  I consider a special atomic scattering problem where the target atom has
distinct "soft" and "hard" excitation modes. I demonstrate that in this problem
the integration out of "short-distance" (or "high-energy") physics may occur
automatically in the regular perturbative calculations, i.e., it may occur
without any cut off and renormalization. Not only that, the soft inelastic
processes happen already in the first Born approximation and the inclusive
cross-sections become unavoidable from the very beginning. All that is possible
because of correct physical and mathematical formulation of the problem. I
propose to build QFT in a similar way.
