Analytic components for the hadronic total cross-section: Fractional calculus and Mellin transform

E. Capelas de Oliveira, M. J. Menon, P. V. R. G. Silva

In high-energy hadron-hadron collisions, the dependence of the total cross-section (${\sigma }_{tot}$) with the energy still constitutes an open problem for QCD. Phenomenological analyses…