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The soft diffraction phenomena in the elastic proton-proton scattering arereviewed from the viewpoint of experiments at the LHC (TOTEM and ATLAScollaboration). In the framework of the High Energy Generalized Structure(HEGS) model the form of the diffraction minimum in the nucleon-nucleon elasticscattering in a wide energy region is analyzed. The energy dependences of themain characteristics of the diffraction dip are obtained. The numericalpredictions at LHC energies are presented. The comparison of the modelpredictions with the new LHC data at $\sqrt{s}=13$ TeV is made.

The energy dependence of the diffraction minimum in the elastic scattering and new LHC data