Cd110,116(α,α)Cd110,116elastic scattering and systematic investigation of elasticαscattering cross sections along theZ=48isotopic andN=62isotonic chains

Abstract

The elastic scattering cross sections for the reactions $^{110,116}\mathrm{Cd}$($\ensuremath{\alpha},\ensuremath{\alpha}$)$^{110,116}\mathrm{Cd}$ at energies above and below the Coulomb barrier are presented to provide a sensitive test for the $\ensuremath{\alpha}$-nucleus optical potential parameter sets. Additional constraints for the optical potential are taken from the analysis of elastic scattering excitation functions at backward angles which are available in literature. Moreover, the variation of the elastic $\ensuremath{\alpha}$ scattering cross sections along the $Z=48$ isotopic and $N=62$ isotonic chain is investigated by the study of the ratios of the $^{106,110,116}\mathrm{Cd}$($\ensuremath{\alpha},\ensuremath{\alpha}$)$^{106,110,116}\mathrm{Cd}$ scattering cross sections at ${E}_{\mathrm{cm}}\ensuremath{\approx}15.6\text{and}18.8$ MeV and the ratio of the $^{110}\mathrm{Cd}$($\ensuremath{\alpha},\ensuremath{\alpha}$)$^{110}\mathrm{Cd}$ and $^{112}\mathrm{Sn}$($\ensuremath{\alpha},\ensuremath{\alpha}$)$^{112}\mathrm{Sn}$ reaction cross sections at ${E}_{\mathrm{cm}}\ensuremath{\approx}18.8$ MeV, respectively. These ratios are sensitive probes for the $\ensuremath{\alpha}$-nucleus optical potential parametrizations. The potentials under study are a basic prerequisite for the prediction of $\ensuremath{\alpha}$-induced reaction cross sections (e.g., for the calculation of stellar reaction rates in the astrophysical $p$ or $\ensuremath{\gamma}$ process).