  We developed new parameterizations of local regularized finite-range
pseudopotentials up to next-to-next-to-next-to-leading order (N3LO), used as
generators of nuclear density functionals. When supplemented with zero-range
spin-orbit and density-dependent terms, they provide a correct single-reference
description of binding energies and radii of spherical and deformed nuclei. We
compared the obtained results to experimental data and discussed benchmarks
against the standard well-established Gogny D1S functional.
