The standard Regge poles are considered as inputs for two unitarization
methods: eikonal and U-matrix. It is shown that only models with three input
pomerons and two input odderons can describe the high energy data on pp and
pˉp elastic scattering including the new data from Tevatron and LHC.
However, it seems that the both considered models (eikonal and U-matrix)
require a further modification (e.g., to explore nonlinear reggeon trajectories
and/or nonexponential vertex functions) for a more satisfactory description of
the data at 19.0 GeV≤s≤ 7 TeV and 0.01 ≤∣t∣≤14.2
GeV2.Comment: 11 pages, 7 figures, typos are corrected, minor corrections in the
text, No changes in results and conclusion. To appear in EP