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Figures
Figure 1:
Neutron OES filter
(6)
plotted as a function of neutron number N (Nodd).
Results for different isotones are marked by dots.
The average values of
are indicated by gray bars.
Experimental data were taken from Ref. [23].

Figure 2:
Same as in Fig. 1 except
for the proton OES filter
(6)
plotted as a function of Z (Zodd).

Figure 3:
Average values of neutron and proton OES filters
(6)
plotted as functions of the neutron and proton numbers
(both N and Z odd),
respectively.
Experimental masses were taken from Ref. [23].

Figure 4:
Threemass filters
(1)
(thick solid and dotted lines) calculated for the exact binding energies in
the deformedshellpluspairing model with
=16 for the case of weak (G/d=0.1),
intermediate (G/d=0.3), and strong pairing (G/d=0.5).
The singleparticle spectrum is uniform
(e_{k}=d k), except for the seventh level
which is shifted up in energy by d/4 (i.e,
e_{7}=7.25 d).
The equivalent gap parameters (56)
are shown by thin lines.

Figure 5:
Similar to Fig. 4
except for the energyspacing filters (7)
calculated for G/d=0.1, 0.2, 0.3,
and 0.4.
The nearlyequidistant singleparticle spacings
are marked by dots.

Figure 6:
Threemass filters
(1)
calculated for the exact (thick lines) and BCS (thin lines)
binding energies in
the deformedshellpluspairing model with
=16 and a nearlyequidistant spectrum.
Solid and dotted lines show results for even and odd values of N,
respectively.

Figure 7:
Similar to Fig. 6 except for
the energyspacing filters (7)
.
The singleparticle spacings
are marked by dots.

Figure 8:
Relative error (in percent)
of the secondorder expressions for the binding energies
of the equidistant level model with =16
in the weak (left, G/d1; Sec. 3.1.1) and strong
(right, d/G1; Sec. 3.1.2) pairing limits.
In the weak pairing limit, calculations were performed for N=4, 5,
14, and 15.
To realize the strongpairing situation, only large particle
numbers, N=14 and 15, were considered in the d/G1 case.

Figure 9:
Exact binding energies
(solid line)
of particles in the j=19/2 singlej shell
interacting with the pure QQ interaction (G=0).
Energies obtained within the HFB approximation are shown with the dashed line.

Figure 10:
Exact values of the threemass filter
within the j=19/2
PPQ calculated for the pairing strengths indicated at the righthand side.

Figure 11:
Exact values of the OES
(6) (a)
and of the energy spacing
(8) (b)
calculated within the j=19/2 PPQ model.

Figure 12:
Same as in Fig. 11 except for the HFB results.

Figure 13:
Same as in Fig. 11 except for the
HFB
order parameter (56) and the differences of
HFB canonical energies
(65).

Next: About this document ...
Up: Oddeven staggering of binding
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Jacek Dobaczewski
20000309