When considering the scattering of slow neutrons in matter under conditions remote from those of resonance capture by atomic nuclei, one usually starts from the Born approximation, corresponding to the first order of perturbation theory. In a case in which the scattering material consists of a large number of particles (for example, a crystal), it is convenient to introduce a time formalism into the theory in order to calculate the scattering cross sections. In its most general presentation, the problem takes the following form.
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Yu. A. Izyumov (1963) studied this question.