Model nuclear energy density functionals derived from ab initio calculations

Abstract

We present the first application of a new approach, proposed in (2016J.Phys.G:Nucl.Part.Phys.4304LT01) to derive coupling constants of the Skyrme energy density functional (EDF) fromab initioHamiltonian. By perturbing theab initioHamiltonian 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 anab initio-equivalent Skyrme EDF. We find that the resulting functional describes properties of atomic nuclei and infinite nuclear matter quite poorly. This may point to the necessity of building up theab initio-equivalent functionals from more sophisticated generators. However, we also indicate that the current precision of theab initiocalculations may be insufficient for deriving meaningful nuclear EDFs.