Abstract

Purpose. The existing experimental data on the elastic scattering of protons (antiprotons) by protons, including those obtained at the Collider, are not in doubt for non-exponential behavior of differential cross-section. Our task is to choose the most adequate analytical model that describes this behavior of the differential cross sections for elastic pp- and pp¯ scattering.
Methods. Pomeron alternatives for describing the non-exponential behavior of the diffraction cone in differential pp- and pp¯ elastic cross-section are investigated.
Results. It was shown that the pomeron amplitude with two tewrms with different t-dependences is strongly suggested by the data.
Conclusions. The values of the slope B(s, t) and curvature parameter C(s, t) have been calculated for different Pomeron model within the wide s – and low t – range with the allowance made for the diffraction cone shape. The absolute values of the curvature parameter C(s, 0) is predicted to be decreasing depending on s and change of sign at asymptotically large energies

Keywords: elastic scattering, high energy, pomeron, slope, curvature

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