Nuclear Levels of ${\mathrm{Cd}}^{115}$ and ${\mathrm{Cd}}^{117}$ from ($d, p$) Reaction Studies

Levels of ${\mathrm{Cd}}^{115}$ and ${\mathrm{Cd}}^{117}$ below about 3 MeV have been studied by observation of the energy and angular distributions of protons emitted in the ${\mathrm{Cd}}^{114}(d, p)$ and ${\mathrm{Cd}}^{116}(d, p)$ reactions, respectively. For many of the levels, $l$ values of the captured neutrons have been assigned by comparison of the angular distributions with calculations based on the distorted-wave Born approximation. Results are analyzed in terms of the strong-pairing model of the nucleus as treated by Kisslinger and Sorensen. The experimental results are in good general agreement with predictions of the model, with the major exception that the energy of the $g_{\frac{7}{2}}$ single-particle orbital is found to be lower than predicted in the cadmium region. The $Q$ values for the ($d, p$) reactions to the ground states of ${\mathrm{Cd}}^{115}$ and ${\mathrm{Cd}}^{117}$ are 3.939±0.020 and 3.550±0.020 MeV, respectively. In both cases the ground states have spin and parity ½+. The $\frac{11}{2}-$ isomers lie 173±10 and 133±10 keV above the ground states in ${\mathrm{Cd}}^{115}$ and ${\mathrm{Cd}}^{117}$, respectively.