Scattering : COMPETE update B. Nicolescua, J. R. Cudellb, V. V. Ezhelac, P. Gaurona, K. Kangd, Yu. V. Kuyanovc, S. B. Lugovskyc, E. Martynove, E. A. Razuvaevc, N. P. Tkachenkoc aLPNHE (Unite´ de Recherche des Universite´s Paris 6 et Paris 7, Associe´e au CNRS), Universite´ Pierre et Marie Curie, Tour 12 E3, 4 Place Jussieu, 75252 Paris Cedex 05, France bInstitut de Physique, Baˆt. B5, Universite´ de Lie`ge, Sart Tilman, B4000 Lie`ge, Belgium cCOMPAS group, IHEP, Protvino, Russia dPhysics Department, Brown University, Providence, RI, U.S.A. eBogolyubov Institute for Theoretical Physics, 03143 Kiev, Ukraine We consider several classes of analytic parametrizations of hadronic scattering amplitudes, and compare their predictions to all available forward data (pp, p¯p, pip,Kp, γp, γγ,Σp). Although these parametrizations are very close for √ s ≥ 9 GeV, it turns out that they differ markedly at low energy, where a universal Pomeron term ∼ ln2 s enables one to extend the fit down to √s = 4 GeV. We present predictions on the total cross sections and on the ratio of the real part to the imaginary part of the elastic amplitude (ρ parameter) for present and future pp and p¯p colliders, and on total cross sections for γp → hadrons at cosmic-ray energies and for γγ → hadrons up to √ s = 1 TeV. Analytic parametrizations of forward (t = 0) hadron scattering amplitudes is a well-established domain in strong interactions. However, in the past, the phenomenology of forward scattering hadquite a high degree of ar- bitrariness : i) Excessive attention was paid to pp and p¯p scattering ; ii) Important physical con- straints were often mixed with less general or even ad-hoc properties ; iii) The cut-off in en- ergy, defining the region of applicability of the high-energy models, differed from one author to the other ; iv) The set of data cons

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