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Density Matrix Expansion for Low-Momentum Interactions

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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.

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nucl-th 1

years

2025 1

verdicts

CONDITIONAL 1

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  • A nuclear mass model rooted in chiral effective field theory nucl-th · 2025-04-29 · conditional · none · ref 43 · internal anchor

    A Hartree-Fock model with 11 chiral low-energy constants fitted to 18 nuclei reaches 3.5 MeV RMS on 107 even-even nuclei, worse than a liquid-drop fit to the same data.