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Angular distributions of elastic $^{140}$Ce($\alpha$,$\alpha$)$^{140}$Cescattering are analyzed in the framework of the optical model from low energiesaround the Coulomb barrier up to about 40\,MeV. From the local fits the totalreaction cross section $\sigma_{\rm{reac}}$ is extracted. This procedurerequires experimental scattering data with small uncertainties. The results for$\sigma_{\rm{reac}}$ are compared to predictions of different systematic globalpotentials. It is found that the total reaction cross section$\sigma_{\rm{reac}}$ is well predicted from all global potentials under studyalthough the reproduction of the angular distributions is not perfect in allcases. In addition, the lower energy limit for the extraction of$\sigma_{\rm{reac}}$ from elastic scattering angular distributions is analyzed.Finally, the potentials under study are used to calculate the$^{143}$Nd(n,$\alpha$)$^{140}$Ce cross section, and the predictions arecompared to experimental data.

physical review. c. nuclear physics/physical review. c, nuclear physics

Total reaction cross section $\sigma_{\rm{reac}}$ of $\alpha$-induced  reactions from elastic scattering: the example  $^{140}$Ce($\alpha$,$\alpha$)$^{140}$Ce