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On the application of the theory of the translational Brownian movement to the calculation of the differential cross-sections for the incoherent scattering of slow neutrons

It is shown how three models (based on the theory of the Brownian movement) for the translational motion of an atom in a fluid may be used to calculate explicitly the intermediate scattering functions and differential cross sections for the incoherent scattering of slow neutrons. In each case the intermediate scattering function has a mathematical form which is similar to the after effect function describing the decay of electric polarisation for the rotational versions of the models.