Toward a bridge between relativistic and nonrelativistic density functional theories for nuclei

Abstract

The nonrelativistic reduction of the self-consistent covariant density functional theory is realized for the first time with the similarity renormalization group (SRG) method. The reduced nonrelativistic Hamiltonian and densities are calculated by solving the corresponding flow equations with a novel expansion in terms of the inverse of the Dirac effective mass. The efficiency and accuracy of this newly proposed framework have been demonstrated for several typical spherical nuclei. It is found that the exact solutions of the total energies, traces of vector and scalar densities, and the root-mean-square radii are reproduced quite well for all nuclei. This allows one to directly compare and bridge the relativistic and nonrelativistic nuclear energy density functional theories in the future.

arXiv comment12 pages, 4 figures. arXiv admin note: text overlap with arXiv:1910.13813

References in corpus (10)

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• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Chiral dynamics in soft triaxial nuclei
• Theory of nuclear collective vibrations
• Structural and decay properties of nuclei appearing in the $\alpha$-decay chains of ${}^{296,298,300,302,304}$120 within the relativistic mean-field formalism
• Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach
• Exact-exchange relativistic density functional theory in three-dimensional coordinate space
• Shape transitions and ground-state properties of tungsten isotopes in covariant density functional theory
• Mass Probe of Tetrahedral Symmetry in Atomic Nuclei