Angular correlations of decay products of a compound nucleus with large angular momentum

Analytic expressions are derived within the framework of the statistical model for the angular correlations, integrated over the energy spectrum, between the particles evaporated from a compound nucleus and between a particle emitted by the initial compound nucleus and a fission fragment from the daughter nucleus. This is done with the aid of the classical models for angular-momentum addition and the relation between the orbital angular momentum and direction of motion of the emitted particle. The results are obtained without the assumption that the angular momentum of the decaying nucleus is small, and this allows their use in the description of the angular correlations of products of heavy-ion reactions. Analysis of the experimental data shows that in some cases it is possible to unambiguously determine the moment of inertia of the residual nucleus left after the emission of two particles. The study of the angular correlation between a particle emitted by a nuclues and a fission fragment from the daughter nucleus enables one to obtain more accurate information about the moment of inertia of the fissioning nucleus in the intermediate state.