Nonlocal energy density functionals for low-energy nuclear structure

Abstract

We introduce a finite-range pseudopotential built as an expansion in derivatives up to next-to-next-to-next-to-leading order (N${}^3$LO) and we calculate the corresponding nonlocal energy density functional (EDF). The coupling constants of the nonlocal EDF, for both finite nuclei and infinite nuclear matter, are expressed through the parameters of the pseudopotential. All central, spin-orbit, and tensor terms of the pseudopotential are derived both in the spherical-tensor and Cartesian representation. At next-to-leading order (NLO), we also derive relations between the nonlocal EDF expressed in the spherical-tensor and Cartesian formalism. Finally, a simplified version of the finite-range pseudopotential is considered, which generates the EDF identical to that generated by a local potential.

24 pages, submitted to Journal of Physics G

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• Nuclear energy density optimization: Large deformations
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• Effective 3-Body Interaction for Mean-Field and Density-Functional Theory

Cited by in corpus (24)

• Beyond Mean-Field Calculations for Odd-A Nuclei
• Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals
• Linear response of homogeneous nuclear matter with energy density functionals
• Error Analysis in Nuclear Density Functional Theory
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation
• Effective density functionals beyond mean field
• Ab Initio Derivation of Model Energy Density Functionals
• Solution of universal nonrelativistic nuclear DFT equations in the Cartesian deformed harmonic-oscillator basis. (IX) HFODD (v3.06h): a new version of the program
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Nonlocal energy density functionals for pairing and beyond-mean-field calculations
• Uncertainty Quantification and Propagation in Nuclear Density Functional Theory
• Study of spin polarized nuclear matter and finite nuclei with finite range simple effective interaction
• Estimating the relevance of predictions from nuclear mean-field models
• Model nuclear energy density functionals derived from ab initio calculations
• Propagation of uncertainties in the nuclear DFT models
• Linear Response Theory with finite-range interactions
• Properties of spherical and deformed nuclei using regularized pseudopotentials in nuclear DFT
• Optimized nuclear energy density functionals including long-range pion contributions
• Semi-contact 3-body interaction for nuclear density functional theory
• How to renormalize coupled cluster theory
• Landau parameters for energy density functionals generated by local finite-range pseudopotentials
• Impact of choices for center-of-mass correction energy on the surface energy of Skyrme energy density functionals
• Quadrupole Strength in Isobaric Triplets
• Regularized pseudopotential for mean-field calculations