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.

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

References in corpus (6)

• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Proton radioactivity described by covariant density functional theory with Similarity Renormalization Group method
• Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by similarity renormalization group
• Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by reconstituted Foldy-Wouthuysen transformation
• Hamiltonian flow equations for a Dirac particle in large scalar and vector potentials

Cited by in corpus (2)

• Dynamics of rotation in chiral nuclei
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