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

We present the first 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 \emph{ab initio} Hamiltonian. By perturbing the \emph{ab initio} Hamiltonian with several functional generators defining 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 \emph{ab initio}-equivalent Skyrme EDF. We find that the resulting functional describes properties of atomic nuclei and infinite nuclear matter quite poorly. This may point out to the necessity of building up the \emph{ab initio}-equivalent functionals from more sophisticated generators. However, we also indicate that the current precision of the \emph{ab initio} calculations may be insufficient for deriving meaningful nuclear EDFs.