Abstract
The influence of an arbitrary statistical interactions, which is also random in space, on the angular correlation of two particles successively by a nucleus is investigated. The resulting time-dependent angular correlation function has the form c 0+Σ ic iƒ i(θ) e λit , in which the ƒ i(θ) represent characteristic angular distributions given by the properties of the interaction in the source by the type of particle emitted in the second decay. Some special cases are considered. If, for example, the statistical interaction consists of small electric quadrupole and magnetic dipole perturbations and the second particle is a photon, the ƒ i(θ) become identical to Legendre polynomials, as has been shown by Abragam and Pound. Sufficiently accurate measurements of the characteristics angular distributions and decay constants will give information on the mechanisms of the spin relaxation by the statistical interaction in the source.
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