Optical potentials are a standard tool in the study of nuclear reactions, as they describe the interaction between a target nucleus and a projectile. The use of phenomenological optical potentials built using experimental data on stable isotopes is widespread. Although successful in their dedicated domain, it is unclear whether these phenomenological potentials can provide reliable predictions for unstable isotopes. To address this problem, optical potentials based on microscopic nuclear structure input calculations prove to be crucial and are an important current line of research. In this work we present an explicit implementation of the Feshbach formalism for the systematic derivation of optical potentials using input from nuclear structure models. Numerical tools for the derivation of Green's functions associated with nonlocal potentials are presented. The new optical potential, based on the valence shell model, is applied to the calculations of $n+{}^{24}\mathrm{Mg}$ elastic scattering and yields a close agreement with the experimental data.

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• Direct reactions
• Elastic scattering reactions
• Energy levels
• Optical, coupled-channel & distorted wave models
• Shell model
• Spectroscopic factors & electromagnetic moments