Lee-Yang-inspired functional including contributions to fourth order in effective field theory

In the last years, a new family of energy density functionals directly inspired by effective field theory (EFT) has been developed, among which the ELYO (extended Lee-Yang Orsay) functional. In this paper, a new extension of ELYO that includes the recently calculated fourth-order EFT terms is presented. Compared to the previous version, the description of neutron-drop energies slightly degrades for a harmonic trap $\mathrm{\hslash }\omega =10$ MeV – yet remaining reasonable – , but improves for $\mathrm{\hslash }\omega =5$ MeV. Furthermore, the obtained neutron effective mass agrees significantly better with $\mathit{\text{ab-initio}}$ estimates.