Isobaric Analog Resonances in Proton Elastic Scattering fromCd110,Cd112, andCd114

Excitation functions have been measured for elastic and inelastic scattering of protons from ${}_{}{}^{110}{}_{}{}^{}\mathrm{Cd}$, ${}_{}{}^{112}{}_{}{}^{}\mathrm{Cd}$, and ${}_{}{}^{114}{}_{}{}^{}\mathrm{Cd}$ at proton energies from 6.0 to 11.0 MeV. The isobaric-analog resonances observed in ${}_{}{}^{111}{}_{}{}^{}\mathrm{In}$, ${}_{}{}^{113}{}_{}{}^{}\mathrm{In}$, and ${}_{}{}^{115}{}_{}{}^{}\mathrm{In}$ nuclei were analyzed by fitting the elastic excitation functions using a shell-model approach to reaction theory to extract quantitative nuclear-structure information for the parent analog states in ${}_{}{}^{111}{}_{}{}^{}\mathrm{Cd}$, ${}_{}{}^{113}{}_{}{}^{}\mathrm{Cd}$, and ${}_{}{}^{115}{}_{}{}^{}\mathrm{Cd}$. Spectroscopic factors have been evaluated, and their dependence on the choice of optical and bound-state potentials has been studied. Coulomb displacement energies were also obtained from these data. Comparisons have been made with existing ($d, p$) work on ${}_{}{}^{110}{}_{}{}^{}\mathrm{Cd}$, ${}_{}{}^{112}{}_{}{}^{}\mathrm{Cd}$, and ${}_{}{}^{114}{}_{}{}^{}\mathrm{Cd}$. In general, there is reasonable agreement between the ($p, p_0$) and ($d, p$) spectroscopic factors, excitation energies, orbital angular momenta, and total angular momenta.