Resonant Neutron Capture inLu175

A study of the neutron-capture reaction mechanism for radiative capture of resonant-energy neutrons has been made for ${}_{}{}^{175}{}_{}{}^{}\mathrm{Lu}(n,\gamma ){}_{}{}^{176}{}_{}{}^{}\mathrm{Lu}$. The statistical distribution of the partial radiation widths over 11 neutron resonances is inconsistent with a ${\chi }^2$ distribution with one degree of freedom. No correlations are observed between the $\gamma$-ray partial widths and the reduced neutron widths of either the capturing or final states. Neither is there any significant correlation among the individual $\gamma$-ray widths. Such facts indicate that neither channel capture nor doorway states contribute strongly to the neutron-capture process in the region above the neutron binding energy. However, there is a small but significant departure from a purely statistical compound-nuclear process. Final states unreported in previous experiments are observed. In addition, the spins of 11 resonances, as well as limitations on the spins of the low-lying final states are determined.