Model nuclear energy density functionals derived from \emph{ab initio} calculations

We present the rst application of a new approach, proposed in [Journal of Physics G: Nuclear and Particle Physics, vol. 43, 04LT01 (2016)] to derive coupling constants of the Skyrme energy density functional (EDF) from ab initio Hamiltonian. By perturbing the ab initio Hamiltonian with several functional generators dening the Skyrme EDF, we create a set of metadata that is then used to constrain the coupling constants of the functional. We use statistical analysis to obtain such an ab initioequivalent Skyrme EDF. We nd that the resulting functional describes properties of atomic nuclei and innite nuclear matter quite poorly. This may point out to the necessity of building up the ab initio-equivalent functionals from more sophisticated generators. However, we also indicate that the current precision of the ab initio calculations may be insucient for deriving meaningful nuclear EDFs.