Abstract
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.
Highlights
The nuclear density functional theory (DFT) offers one of the most flexible frameworks to microscopically describe structure of atomic nuclei [1, 2]
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
A key element in the nuclear DFT is the energy density functional (EDF), which is usually obtained by employing effective forces as its generators
Summary
The nuclear density functional theory (DFT) offers one of the most flexible frameworks to microscopically describe structure of atomic nuclei [1, 2]. A key element in the nuclear DFT is the energy density functional (EDF), which is usually obtained by employing effective forces as its generators. The Skyrme EDF is based on a zero-range generator, combined with a momentum expansion up to second order, whereas the Gogny EDF is based on the generator constructed with two Gaussian terms. While Skyrme-type EDFs can reproduce various nuclear bulk properties relatively well, their limits have been reached [6], and proposed extensions of zero-range generators [7, 8] did not prove efficient enough [9].
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