In the framework of Glauber optical limit approximation, considering the proton has an outer pion cloud of radius ∼ 0.87 f m and an inner core of radius ∼ 0.44 f m where the valence three quarks are confined, and including two-gluon exchange three-quark force, a good fit with the experimental data of p-p elastic scattering differential cross section up to q 2 ≈ 3 (GeV/c) 2 , total cross section and the ratio of real to imaginary parts of elastic scattering amplitude in the forward direction is obtained at laboratory momenta 200, 290, 500, 1070 and 1500 GeV/c. The radii of two-quark interaction r t and three-quark force r th are calculated. The quant energy representing the gluon E g is evaluated.

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.