158 research outputs found
Partial Dynamical SU(3) Symmetry and the Nature of the Lowest K=0 Collective Excitation in Deformed Nuclei
We discuss the implications of partial dynamical SU(3) symmetry (PDS) for the
structure of the lowest K=0^{+} (K=0_2) collective excitation in deformed
nuclei. We consider an interacting boson model Hamiltonian whose ground and
gamma bands have good SU(3) symmetry while the K=0_2 band is mixed. It is shown
that the double-phonon components in the K=0_2 wave function arise from SU(3)
admixtures which, in turn, can be determined from absolute E2 rates connecting
the K=0_2 and ground bands. An explicit expression is derived for these
admixtures in terms of the ratio of K=0_2 and gamma bandhead energies. The
SU(3) PDS predictions are compared with existing data and with broken-SU(3)
calculations for ^{168}Er.Comment: 12 pages, 2 figure
Singular Character of Critical Points in Nuclei
The concept of critical points in nuclear phase transitional regions is
discussed from the standpoints of Q-invariants, simple observables and wave
function entropy. It is shown that these critical points very closely coincide
with the turning points of the discussed quantities, establishing the singular
character of these points in nuclear phase transition regions between
vibrational and rotational nuclei, with a finite number of particles.Comment: 12 pages, 7 figures, elsart, revised version, considerable changes
and addition
Quadrupole shape invariants in the interacting boson model
In terms of the Interacting Boson Model, shape invariants for the ground
state, formed by quadrupole moments up to sixth order, are studied in the
dynamical symmetry limits and, for the first time, over the whole structural
range of the IBM-1. The results are related to the effective deformation
parameters and their fluctuations in the geometrical model. New signatures that
can distinguish vibrator and gamma-soft rotor structures, and one that is
related to shape coexistence, are identified.Comment: 10 pages, ReVTeX, epsf, 2 Postscript figures include
The fermion dynamical symmetry model for the even--even and even--odd nuclei in the Xe--Ba region
The even--even and even--odd nuclei Xe-Xe and
Ba-Ba are shown to have a well-realized fermion dynamical symmetry. Their low-lying energy levels can be
described by a unified analytical expression with two (three) adjustable
parameters for even--odd (even--even) nuclei that is derived from the fermion
dynamical symmetry model. Analytical expressions are given for wavefunctions
and for transition rates that agree well with data. The distinction
between the FDSM and IBM limits is discussed. The experimentally
observed suppression of the the energy levels with increasing quantum
number can be explained as a perturbation of the pairing interaction on
the symmetry, which leads to an Pairing effect for nuclei.Comment: submitted to Phys. Rev. C, LaTeX, 31 pages, 8 figures with postscript
files available on request at [email protected]
Anomalous Behavior of 2+ Excitations around 132Sn
In certain neutron-rich Te isotopes, a decrease in the energy of the first
excited 2+ state is accompanied by a decrease in the E2 strength to that state
from the ground state, contradicting simple systematics and general intuition
about quadrupole collectivity. We use a separable quadrupole-plus-pairing
Hamiltonian and the quasiparticle random phase approximation to calculate
energies, B(E2,0+ -> 2+) strengths, and g factors for the lowest 2+ states near
132Sn (Z >= 50). We trace the anomalous behavior in the Te isotopes to a
reduced neutron pairing above the N = 82 magic gap.Comment: 1 figure added. to be published in Phys. Rev.
Description of superdeformed nuclei in the interacting boson model
The interacting boson model is extended to describe the spectroscopy of
superdeformed bands. Microscopic structure of the model in the second minimum
is discussed and superdeformed bosons are introduced as the new building
blocks. Solutions of a quadrupole Hamiltonian are implemented through the
expansion method. Effects of the quadrupole parameters on dynamic moment of
inertia and electric quadrupole transition rates are discussed and the results
are used in a description of superdeformed bands in the Hg-Pb and Gd-Dy
regions.Comment: 18 pages revtex, 9 figures available upon reques
Low-energy structure of the even-A 96−104 Ru isotopes via g-factor measurements
The transient-field-perturbed angular correlation technique was used with Coulomb excitation in inverse kinematics to perform a systematic measurement of the g factors of the first excited 21+ states in the stable even-A isotopes Ru96-104. The measurements have been made relative to one another under matched kinematic conditions and include a measurement of g(21+)=+0.47(3) in Ru96
Evolution of collectivity near mid-shell from excited-state lifetime measurements in rare earth nuclei
The B(E2) excitation strength of the first excited 2+ state in even-even nuclei should directly correlate with the size of the valence space and maximize at mid-shell. A previously found saturation of B(E2) strengths in well-deformed rotors at mid-shell is tested through high-precision measurements of the lifetimes of the lowest-lying 2+ states of the Hf168 and W174 rare earth isotopes. Measurements were performed using fast LaBr3 scintillation detectors. Combined with the recently remeasured B(E2;2+1→0+1) values for Hf and W isotopes the new data remove discrepancies observed in the differentials of B(E2) values for these isotope
High-resolution study of 0+ and 2+ excitations in 168Er with the (p,t) reaction
Excited states in the deformed nucleus 168Er have been studied with high-energy resolution, in the (p, t )
reaction, with the Munich Q3D spectrograph. A number of 25 excited 0+ states (four tentative) and 63 2+ states
have been assigned up to 4.0 MeV excitation energy. This unusually rich characterization of the 0+ and 2+ states
in a deformed nucleus, close to a complete level scheme, offers a unique opportunity to check, in detail, models
of nuclear structure that incorporate many excitation modes. A comparison of the experimental data is made with
two such models: the quasiparticle-phonon model (QPM), and the projected shell model (PSM). The PSM wave
functions appear to contain fewer correlations than those of the QPM and than required by the data
Theoretical description of deformed proton emitters: nonadiabatic coupled-channel method
The newly developed nonadiabatic method based on the coupled-channel
Schroedinger equation with Gamow states is used to study the phenomenon of
proton radioactivity. The new method, adopting the weak coupling regime of the
particle-plus-rotor model, allows for the inclusion of excitations in the
daughter nucleus. This can lead to rather different predictions for lifetimes
and branching ratios as compared to the standard adiabatic approximation
corresponding to the strong coupling scheme. Calculations are performed for
several experimentally seen, non-spherical nuclei beyond the proton dripline.
By comparing theory and experiment, we are able to characterize the angular
momentum content of the observed narrow resonance.Comment: 12 pages including 10 figure
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