Abstract
A projection formalism is proposed for describing scattering in a system of several particles on the basis of separation of a finite-dimensional internal subspace. For a sufficiently large internal subspace the kernels of the modified integral equations of Faddeev-Yakubovskii type become small, and this justifies the use of perturbation theory. Expressions are obtained for the amplitudes in the zeroth order, which are completely determined by the inhomogeneous terms of the equations and tend to the exact amplitudes when the internal subspace is enlarged.
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