Figures

  

Figure 1: Total energies E, and proton and neutron rms radii, r_p and r_n, obtained in the HFB+SLy4 calculations for ²⁸O by using the HO and THO bases, as functions of the number of HO shells $N_{{\rm\scriptsize {sh}}}$. The exact results refer to those obtained from spherical coordinate-space calculations.

  

Figure 2: Neutron densities obtained in the HFB+SLy4 calculations for ²⁸O by using the HO (dashed line) and THO (solid line) bases. Neutron and proton densities denoted as ``exact'' (dots) have been obtained from spherical coordinate-space calculations in a box of $R_{{\rm\scriptsize {box}}}$=20fm.

  

Figure 3: Total energies E, proton and neutron rms radii, r_p and r_n, and deformations $\beta$ obtained in the HFB+SLy4 calculations for ⁴⁰Mg by using the HO and THO bases, as functions of the number of HO shells $N_{{\rm\scriptsize {sh}}}$. The horizontal lines denote the THO results obtained at $N_{{\rm\scriptsize {sh}}}$=20.

  

Figure 4: Neutron densities obtained in the HFB+SLy4 calculations for the deformed ground state of ⁴⁴Mg by using the HO (circles) and THO (squares) bases. Each point corresponds to one Gauss-integration node in the z-$\rho$ plane, and the results are plotted as functions of the distance from the origin, r=(z²+ $\rho^2)^{1/2}$.

  

Figure 5: Neutron Fermi energies $\lambda_{n}$, energies per particle E/A, deformations $\beta$, quadrupole moments Q, pairing gaps $\widetilde{\Delta}$, and pairing energies $E_{{\rm\scriptsize{pair}}}$ calculated for the Mg isotopes within the HFB+SLy4 method in the THO basis ( $N_{{\rm\scriptsize {sh}}}$=20), as functions of the mass number A. Apart from the upper panel, circles, squares, and diamonds pertain to proton, neutron, and total results, respectively. Closed symbols connected with lines denote values for the absolute minima in the deformation-energy curve (axial shapes are assumed), while open symbols pertain to secondary minima.

  

Figure 6: Upper panel: two-neutron separation energies S_2n (open symbols) compared to $-2\lambda_{n}$ (closed symbols), and lower panel: proton and neutron rms radii. Calculations for the Mg isotopes were performed within the HFB+SLy4 method in the THO basis for $N_{{\rm\scriptsize {sh}}}$=20.

  

Figure 7: Neutron Fermi energies $\lambda_{n}$, energies per particle E/A, pairing gaps $\widetilde{\Delta}$, pairing energies E, deformations $\beta$, quadrupole moments Q, and rms radii r calculated for the neutron-drip-line nuclei (indicated in the lower panel) within the HFB+SLy4 method in the THO basis, as functions of the mass number A. Circles, squares, and diamonds pertain to proton, neutron, and total results, respectively.