Effective theory for low-energy nuclear energy density functionals

TL;DR

This paper presents a new class of effective interactions for nuclear energy density functionals, based on regularized zero-range interactions, demonstrating rapid convergence and scale independence in low-energy nuclear phenomena.

Contribution

Introduction of a novel effective interaction framework using regularized zero-range potentials within energy-density-functional methods.

Findings

Rapid convergence of the expansion in numerical calculations

Results are independent of the regularization scale

Framework provides a consistent application of effective theory to nuclei

Abstract

We introduce a new class of effective interactions to be used within the energy-density-functional approaches. They are based on regularized zero-range interactions and constitute a consistent application of the effective-theory methodology to low-energy phenomena in nuclei. They allow for defining the order of expansion in terms of the order of derivatives acting on the finite-range potential. Numerical calculations show a rapid convergence of the expansion and independence of results of the regularization scale.