Abstract
Abstract The neutron slowing-down equation in an infinite homogeneous medium with isotropic scattering is solved. The slowing-down kernel is separated into an elastic and an inelastic part. The collision density is expressed in terms of Green’s function of the elastic scattering only. The Greuling- Goertzel (G-G) approximation is used for the elastic scattering kernel, while Volkin’s model is used for the inelastic one. A differential-difference equation for a one-level excited state is solved by Laplace transform. Discussion of the poles obtained in the Laplace inverse shows that there are forbidden zones in which there is no solution. Numerical calculations of the collision density in Fes6 at 922 and 865 kev levels are performed, which give the same behaviour as obtained by Corngold. The average slowing-down time calculated with our approach agrees with Williams’s result in the asymptotic solution.
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