Abstract. This article presents the development of the A.M.Baldin approach using a description of relativistic nuclear interactions in the four velocity space. The modification of this approach taking into account the energy dependence of inclusive spectra of hadron has allowed us to describe the differential cross section as a function of the transverse momentum and a satisfactory description of the slopes of the hadron spectra as functions of the energy, has been obtained. The hadron spectra as functions of the energy, has been obtained. Results of our calculations have coincided with experimental data in a wide energy range with high precision.