Equations for on-shell partial-wave amplitudes in the boundary condition model

The author considers a method that makes it possible to take into account the quark-gluon degrees of freedom in the system in the framework of the quark bag model and the meson degrees of freedom on the basis of fairly general requirements of S-matrix theory. It is shown that the proposed equations contain the potential scattering model as the limiting case. The interaction of the hadrons with the meson fields is determined by model-free characteristics and can be taken into account by the methods of quantum field theory. The proposed method makes it possible to exploit fully the principle of the dominant contribution of the singularities of the scattering amplitude with respect to the momentum transfer nearest the physical region