Vibrational Spectrum ofCd112

The energies and angular distributions of proton groups produced in the ${\mathrm{Cd}}^{111}\mathrm{}(d,p)\mathrm{}{\mathrm{Cd}}^{112}$ reaction were measured with an over-all resolution of 20 keV. A distorted-wave analysis, employing experimentally determined optical-model parameters, was used to extract values of $l_n$ and spectroscopic strengths for states up to 3.3-MeV excitation in ${\mathrm{Cd}}^{112}$. Wave functions of ${\mathrm{Cd}}^{111}$ and ${\mathrm{Cd}}^{112}$ calculated in the random-phase approximation are tested both by comparison of sum-rule predictions with the summed spectroscopic factors, and by comparison of individual spectroscopic factors with those predicted by the microscopic theory of nuclear vibrations for states in ${\mathrm{Cd}}^{111}$ and the zero-, one-, and two-phonon states in ${\mathrm{Cd}}^{112}$.