Following Sec. 3.1, one can derive
analytic expressions for the binding energy filters which should
be valid in the limiting cases of weak and strong pairing.
Particularly simple are the weak-pairing expressions. Namely,
Eqs. (21) yield:
(59) |
In the strong-pairing limit of the equidistant-level model,
the zero-order expressions for
and
are given by Eqs. (40)
and (41). The corresponding higher-order corrections can be
easily derived using Eqs. (27)-(36)
after noting that
(63) |
Figure 8 shows the accuracy of the second-order expressions for the binding energies in the equidistant-level model with =16 in the weak-pairing (left) and strong-pairing (right) limits. It is seen that, for large numbers of particles, the low- expansion is fairly accurate even for 0.4. Also the expansion seems to work very well even for large values of d/G. different vertical