The cross sections for the elastic scattering reactions Sn-112,Sn-124(alpha,alpha)Sn-112,Sn-124 at energies above and below the Coulomb barrier are presented and compared to predictions for global alpha-nucleus potentials. The high precision of the new data allows a study of the global alpha-nucleus potentials at both the proton- and neutron-rich sides of an isotopic chain. In addition, local alpha-nucleus potentials have been extracted for both nuclei and used to reproduce elastic scattering data at higher energies. Predictions from the capture cross section of the reaction Sn-112(alpha,gamma)Te-116 at astrophysically relevant energies are presented and compared to experimental data.
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