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Going away from the beta stability valley
towards particle drip lines, the
Fermi energy becomes very small and the nucleonic densities and fields
acquire large spatial extensions due to the coupling to the particle
continuum. In this region of weakly bound nuclei, the asymptotic
behavior of nuclear densities has an effect on nuclear properties.
Consequently, when performing calculations for dripline systems,
it is important
to have a firm grasp on physics at large distances.
The recently developed HFBTHO technique
based on the transformed harmonic oscillator (THO) method
[27,28,22] is very helpful in this respect:
it is fast, efficient, and easy to implement.
Figure 3:
Comparison of the neutron densities
(in logarithmic scale) calculated for the deformed nucleus
Zn using coordinatespace 2D calculations
(solid squares) with the configurational calculations based on
THO (open squares) and HO (open circles) basis [29].
Each point corresponds to
one Gaussintegration node in the plane, and the results
are plotted as functions of the distance from the origin,
.

Figure 3 shows the neutron density
of the deformed nucleus
Zn obtained
in two
configurational calculations based on expansions in the harmonic
oscillator (HO) and THO bases
[27,28,22] compared to fullfledged
2D coordinatespace calculations [30,29] with the box
boundary conditions.
Every point in the figure
corresponds to the value of the neutron density at a given
Gaussintegration node in the plane. Since the nucleus is
deformed, and there are always several nodes near a sphere of the
same radius
, there can be seen some
scatter of points corresponding to different densities in different
directions.
While the significant deviation from the correct
decaying behavior is seen in the HO results, the THO expansion
agrees very well with the deformed coordinatespace method.
Other promising techniques that can alternatively be used in this
context are the
Gaussianexpansion basis method [31] and the Berggren
expansion method [32].
Next: Regularization of the Contact
Up: LargeScale Microscopic Nuclear Mass
Previous: LargeScale Microscopic Nuclear Mass
Jacek Dobaczewski
20060117