  Parity-odd asymmetries in the electromagnetic decays of compound nuclei can
sometimes be amplified above values expected from simple dimensional estimates
by the complexity of compound nuclear states. In this work we use a statistical
approach to estimate the root mean square (RMS) of the distribution of expected
parity-odd correlations $\vec{s_{n}} \cdot \vec{k_{\gamma}}$, where $\vec
{s_{n}}$ is the neutron spin and $\vec{k_{\gamma}}$ is the momentum of the
gamma, in the integrated gamma spectrum from the capture of cold polarized
neutrons on Al, Cu, and In and we present measurements of the asymmetries in
these and other nuclei. Based on our calculations, large enhancements of
asymmetries were not predicted for the studied nuclei and the statistical
estimates are consistent with our measured upper bounds on the asymmetries.
