The new Regge-eikonal model of hadron interaction based on the analyticity of the scattering amplitude with taking into account the hadron structure is presented. In the framework of the model two new methodics are developed, and two new effects are discovered. The main features of the model are: a unique energy dependence of the basic asymptotic terms of the Born amplitude (all Born terms have one fixed intercept); the real part of the hadronic elastic scattering amplitude is determined only through the complex Mandelstam variable S satisfying the dispersion relations; the use of two fixed forms of factors determined by different momenta of the same Generalized Parton Distribution (GPDs). We have obtained the new form of t dependence of GPDs of hadrons which unifies parton distributions of the proton, neutron and used the isotopic invariance. The corresponding electromagnetic, gravitomagnetic form factors, Compton form factors and transition form factor are calculated. On the base of these form factors, the elastic hadron scattering amplitude is obtained with taking into account the analytical properties such as unitarity, crossing symmetry, polynomial boundedness. A simultaneous description of different spin independent and spin dependent reactions of pp, pp, pn, pπ (from √s = 3.6 GeV up to √s = 13 TeV) are obtained with minimum fitting parameters. The existence of the new effects in high energy elastic pp and pp scattering is revealed by using the data-driving method for the first time at a quantitative level. The negligible contributions of the hard Pomeron and the presence of the non-small contributions of the maximal Odderon were obtained. The non-dying form of the spin-flip amplitude is examined as well. The investigation of the nucleon structure shows that the density of the matter in hadrons is more concentrated than the charge density. Our calculations show that the ratio of the radii of the electromagnetic density to the gravitomagnetic density is approximately the same for the nucleon and pion. Effects of various residual quark potentials of a string type with sharp falling at large distances is investigated. It is shown that this type of potentials can lead to the additional effects some feature in form of small oscillation in the differential cross sections at small momentum transfer.

(based on the circle of works 2009-2024 years)