Three-dimensional mesh calculations for covariant density functional theory

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.

Comments: 18 pages, 16 figures