Sharf I. Mechanism of hadron inelastic scattering cross-section growth in the multiperipheral model within the framework of perturbation theory

The new approximation, by which the system of nonlinear equations for constrained maximum point search of the modulus of multiperipheral scattering amplitude (under condition of the energy-momentum conservation and the conditions of the mass-shell for every particle in finite state) is analytically solved, is offered. Based on numerical and analytical analysis of constrained maximum properties the new mechanisms of cross-section growth are discovered. It is numerically shown that the discovered new mechanisms of growth of partial cross-section growth can ensure the total cross-section growth, which exists in the experiment. It is shown that the contribution of interference items, which correspond to consideration of diagrams with all permutations of particles in the finite state, is substantial.