First determination of the 𝜌� parameter at 𝑠�√=13 TeV: Probing the existence of a colourless C-odd three-gluon compound state

Abstract

The TOTEM experiment at the LHC has performed the first measurement at 𝑠√=13TeV of the 𝜌 parameter, the real to imaginary ratio of the nuclear elastic scattering amplitude at 𝑡=0, obtaining the following results: 𝜌=0.09±0.01 and 𝜌=0.10±0.01, depending on different physics assumptions and mathematical modelling. The unprecedented precision of the 𝜌 measurement, combined with the TOTEM total cross-section measurements in an energy range larger than 10TeV (from 2.76 to 13TeV), has implied the exclusion of all the models classified and published by COMPETE. The 𝜌 results obtained by TOTEM are compatible with the predictions, from other theoretical models both in the Regge-like framework and in the QCD framework, of a crossing-odd colourless 3-gluon compound state exchange in the t-channel of the proton–proton elastic scattering. On the contrary, if shown that the crossing-odd 3-gluon compound state t-channel exchange is not of importance for the description of elastic scattering, the 𝜌 value determined by TOTEM would represent a first evidence of a slowing down of the total cross-section growth at higher energies. The very low-|t| reach allowed also to determine the absolute normalisation using the Coulomb amplitude for the first time at the LHC and obtain a new total proton–proton cross-section measurement 𝜎tot=(110.3±3.5)mb, completely independent from the previous TOTEM determination. Combining the two TOTEM results yields 𝜎tot=(110.5±2.4)mb.