Density-dependent deformed relativistic Hartree-Bogoliubov theory in continuum

TL;DR

This paper develops a density-dependent deformed relativistic Hartree-Bogoliubov theory in continuum for axially deformed nuclei, emphasizing the treatment of density-dependent couplings and validating it with neutron-rich $^{38}$Mg.

Contribution

It introduces a new formalism for handling density-dependent meson-nucleon couplings in deformed relativistic Hartree-Bogoliubov theory, including continuum effects.

Findings

The spherical components of density-dependent couplings dominate in deformed nuclei.

Deformation effects are significant and must be included self-consistently.

The new code is verified against spherical calculations for $^{38}$Mg.

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.