Elastic pp scattering within Regge model

Abstract

In high-energy nuclear physics, it is difficult to find a more consistent theoretical model of nucleon interactions
than the Regge theory. In turn, the Regge theory strongly depends on the parameterization of the amplitude. Over the past decades, several parameterizations have been proposed in different energy ranges. One of them was obtained ten years ago for helicity amplitudes of elastic nucleon-nucleon scattering in the range from 3 to 50 GeV. This range is of particular interest since it covers the upper energy limit of the NICA (Nuclotron based ion collider facility) accelerator complex launched last year at the Nuclotron accelerator at the Joint Institute for Nuclear Research (Russian Federation). Thus, Regge theory can provide theoretical support for scientific research at the NICA collider. However, in the scientific community there is some distrust of this theory, associated with its inherent phenomenological nature. For this reason, taking into account the uncertainties of Regge theory, we additionally tested the above parameterization of the NN-amplitudes in this theory. For this purpose, using this parameterization, we calculated the invariant differential cross section for elastic pp scattering at a beam momentum of 9 GeV/c; comparison between the result of the calculation and the existing experimental data showed satisfactory agreement
under the assumption of some variation in the amplitude parameters.