Neutron resonance spectroscopy on ${}_{}{}^{113}{}_{}{}^{}\mathrm{Cd}$ to ${\mathit{E}}_{\mathit{n}}$=15 keV

The results of a study of the compound nucleus ${}_{}{}^{114}{}_{}{}^{}\mathrm{Cd}$ by neutron time-of-flight spectroscopy methods are presented. Targets of both natural cadmium and cadmium enriched in the 113 isotope were used. The neutron total capture and neutron transmission were both measured. A total of 275 new resonances were located. In addition, 102 other resonances which were previously known but not assigned to a particular cadmium isotope were definitively assigned to ${}_{}{}^{113}{}_{}{}^{}\mathrm{Cd}$. Resonance parameters ${\mathit{E}}_0$ and g${\mathrm{\Gamma }}_{\mathit{n}}$ were obtained for both newly identified and previously known resonances. Of the 437 resonances now known in ${}_{}{}^{113}{}_{}{}^{}\mathrm{Cd}$, we identify 104 of them as l=1 based on their small widths. Strength functions and level spacings are obtained for both l=0 and l=1 resonances. Comparisons of the data with Porter-Thomas reduced width distributions, Wigner nearest neighbor spacing distributions, and the Dyson-Metha ${\mathrm{\Delta }}_3$ statistic are given. The linear correlation coefficient between adjacent spacings is also discussed. The spectroscopic information obtained is of importance for planning and interpretation of parity violation measurements on the p-wave resonances of ${}_{}{}^{113}{}_{}{}^{}\mathrm{Cd}$.