PHYSICAL REVIEW C 73, 034312 (2006)
Evidence for possible shape transitions in neutron-rich Ru isotopes: Spectroscopy of
109,110,111,112
Ru
C. Y. Wu
Lawrence Livermore National Laboratory, Livermore, 94551 California, USA
H. Hua, D. Cline, A. B. Hayes, R. Teng, and D. Riley
Nuclear Structure Research Laboratory, Department of Physics, University of Rochester, Rochester, New York, 14627, USA
R. M. Clark, P. Fallon, A. Goergen, A. O. Macchiavelli, and K. Vetter
Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
(Received 22 July 2005; published 17 March 2006)
The spectroscopy of neutron-rich
109,110,111,112
Ru nuclei was studied by measuring the prompt γ rays that
originate from fission fragments, produced by the
238
U(α, f ) fusion-fission reaction, in coincidence with the
detection of both fragments. For
109,111
Ru, both the negative-parity (h
11/2
orbitals) and K = 5/2 positive-parity
(mainly g
7/2
and d
5/2
orbitals) bands were extended to substantially higher spin and excitation energy than known
previously. The ground-state and γ -vibrational bands of
110,112
Ru also were extended to higher spin, allowing
observation of the second band crossing at the rotational frequency of ≈450 keV in
112
Ru, which is ≈50 keV
above the first band crossing. At a similar rotational frequency, the first band crossing for the h
11/2
band in
111
Ru
was observed, which is absent in
109
Ru. These band crossings most likely are caused by the alignment of the g
9/2
proton pair. This early onset of the band crossing for the aligned πg
9/2
orbitals may be evidence of a triaxial shape
transition from prolate to oblate occurring in
111
Ru. The data together with a comparison of cranked shell-model
predictions are presented.
DOI: 10.1103/PhysRevC.73.034312 PACS number(s): 23.20.Lv, 25.70.Jj, 27.60.+j
I. INTRODUCTION
For neutron-rich A 100 nuclei, the nuclear shape changes
rapidly as the valence nucleons fill the g
9/2
proton and h
11/2
neutron orbitals, which is manifest by such phenomena as the
sudden onset of quadrupole deformation in Sr-Zr isotopes, the
development of triaxial degrees of freedom in Mo-Ru isotopes,
and the predicted transition of a triaxial shape from prolate to
oblate in Ru-Pd isotopes. The ramifications on the nuclear
structure because of various shapes make these neutron-rich
nuclei an ideal testing ground for various theoretical models
[1–3]. For instance, the exact location where shape transitions
occur is very sensitive to the model assumptions. A prolate-to-
oblate shape transition for Pd isotopes is predicted to happen at
111
Pd by the finite-range droplet model [1] and at
112
Pd by the
relativistic mean-field theory [3]. Both calculations were made
for nuclei across the period table but the latter was applied only
to even-even nuclei. Calculations using the Nilsson-Strutinsky
method with the cranked Woods-Saxon average potential
and a monopole pairing residual interaction [2], which were
applied to even-even neutron-rich A ≈ 100 nuclei, predict
the transition occurring at
116
Pd. Experimental verification
of this shape transition has important implications on our
understanding of the residual interactions in neutron-rich
nuclei. In this article, we discuss the experimental evidence
for a prolate-to-oblate shape transition in neutron-rich Ru
isotopes resulting from the study of the γ -ray spectroscopy
of fission fragments. The preliminary results of this shape
transition in Ru-Pd isotopes have been presented in our earlier
publications [4,5].
To distinguish a prolate from an oblate quadrupole defor-
mation, one needs to measure the sign of the static quadrupole
moment for the state of interest. Typically, this can be
accomplished using the Coulomb excitation technique. For
example, a prolate-to-oblate shape transition was identified
in
192
Os-
194
Pt isotones by measuring both the magnitude and
sign of static quadrupole moments for their first 2
+
states using
Coulomb excitation [6–8]. This shape transition was predicted
by Kumar and Baranger from solving Bohr’s Hamiltonian
using the pairing-plus-quadrupole model [9–11]. However,
this experimental technique is difficult to apply for nuclei
away from the valley of β stability such as neutron-rich Ru-Pd
isotopes. An alternative approach is to recognize processes
that may yield a distinct signature to differentiate between
two shapes. In this work, we explore one such opportunity to
address possible evidence of a triaxial shape transition from
prolate to oblate in neutron-rich Ru isotopes by studying the
band-crossing phenomenon, which is sensitive to the interplay
between the single-particle and shape degrees of freedom.
II. EXPERIMENT
The neutron-rich Ru isotopes were produced as fission
fragments by the
238
U(α, f ) fusion-fission reaction. The
experiment was carried out at the 88-inch cyclotron facility of
the Lawrence Berkeley National Laboratory by bombarding a
≈300 µg/cm
2 238
U target on a ≈30 µg/cm
2
carbon backing
with an α beam at E
lab
= 30 MeV. Fission fragments were
detected by the Rochester 4π , highly segmented heavy-ion
detector array, CHICO [12,13], in coincidence with the
detection of deexcitation γ rays using Gammasphere. This
particle detector has a geometric coverage for scattering angles
from 12
◦
to 85
◦
and 95
◦
to 168
◦
relative to the beam axis
0556-2813/2006/73(3)/034312(10)/$23.00 034312-1 ©2006 The American Physical Society