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

References in corpus (10)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Exotic modes of excitation in atomic nuclei far from stability
• Novel structure for magnetic rotation bands in 60Ni
• Spin-isospin resonances: A self-consistent covariant description
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes
• Nuclear halo structure and pseudo-spin symmetry
• Odd systems in deformed relativistic Hartree Bogoliubov theory in continuum
• Perturbative interpretation of relativistic symmetries in nuclei

Cited by in corpus (22)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• Predictive power for superheavy nuclear mass and possible stability beyond the neutron drip line in deformed relativistic Hartree-Bogoliubov theory in continuum
• Deformed relativistic Hartree-Bogoliubov theory in continuum with a point-coupling functional. II. Examples of odd Nd isotopes
• 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
• Rotating deformed halo nuclei and shape decoupling effects
• Collapse of the $N=28$ shell closure in the newly discovered ${}^{39}$Na and the development of deformed halos towards the neutron dripline
• Missed prediction of the neutron halo in ${}^{37}$Mg
• Neutron drip line in the deformed relativistic Hartree-Bogoliubov theory in continuum: Oxygen to Calcium
• Three-dimensional mesh calculations for covariant density functional theory
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Multipole expansion of densities in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Possible existence of bound nuclei beyond neutron drip lines driven by deformation
• 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
• Shell structure and shape transition in odd-$Z$ superheavy nuclei with proton numbers $Z=117,119$: insights from deformed relativistic Hartree-Bogoliubov in continuum
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Density-dependent relativistic mean-field model for ${\Xi }^{-}$ hypernuclei
• Ground state and fission properties of even-$A$ uranium isotopes from multidimensionally-constrained relativistic mean field model
• Pseudospin symmetry in nuclear structure and its supersymmetric representation