Title: Incorporating Brueckner-Hartree-Fock correlations in energy density functionals

Journal Article · · Physical Review C
 [1];  [2];  [3]
  1. The Ohio State Univ., Columbus, OH (United States); DOE/OSTI
  2. Michigan State Univ., East Lansing, MI (United States)
  3. The Ohio State Univ., Columbus, OH (United States)
+ Show Author Affiliations

Recently, a microscopically motivated nuclear energy density functional was derived by applying the density-matrix expansion to the Hartree-Fock (HF) energy obtained from long-range chiral effective-field theory two- and three-nucleon interactions. However, the HF approach cannot account for all many-body correlations. One class of correlations is included by Brueckner-Hartree-Fock (BHF) theory, which gives an improved definition of the one-body HF potential by replacing the interaction by a reaction matrix G. In this paper, we find that the difference between the G matrix and the similarity renormalization group evolved nucleon-nucleon potential VSRG can be well accounted for by a truncated series of contact terms. This is consistent with renormalization-group decoupling generating a series of counterterms as short-distance physics is integrated out. Here, the coefficients Cn of the power series expansion ΣCnqn for the counterterms are examined for two potentials at different renormalization-group resolutions and at a range of densities. The success of this expansion for G–VSRG means we can apply the density-matrix expansion at the HF level with low-momentum interactions and density-dependent zero-range interactions to model BHF correlations.

Research Organization:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Organization:
FRIB-CSC Fellowship; National Science Foundation; USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
SC0008511
OSTI ID:
1611067
Journal Information:
Physical Review C, Journal Name: Physical Review C Journal Issue: 6 Vol. 98; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (3)

Improvement of functionals in density functional theory by the inverse Kohn–Sham method and density functional perturbation theory journal November 2019
Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory journal August 2019
Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory text January 2019

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Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Nuclear density functional theory
Nuclear many-body theory
Nuclear matter
Nucleon-nucleon interactions
Physics