The First Three Pomerons

Eur.Phys.J.C23:135-143,2002 A model of a three Pomeron contribution to high energy elastic $pp$ and $\bar p p$ scattering is proposed. The data are well described for all momenta ($0.01\le |t|\le 14. GeV^2$) and energies ($8.\le\sqrt{s}\le 1800. GeV$) ($\chi^2/{\rm d.o.f.}=2.74$). The model predicts the appearance of two dips in the differential cross-section which will be measured at LHC. The parameters of the Pomeron trajectories are: $\alpha(0)_{{\Bbb P}_1}=1.058, \alpha'(0)_{{\Bbb P}_1}=0.560 (GeV^{-2});$ $\alpha(0)_{{\Bbb P}_2}=1.167, \alpha'(0)_{{\Bbb P}_2}=0.273 (GeV^{-2});$ $\alpha(0)_{{\Bbb P}_3}=1.203, \alpha'(0)_{{\Bbb P}_3}=0.094 (GeV^{-2}).$