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Hartree-Fock calculations in the density matrix expansion approach

1997/05/28 by F. Hofmann, H. Lenske · 117 citations
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Atomic physics #Chemistry #Density functional theory #Density matrix #Hartree–Fock method #Isotopes of tin #Mathematics #Matrix (chemical analysis) #Neutron #Nuclear Physics and Applications #Nuclear matter #Nuclear physics research studies #Nuclear reactor physics and engineering #Nucleon #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Saturation (graph theory) #nucl-th

paper · pdf · doi:10.1103/physrevc.57.2281

published in Physical Review C 57(5), 2281-2293 (American Institute of Physics) · Revtex, 29 pages including 14 eps figures, using epsfig.sty

arxiv created 1997/05/28 · openalex publication_date 1998/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The density matrix expansion is used to obtain a local energy density functional for interactions with a realistic meson exchange structure. Hartree-Fock (HF) equations are derived and applications to infinite matter and finite nuclei are discussed. Using a generalized Slater approximation for the density matrix the HF equations still incorporate the momentum structure of the underlying finite range interaction. For applications a density dependent effective interaction is determined from a G matrix where the density dependence is adjusted to the saturation properties of symmetric nuclear matter. Intending applications to systems far off stability special attention is paid to the low density regime and asymmetric nuclear matter. Results are compared to Skyrme HF calculations. The ground state properties of stable nuclei are well reproduced. The potential of the approach is further exemplified in calculations for A=100\ensuremath-140 tin isotopes. Extended neutron skins are found beyond 130Sn corresponding to solid layers of neutron matter surrounding a core of normal composition.

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