Three-quark force effect in proton–proton scattering at 7, 8 and 13 TeV

Abstract

Considering that the proton has an outer pion cloud of radius ∼ 0.87 fm and an inner core of radius ∼ 0.44 fm where the valence three quarks are confined and in the framework of optical limit approximation of Glauber, the proton-proton elastic scattering differential cross section, total cross section, the ratio of real part to imaginary part of elastic scattering amplitude in the forward direction, the total elastic and inelastic cross sections are calculated for LHC energy at √ s = 7, 8, 13 TeV. The three-quark force is included. A good agreement is obtained with the experimental data at LHC energy 7, 8 and 13 TeV of last measurements of TOTEM Collaborations. Only for the differential cross section a disagreement is obtained for q 2 > 1 (GeV/c) 2 , where the complete Glauber polynomial is needed. We tried to confirm the results of radii of two-and three-quark force and the gluon quant energy which were obtained before at ISR energy.