Density-dependent deformed relativistic Hartree-Bogoliubov theory in continuum

Abstract

The deformed relativistic Hartree-Bogoliubov theory in continuum with the density-dependent meson-nucleon couplings is developed. The formulism is briefly presented with the emphasis on handling the density-dependent couplings, meson fields, and potentials in axially deformed system with partial wave method. Taking the neutron-rich nucleus ${}^{38}$Mg as an example, the newly developed code is verified by the spherical relativistic continuum Hartree-Bogoliubov calculations, where only the spherical components of the densities are considered. When the deformation is included self-consistently, it is shown that the spherical components of density-dependent coupling strengths are dominant, while the contributions from low-order deformed components are not negligible.

5 pages, 3 figures, and 1 table

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Cited by in corpus (10)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Crucial test for covariant density functional theory with new and accurate mass measurements from Sn to Pa
• Living on the edge of stability, the limits of the nuclear landscape
• Collapse of the $N=28$ shell closure in the newly discovered ${}^{39}$Na and the development of deformed halos towards the neutron dripline
• Three-dimensional mesh calculations for covariant density functional theory
• Multipole expansion of densities in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Continuum Skyrme-Hartree-Fock-Bogoliubov theory with Green's function method for odd-$A$ nuclei
• Pseudospin symmetry in nuclear structure and its supersymmetric representation