Abstract

A phonon-type expansion of the differential scattering cross section of slow neutrons is carried out in an entirely general way. The formula thus obtained can be applied to arbitrary target systems, in particular, to non-Gaussian systems such as anharmonic crystals and molecules with an arbitrary structure. A well-defined quasiclassical approximation is presented along the line of reasoning of our previous paper. When the present formalism is applied to a system of molecules, it results in an expansion in terms of the quanta of the rotational motion of the molecule. The effectiveness of our new formula is demonstrated in numerical calculations for HCl gas.

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