  The aim of this work is to develop the deformed relativistic
Hartree-Bogoliubov theory in continuum (DRHBc) theory based on the
point-coupling density functionals and extend it to provide a unified
description for all even-even nuclei in the nuclear chart by overcoming all
possible challenges. The nuclear superfluidity is considered via Bogoliubov
transformation. Densities and potentials are expanded in terms of Legendre
polynomials to include the axial deformation degrees of freedom. Sophisticated
relativistic Hartree-Bogoliubov equations in coordinate space are solved in the
DiracWoods-Saxon basis to consider the continuum effects. Numerical checks are
performed from light nuclei to heavy nuclei. The techniques to construct the
DRHBc mass table for even-even nuclei are explored. The DRHBc theory is
extended to study heavier nuclei beyond magnesium isotopes. Taking Nd isotopes
as examples, the experimental binding energies, two-neutron separation
energies, quadrupole deformations, and charge radii are reproduced rather well.
The deformation and continuum play essential roles in the description of
nuclear masses and prediction of drip-line nuclei. By examining the
single-particle levels in the canonical basis and their contributions to the
total density, the thickness of the neutron skin, the particles number in
continuum, and the Coulomb barrier, the exotic structures including the neutron
skin and the proton radioactivity are predicted.
