On the Diffusion of Decaying Particles

摘要

The probability of neutron absorption on a spherical surface for a radial source in a medium for which the particle has prescribed lifetime and rate of diffusion is calculated. This helps illuminate the more intricate, related problem for a charged particle diffusing in the presence of a radial inverse‐square electric field to the extent that an explicit relation for the relative absorption probabilities that accompany changes in the direction of the drift field is secured. An asymptotic solution for the absorption probability is also provided which in first‐order approximation may be applied in the range of interest for transistors.