# Coulomb Energy Density Functionals for Nuclear Systems: Recent Studies of Coulomb Exchange and Correlation Functionals

## TL;DR

This paper explores the application of Coulomb exchange and correlation energy density functionals, originally developed for electron systems, to nuclear systems, highlighting the effectiveness of exchange functionals and limitations of correlation functionals.

## Contribution

It demonstrates that generalized gradient approximation exchange functionals can accurately approximate exact-Fock energies in nuclear systems with minimal adjustment.

## Key findings

- Exchange functionals agree with exact-Fock energies within a few dozen keV.
- Correlation functionals are not suitable for nuclear systems due to nuclear force effects.
- The study provides insights into adapting electron-based functionals for nuclear physics applications.

## Abstract

The Coulomb exchange and correlation energy density functionals for electron systems are applied to nuclear systems. It is found that the exchange functionals in the generalized gradient approximation provide agreements with the exact-Fock energy with one adjustable parameter within a few dozen $ \mathrm{keV} $ accuracy, whereas the correlation functionals are not directly applicable to nuclear systems due to the existence of the nuclear force.