Three-dimensional mesh calculations for covariant density functional theory

TL;DR

This paper introduces a novel 3D mesh calculation method for covariant density functional theory that overcomes previous challenges, enabling accurate relativistic nuclear structure calculations.

Contribution

The authors develop a new approach combining Wilson fermion ideas and inverse Hamiltonian variational principle to perform 3D mesh calculations in relativistic density functional theory.

Findings

Successfully applied to $^{16}$O, $^{24}$Mg, and $^{28}$Si nuclei

Provides detailed formalism and numerical verification

Overcomes variational collapse and fermion doubling issues

Abstract

In contrast to the non-relativistic approaches, three-dimensional (3D) mesh calculations for the {\it relativistic} density functional theory have not been realized because of the challenges of variational collapse and fermion doubling. We overcome these difficulties by developing a novel method based on the ideas of Wilson fermion as well as the variational principle for the inverse Hamiltonian. We demonstrate the applicability of this method by applying it to $^{16}$O, $^{24}$Mg, and $^{28}$Si nuclei, providing detailed explanation on the formalism and verification of numerical implementation.