Nuclear energy density functionals from empirical ground-state densities
arXiv:2103.10096 · doi:10.1103/PhysRevC.103.044304
Abstract
A model is developed, based on the density functional perturbation theory and the inverse Kohn-Sham method, that can be used to improve relativistic nuclear energy density functionals towards an exact but unknown Kohn-Sham exchange-correlation functional. The improved functional is determined by empirical exact ground-state densities of finite systems. A test of the model and an illustrative calculation are performed, starting from two different approximate functionals, to reproduce the parameters and density dependence of a target functional, using exact ground-state densities of symmetric N=Z systems.
References in corpus (16)
- Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
- Time-dependent density-functional description of nuclear dynamics
- Finite amplitude method for the RPA solution
- Broyden's Method in Nuclear Structure Calculations
- Numerical Methods for the Inverse Problem of Density Functional Theory
- Implementation of the finite amplitude method for the relativistic quasiparticle random-phase approximation
- Feasibility of the finite amplitude method in covariant density functional theory
- Turning the nuclear energy density functional method into a proper effective field theory: reflections
- Universal nature of different methods of obtaining the exact Kohn-Sham exchange-correlation potential for a given density
- Sloppy nuclear energy density functionals: effective model reduction
- Time-dependent generator coordinate method study of fission: mass parameters
- Pairing vibrations in the interacting boson model based on density functional theory
- Building Kohn-Sham potentials for ground and excited states
- Improvement of functionals in density functional theory by the inverse Kohn--Sham method and density functional perturbation theory
- "Sloppy" nuclear energy density functionals (II): Finite nuclei
- A first step in the nuclear inverse Kohn-Sham problem: from densities to potentials
Cited by in corpus (4)
- Inverse Kohn-Sham Density Functional Theory: Progress and Challenges
- Toward ab initio charge symmetry breaking in nuclear energy density functionals
- The complete inverse Kohn-Sham problem: from the density to the energy
- Relativistic correction of the Coulomb interaction in the local density approximation for energies and radii in doubly-magic nuclei