Ab Initio Derivation of Model Energy Density Functionals

TL;DR

This paper introduces a straightforward method to derive energy density functionals directly from ab initio calculations on finite fermion systems, linking finite nuclei properties to model functional parameters.

Contribution

It presents a novel approach to derive coupling constants of energy density functionals directly from finite-system ab initio calculations, bypassing the need for infinite system properties.

Findings

Successfully linked properties of finite nuclei to Skyrme functional parameters.

Demonstrated the method using the nuclear Gogny and Skyrme functionals.

Quantified the effectiveness of different EDFs in reproducing ab initio results.

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.