Exact-exchange density functional theory for neutron drops

Abstract

We compute the ground-state properties of finite systems of neutrons in an external harmonic trap, interacting via the Minnesota potential, using the "exact-exchange" form of orbital-dependent density functional theory. We compare our results with Hartree-Fock calculations and find very close agreement. Within the context of the interaction studied, we conclude that this simple orbital-dependent functional brings conventional nuclear density functional theory to the level of Hartree-Fock in an ab initio fashion. Our work is a first step towards higher-order ab initio nuclear functionals based on realistic nucleon-nucleon interactions.

7 pages, 3 figures; replaced with published version

References in corpus (8)

• From low-momentum interactions to nuclear structure
• Simple iterative construction of the optimized effective potential for orbital functionals, including exact exchange
• Optimized Effective Potential made simple: Orbital functionals, orbital shifts, and the exact Kohn-Sham exchange potential
• Toward ab initio density functional theory for nuclei
• An improved density matrix expansion for spin-unsaturated nuclei
• Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations
• Density Matrix Expansion for Low-Momentum Interactions
• Non-empirical nuclear energy functionals, pairing gaps and odd-even mass differences

Cited by in corpus (7)

• P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
• Testing the density matrix expansion against ab initio calculations of trapped neutron drops
• Role of three-nucleon forces and many-body processes in nuclear pairing
• Energy-density functionals inspired by effective-field theories: Applications to neutron drops
• Density Functional Theory with Spatial-Symmetry Breaking and Configuration Mixing
• Accurate relativistic density functional for exchange energy of atomic nuclei
• Quantum Monte Carlo study of inhomogeneous neutron matter