What do experimental data "say" about growth of hadronic total cross-section?

Details What do experimental data "say" about growth of hadronic total cross-section? What do experimental data "say" about growth of hadronic total cross-section?

1997-06-09

arxiv.org/abs/hep-ph/9706306v1

Nuovo Cim. A110 (1997) 537-548

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 18 pages, 5 eps figures included, to be published in Il Nuovo Cimento

Scientific paper

10.1007/BF03035899

We reanalyse $\bar p p$ and $pp$ high energy data of the elastic scattering above $\sqrt{s}=5$ GeV on the total cross-section $\sigma_{tot}$ and on the forward $\rho$-ratio for various models of Pomeron, utilizing two methods. The first one is based on analytic amplitudes, the other one relies on assumptions for $\sigma_{tot}$ and on dispersion relation for $\rho$. We argue that it is not possible, from fitting only existing data for forward scattering, to select a definite asymptotic growth with the energy of $\sigma_{tot}$. We find equivalent fits to the data together with a logarithmic Pomeron giving a behavior $\sigma_{tot} \propto \ln ^\gamma s$, $\gamma\in [0.5,2.20]$ and with a supercritical Pomeron giving a behavior $\sigma_{tot} \propto s^\epsilon $, $\epsilon\in [0.01,0.10]$.

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