Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory

TL;DR

This paper introduces a new method for constructing effective interactions in energy-density-functional theories, guided by effective field theory, enabling consistent treatment of nuclear matter and finite nuclei with improved adaptability.

Contribution

It develops an iterative, EFT-guided approach to enhance EDF models, allowing simultaneous and consistent analysis of nuclear matter and finite nuclei.

Findings

Effective interactions adapted to model space enlargement

Application to infinite nuclear matter and selected nuclei

Next-to-leading order calculations demonstrate feasibility

Abstract

We propose a novel idea to construct an effective interaction under energy-density-functional (EDF) theories which is adaptive to the enlargement of the model space. Guided by effective field theory principles, iterations of interactions as well as enlargements of the model space through particle-hole excitations are carried out for infinite nuclear matter and selected closed-shell nuclei ($^4$He, $^{16}$O, $^{40}$Ca, $^{56}$Ni and $^{100}$Sn) up to next-to-leading order. Our approach provides a new way for handling the nuclear matter and finite nuclei within the same scheme, with advantages from both EDF and ab initio approaches.