Deformed relativistic Hartree theory in coordinate space and in harmonic oscillator basis

The deformed relativistic Hartree theory (DRH) is solved both in coordinate space (DRH-c) and in harmonic oscillator basis (DRH-o). Results obtained f rom these two methods are compared in details. The DRH-c and DRH-o calculat ions give similar total binding energies, deformation, level structures and radii for nitrogen isotopes, while their descriptions on the density distr ibutions for drip-line nuclei are very different. The large spatial distrib utions of nucleon densities, which is crucial to understand a weakly bound system, can only be obtained by DRH-c calculations. This implies that the D RH theory should be solved in coordinate space in order to describe nuclei close to the drip line.