1,600 research outputs found
Remarks on the use of projected densities in the density dependent part of Skyrme or Gogny functionals
I discuss the inadequacy of the "projected density" prescription to be used
in density dependent forces/functionals when calculations beyond mean field are
pursued. The case of calculations aimed at the symmetry restoration of mean
fields obtained with effective realistic forces of the Skyrme or Gogny type is
considered in detail. It is shown that at least for the restoration of spatial
symmetries like rotations, translations or parity the above prescription yields
catastrophic results for the energy that drive the intrinsic wave function to
configurations with infinite deformation, preventing thereby its use both in
projection after and before variation.Comment: To be published as a contribution to J. Phys G, Special Issue, Focus
Section: Open Problems in Nuclear Structur
Shape evolution in Yttrium and Niobium neutron-rich isotopes
The isotopic evolution of the ground-state nuclear shapes and the systematics
of one-quasiproton configurations are studied in neutron-rich odd-A Yttrium and
Niobium isotopes. We use a selfconsistent Hartree-Fock-Bogoliubov formalism
based on the Gogny energy density functional with two parametrizations, D1S and
D1M. The equal filling approximation is used to describe odd-A nuclei
preserving both axial and time reversal symmetries. Shape-transition signatures
are identified in the N=60 isotopes in both charge radii and spin-parities of
the ground states. These signatures are a common characteristic for nuclei in
the whole mass region. The nuclear deformation and shape coexistence inherent
to this mass region are shown to play a relevant role in the understanding of
the spectroscopic features of the ground and low-lying one-quasiproton states.
Finally, a global picture of the neutron-rich A=100 mass region from Krypton up
to Molybdenum isotopes is illustrated with the systematics of the nuclear
charge radii isotopic shifts.Comment: 21 pages, 14 figures. To be published in Phys. Rev.
Application of the gradient method to Hartree-Fock-Bogoliubov theory
A computer code is presented for solving the equations of
Hartree-Fock-Bogoliubov (HFB) theory by the gradient method, motivated by the
need for efficient and robust codes to calculate the configurations required by
extensions of HFB such as the generator coordinate method. The code is
organized with a separation between the parts that are specific to the details
of the Hamiltonian and the parts that are generic to the gradient method. This
permits total flexibility in choosing the symmetries to be imposed on the HFB
solutions. The code solves for both even and odd particle number ground states,
the choice determined by the input data stream. Application is made to the
nuclei in the -shell using the USDB shell-model Hamiltonian.Comment: 20 pages, 5 figures, 3 table
Systematics of one-quasiparticle configurations in neutron-rich Sr, Zr, and Mo odd isotopes with the Gogny energy density functional
The systematics of one-quasiparticle configurations in neutron-rich Sr, Zr,
and Mo odd isotopes is studied within the Hartree-Fock-Bogoliubov plus Equal
Filling Approximation method preserving both axial and time reversal
symmetries. Calculations based on the Gogny energy density functional with both
the standard D1S parametrization and the new D1M incarnation of this functional
are included in our analysis. The nuclear deformation and shape coexistence
inherent to this mass region are shown to play a relevant role in the
understanding of the spectroscopic features of the ground and low-lying
one-quasineutron states.Comment: 11 page
Intermittency at critical transitions and aging dynamics at edge of chaos
We recall that, at both the intermittency transitions and at the Feigenbaum
attractor in unimodal maps of non-linearity of order , the dynamics
rigorously obeys the Tsallis statistics. We account for the -indices and the
generalized Lyapunov coefficients that characterize the
universality classes of the pitchfork and tangent bifurcations. We identify the
Mori singularities in the Lyapunov spectrum at the edge of chaos with the
appearance of a special value for the entropic index . The physical area of
the Tsallis statistics is further probed by considering the dynamics near
criticality and glass formation in thermal systems. In both cases a close
connection is made with states in unimodal maps with vanishing Lyapunov
coefficients.Comment: Proceedings of: STATPHYS 2004 - 22nd IUPAP International Conference
on Statistical Physics, National Science Seminar Complex, Indian Institute of
Science, Bangalore, 4-9 July 2004. Pramana, in pres
Signatures of shape transition in odd-A neutron-rich Rubidium isotopes
The isotopic evolution of the ground-state nuclear shapes and the systematics
of one-quasiproton configurations are studied in odd-A Rubidium isotopes. We
use a selfconsistent Hartree-Fock-Bogoliubov formalism based on the Gogny
energy density functional with two parametrizations, D1S and D1M, and
implemented with the equal filling approximation. We find clear signatures of a
sharp shape transition at N=60 in both charge radii and spin-parity of the
ground states, which are robust, consistent to each other, and in agreement
with experiment. We point out that the combined analysis of these two
observables could be used to predict unambiguously new regions where shape
transitions might develop.Comment: 6 pages, 7 figures. To appear in Phys. Rev. C (Rapid Communications
Microscopic description of quadrupole-octupole coupling in Sm and Gd isotopes with the Gogny Energy Density Functional
The interplay between the collective dynamics of the quadrupole and octupole
deformation degree of freedom is discussed in a series of Sm and Gd isotopes
both at the mean field level and beyond, including parity symmetry restoration
and configuration mixing. Physical properties like negative parity excitation
energies, E1 and E3 transition probabilities are discussed and compared to
experimental data. Other relevant intrinsic quantities like dipole moments,
ground state quadrupole moments or correlation energies associated to symmetry
restoration and configuration mixing are discussed. For the considered
isotopes, the quadrupole-octupole coupling is found to be weak and most of the
properties of negative parity states can be described in terms of the octupole
degree of freedom alone.Comment: 31 pages, 11 figure
Octupole deformation properties of the Barcelona-Catania-Paris energy density functionals
We discuss the octupole deformation properties of the recently proposed
Barcelona-Catania-Paris (BCP) energy density functionals for two sets of
isotopes, those of radium and barium, where it is believed that octupole
deformation plays a role in the description of the ground state. The analysis
is carried out in the mean field framework (Hartree- Fock- Bogoliubov
approximation) by using the axially symmetric octupole moment as a constraint.
The main ingredients entering the octupole collective Hamiltonian are evaluated
and the lowest lying octupole eigenstates are obtained. In this way we restore,
in an approximate way, the parity symmetry spontaneously broken by the mean
field and also incorporate octupole fluctuations around the ground state
solution. For each isotope the energy of the lowest lying state and the
and transition probabilities have been computed and compared to
both the experimental data and the results obtained in the same framework with
the Gogny D1S interaction, which are used here as a well established benchmark.
Finally, the octupolarity of the configurations involved in the way down to
fission of Pu, which is strongly connected to the asymmetric fragment
mass distribution, is studied. We confirm with this thorough study the
suitability of the BCP functionals to describe octupole related phenomena.Comment: 13 pages, 13 figure
Accurate nuclear masses from a three parameter Kohn-Sham DFT approach (BCPM)
Given the promising features of the recently proposed Barcelona-Catania-Paris
(BCP) functional \cite{Baldo.08}, it is the purpose of this paper to still
improve on it. It is, for instance, shown that the number of open parameters
can be reduced from 4-5 to 2-3, i.e. by practically a factor of two. One
parameter is tightly fixed by a fine-tuning of the bulk, a second by the
surface energy. The third is the strength of the spin-orbit potential on which
the final result does not depend within the scatter of the values used in
Skyrme and Gogny like functionals. An energy rms value of 1.58 MeV is obtained
from a fit of these three parameters to the 579 measured masses reported in the
Audi and Waspra 2003 compilation. This rms value compares favorably with the
one obtained using other successful mean field theories. Charge radii are also
well reproduced when compared with experiment. The energies of some excited
states, mostly the isoscalar giant monopole resonances, are studied within this
model as well.Comment: 23 pages, 12 figure
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