Conservation of Angular Momentum in the Statistical Theory of Nuclear Reactions

The conservation of total angular momentum $J$, $z$-component of angular momentum $m$, and parity $p$ are considered in connection with the statistical theory of nuclear reactions. Results are obtained for the angular distribution of a single group of outgoing particles and for the cross section as a function of the spin of the residual nucleus. The energy and angular distributions are also considered for the case in which many groups are observed simultaneously. The density of nuclear states as a function of spin affects results appreciably.