We expect our Spline techniques to be superior to the traditional harmonic oscillator basis expansion method in cases of very strong nuclear deformation. Apparently, for we correctly reproduce the spherical shell structure of magic nuclei. As approaches large positive values our s.p. The largest quadrupole deformation corresponds physically to a symmetric fission configuration.
Solid lines indicate positive parity and broken lines negative parity levels.
In a second test calculation, we have investigated the properties of a nucleus near the neutron drip line. The halo effect was first observed in Li, which consists of three protons and six neutrons in a central core and two planetary neutrons which comprise the halo. This is a special case of the HFB equation with a constant pairing matrix element. The result is shown in Table 1. Note that we obtain the same level of accuracy despite the 25 times larger lattice spacing fm.