Nuclear energy density functionals from empirical ground-state densities

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 Hartree-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.

Automated summary

A model was developed to improve relativistic nuclear energy density functionals towards an exact but unknown Kohn-Sham Hartree-exchange-correlation functional, using empirical exact ground-state densities of finite systems. Testing and illustrative calculations were performed to reproduce the parameters and density dependence of a target functional from two different approximate functionals, based on exact ground-state densities of symmetric N = Z systems.