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 the Kohn-Sham density functional theory.
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Bogner, S.K., Furnstahl, R.J. & Platter, L. Density matrix expansion for low-momentum interactions. Eur. Phys. J. A 39, 219–241 (2009). https://doi.org/10.1140/epja/i2008-10695-1
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DOI: https://doi.org/10.1140/epja/i2008-10695-1