Density Matrix Expansion for Low-Momentum Interactions

Abstract

A first step toward a universal nuclear energy density functional based on low-momentum interactions is taken using the density matrix expansion (DME) of Negele and Vautherin. The DME is adapted for non-local momentum-space potentials and generalized to include local three-body interactions. Different prescriptions for the three-body DME are compared. Exploratory results are given at the Hartree-Fock level, along with a roadmap for systematic improvements within an effective action framework for Kohn-Sham density functional theory.

50 pages, 10 figures

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Cited by in corpus (35)

• Improved nuclear matter calculations from chiral low-momentum interactions
• Chiral three-nucleon forces and neutron matter
• One-quasiparticle States in the Nuclear Energy Density Functional Theory
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - I. Formalism at second order with a two-nucleon interaction
• Toward ab initio density functional theory for nuclei
• Nuclear chiral dynamics and thermodynamics
• New applications of renormalization group methods in nuclear physics
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• What is ab initio in nuclear theory?
• Neutron star crusts from mean field models constrained by chiral effective field theory
• Regulator Artifacts in Uniform Matter for Chiral Interactions
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
• An improved density matrix expansion for spin-unsaturated nuclei
• Non-empirical pairing energy functional in nuclear matter and finite nuclei
• Convergence of density-matrix expansions for nuclear interactions
• Testing the density matrix expansion against ab initio calculations of trapped neutron drops
• Short-range correlation physics at low RG resolution
• A global microscopic description of nucleon-nucleus scattering with quantified uncertainties
• Nuclear energy density functional from chiral two- and three-nucleon interactions
• Proton elastic scattering on calcium isotopes from chiral nuclear optical potentials
• Role of three-nucleon forces and many-body processes in nuclear pairing
• Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions
• Partial-wave contributions to pairing in nuclei
• Nuclear energy density functional from chiral pion-nucleon dynamics revisited
• Isovector part of nuclear energy density functional from chiral two- and three-nucleon forces
• Eft for DFT
• The Negele-Vautherin density matrix expansion applied to the Gogny force
• Instabilities in the Nuclear Energy Density Functional
• Neutron elastic scattering on calcium isotopes from chiral nuclear optical potentials
• Applying the Density Matrix Expansion with Coordinate-Space Chiral Interactions
• Incorporating Brueckner-Hartree-Fock correlations in the Density Matrix Expansion approach
• Exact-exchange density functional theory for neutron drops
• Comparing different density-matrix expansions for long-range pion exchange
• Nuclear energy density functional from chiral pion-nucleon dynamics: Isovector terms
• $\alpha$-nucleus optical potentials from chiral effective field theory $NN$ interactions