https://doi.org/10.1140/epja/i2008-10695-1
Regular Article - Theoretical Physics
Density matrix expansion for low-momentum interactions
1
National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, 48824, East Lansing, MI, USA
2
Department of Physics, The Ohio State University, 43210, Columbus, OH, USA
3
Department of Physics and Astronomy, Ohio University, 45701, Athens, OH, USA
* e-mail: lplatter@mps.ohio-state.edu
Received:
1
December
2008
Accepted:
2
December
2008
Published online:
19
January
2009
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.
PACS: 21.10.Dr Binding energy and masses – / 21.60.Jz Nuclear Density Functional Theory and extensions (includes Hartree-Fock and random-phase approximations) – / 21.65.-f Nuclear matter –
© SIF, Springer-Verlag Berlin Heidelberg, 2009
