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.

18 pages, 16 figures

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Cited by in corpus (19)

• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods
• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• Dynamics of the linear-chain alpha cluster in microscopic time-dependent relativistic density functional theory
• Toroidal states in ${}^{28}$Si with covariant density functional theory in 3D lattice space
• Dynamics of rotation in chiral nuclei
• An efficient solution for Dirac equation in 3D lattice space with the conjugate gradient method
• Clusterization and deformation of multi-$\Lambda$ hypernuclei within relativistic mean-field model
• Time-dependent covariant density functional theory in 3D lattice space: benchmark calculation for 16O + 16O reaction
• Mixed phase transition from hypernuclear matter to deconfined quark matter fulfilling mass-radius constraints of neutron stars
• Single particle in a reflection-asymmetric potential
• Finite difference method for Dirac electrons in circular quantum dots
• Resolving the spurious-state problem in the Dirac equation with finite difference method
• Double quantum dots defined in bilayer graphene
• Hamiltonian flow equations for a Dirac particle in large scalar and vector potentials
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Persistent currents in topological and trivial confinement in silicene
• Exact-exchange relativistic density functional theory in three-dimensional coordinate space
• Nagaoka spin-valley ordering in silicene quantum dots