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Figure 1:
Neutron singleparticle routhians in the magic SD
configuration of ^{32}S calculated within the HF theory
for the Skyrme SLy4
interaction. Lines denoting the four (parity,
signature) combinations are: solid (+,+i), dotdashed
(+,i), dotted (,+i), and dashed (,i).
Standard Nilsson labels are determined by finding the
dominating HO components of the HF wavefunctions at
low (left set) and high (right set) rotational frequencies.

Figure 2:
Same as Fig. 1, but for the proton
singleparticle routhians.

Figure:
Schematic diagram illustrating the singleparticle
neutron or proton orbitals (top), and the corresponding
manyparticle configurations (bottom), relevant for the
description of SD bands in ^{32}S. The top part gives the
Nilsson labels and signatures (r=), inside the
circles, of orbitals on both sides of the N=16 or
Z=16 Fermi level. Four labels on the lefthand side
represent the N_{0}=3 intruder states (negative parity), and four on
the righthand side represent positiveparity states. In the
bottom part, the full circles stand for occupied, the
open circles for empty states. Symbols 3^{n/p} give
numbers n or p of (neutron or proton) occupied
intruder states. Subscripts
indicate whether the
number of particles in the positiveparity r=+iorbitals is larger than that in r=i orbitals, or
vice versa.

Figure 4:
Same as Fig. 1, but for the HF solution with the
3^{1}_{}3^{1}_{} configuration.

Figure 5:
Same as Fig. 1, but for the HF solution with the
3^{1}_{+}3^{1}_{+} configuration.

Figure:
Energies of the HF bands in ^{32}S as functions of the angular momentum.
A rigidrotor reference energy of 0.05I(I+1)MeV has
been subtracted to increase clarity of the plot. Full
and open symbols represent the positive (=+1) and
negativeparity (=1) bands. Longshortdashed,
solid, dotted, and dashed lines correspond to neutron
(r_{n}) and proton (r_{p}) signatures being equal to,
respectively, (r_{n},r_{p})=(+,+), (+,), (,+),
and (,). Note that for even numbers of protons and
neutrons the possible total signatures are
and
;
the latter should not be confused with the
singlenucleon signatures taking the possible values of .

Figure 7:
Same as in Fig. 6, but for the yrast region
of energies.

Figure:
Proton quadrupole moments of the HF bands in ^{32}S,
shown in the form of points on the Q_{20}Q_{22} plane.
Since the variation of the multipole moments in function of
the rotational frequency turns out to be regular the corresponding points
form trajectories.
Arrows indicate directions of increasing
.
Note a large difference in scale between the Q_{20} and Q_{22}axes. The scales were adapted to the large differences between
Q_{20} and Q_{22}.
The straight lines corresponding to =
and to
=
have been drawn to facilitate reading the degree
of nonaxiality of the corresponding solutions.

Figure:
Dynamical moments
of the HF bands in ^{32}S
as functions of the
rotational frequency. The figure shows results for nearyrast
bands selected in Fig. 7.

Figure:
Relative alignments
of the HF bands in ^{32}S
as functions of the
rotational frequency, calculated with respect to the SD magic
band in ^{32}S.
The figure shows results for nearyrast
bands selected in Fig. 7.

Figure:
Energies of the HF bands in ^{33}S and ^{31}S as functions of the
angular momentum.
A rigidrotor reference energy of 0.05I(I+1)MeV has
been subtracted to increase clarity of the plot. Full
and open symbols represent the positive (=+1) and
negativeparity (=1) bands. Longshortdashed and
solid lines denote signatures r=+i and r=i,
respectively. Configurations 3^{1*} and 3^{3*} correspond to
the highest negativeparity particles promoted to the nexttolowest available
intruder states. For 3^{1*}, the first point corresponds to
=0.6MeV.

Figure 12:
Same as in Fig. 11, but for the ^{33}Cl and ^{31}P
nuclei.

Figure:
Same as in Fig. 11, but for the dynamical moments
.

Figure 14:
Same as in Fig. 13, but for the ^{33}Cl and ^{31}P
nuclei.

Figure:
Relative alignments
of the HF bands in ^{33}S, ^{31}S, ^{33}Cl, and ^{31}P
as functions of the
rotational frequency, calculated with respect to the SD magic
band in ^{32}S (see Fig. 11 for conventions used for
symbols and lines).
The Nilsson labels of particle (p) or hole (h) orbitals,
which make the difference between the given band and the magic band
in ^{32}S, are indicated on the righthand side.

Figure:
Same as in Fig. 15,
but for the relative proton quadrupole moments
.

Next: About this document ...
Up: Superdeformed bands in S
Previous: Bibliography
Jacek Dobaczewski
19990727