Ab Initio Derivation of Model Energy Density Functionals

Abstract

I propose a simple and manageable method that allows for deriving coupling constants of model energy density functionals (EDFs) directly from ab initio calculations performed for finite fermion systems. A proof-of-principle application allows for linking properties of finite nuclei, determined by using the nuclear nonlocal Gogny functional, to the coupling constants of the quasilocal Skyrme functional. The method does not rely on properties of infinite fermion systems but on the ab initio calculations in finite systems. It also allows for quantifying merits of different model EDFs in describing the ab initio results.

5 pages, 1 figure, 2 tables, submitted version

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Cited by in corpus (26)

• Combined theoretical analysis of the parity-violating asymmetry for ${}^{48}$Ca and ${}^{208}Pb$
• Low-Energy Heavy-Ion Reactions and the Skyrme Effective Interaction
• What is ab initio in nuclear theory?
• Optimizing the relativistic energy density functional with nuclear ground state and collective excitation properties
• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations
• Constraining the surface properties of effective Skyrme interactions
• Effective density functionals beyond mean field
• From homogeneous matter to finite nuclei: Role of the effective mass
• No-core configuration-interaction model for the isospin- and angular-momentum-projected states
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Nonlocal energy density functionals for pairing and beyond-mean-field calculations
• Sloppy nuclear energy density functionals: effective model reduction
• Emergence of clusters: Halos, Efimov states, and experimental signals
• Formation of Selfbound States in a One-Dimensional Nuclear Model -- A Renormalization Group based Density Functional Study
• Nuclear energy density functionals grounded in ab initio calculations
• Model nuclear energy density functionals derived from ab initio calculations
• Toward ab initio charge symmetry breaking in nuclear energy density functionals
• A first step in the nuclear inverse Kohn-Sham problem: from densities to potentials
• From the liquid drop model to lattice QCD
• Global analysis of Skyrme forces with higher-order density dependence
• A combined mean-field and three-body model tested on the ${}^{26}$O-nucleus
• Spin-orbit coupling rule in bound fermions systems
• The MC-QTAIM: A framework for extending the atoms in molecules analysis beyond purely electronic systems
• 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