On thermodynamic description of hadron matter

The relation between the thermodynamic potential of a system of strongly interacting particles and the scattering characteristics of two, three etc. particles of the system is obtained within the framework of a scheme which describes the evolution of a quantum object not with respect to time, as usual, but with respect to the magnitude of the coupling constant. The method proposed does not require the solution of the Faddeev equations and does not lead to singularities of the forward scattering type. Some simple applications to the theory of hot nucleon matter are considered