Abstract :
First, in the absence of pair correlation the properties of one-particle orbits of neutrons in nuclei close to the neutron drip line are briefly reviewed for both weakly bound neutrons and the neutrons in the continuum. The low-lying states in the continuum, which are close to the Fermi level, are of immediate importance for pair correlation and deformations of those nuclei. Then, the Hartree-Fock-Bogoliubov (HFB) equation in a simplified model is solved in coordinate space with the correct asymptotic boundary conditions, in order to provide quantitative characterization of both the role of weakly bound neutrons and the effect of the resonances in the continuum on pairing correlations.
