Regge-eikonal model for high energy elastic diffractive nucleon-nucleon scattering with a minimum number of reggeons

A phenomenological Regge-eikonal model with nonlinear monotonic parameterizations for Regge trajectories in which their asymptotic behavior in the perturbative region is taken into account explicitly is proposed. It is shown with the example of elastic proton-(anti)proton scattering that in the kinematic region (sqrt s ) > 23 GeV, 0.005 GeV² < ?t < 3 GeV², the diffraction pattern is mainly determined by only three Regge trajectories.