Inelastic cross sections, overlap functions and C q moments from ISR to LHC energies in proton interactions

We investigated the energy dependence of the parton-parton inelastic cross sections, parton-parton inelastic overlap functions and the Cq moments in proton interactions from s = 10 to 14000 GeV. The approach we used is based on a phenomenological procedure where elastic and inelastic proton observables are described in a connected way by exploring the unitarity of the S-matrix. Applying a quantum-chromodynamics-inspired eikonal model, that contains contributions of the quark-quark, quark-gluon and gluon-gluon interactions, theoretical predictions on inelastic cross sections and Cq moments are compared with measurements and show a successful description of the experimental data. The Koba-Nielson-Olesen hypothesis violation is discussed as a consequence of the semihard contribution to the multiparticle production in the interactions, in accordance with several experimental and theoretical previous results. A prediction of the ratio el tot as a function of the collision energy is presented and also compared with the experimental information.