Evidence for maximality of strong interactions from LHC forward data

Abstract

It is important to check if the Froissaron–Maximal Odderon (FMO) approach is the only model in agreement with the LHC data. We therefore generalized the FMO approach by relaxing the ln2⁡s constraints both in the even-and odd-under-crossing amplitude. We show that, in spite of a considerable freedom of a large class of amplitudes, the best fits bring us back to the maximality of strong interaction. Moreover, if we leave Odderon Regge pole intercept αO(0) completely free we find a very good solution for αO(0) near −1 in agreement with the result of oddballs spectroscopy in QCD based on AdS/CFT correspondence. Keywords: Froissaron, Maximal Odderon, Total cross sections, The phase of the forward amplitude, Odderon intercept