4,685 research outputs found
Fission barriers in covariant density functional theory: extrapolation to superheavy nuclei
Systematic calculations of fission barriers allowing for triaxial deformation
are performed for even-even superheavy nuclei with charge number
using three classes of covariant density functional models. The softness of
nuclei in the triaxial plane leads to an emergence of several competing fission
pathes in the region of the inner fission barrier in some of these nuclei. The
outer fission barriers are considerably affected by triaxiality and octupole
deformation. General trends of the evolution of the inner and the outer fission
barrier heights are discussed as a function of the particle numbers.Comment: 24 pages, 8 tables, 12 figure
Axially deformed relativistic Hartree Bogoliubov with separable pairing force
A separable form of pairing interaction in the channel has been
introduced and successfully applied in the description of both static and
dynamic properties of superfluid nuclei. By adjusting the parameters to
reproduce the pairing properties of the Gogny force in nuclear matter, this
separable pairing force is successful in depicting the pairing properties of
ground states and vibrational excitations of spherical nuclei on almost the
same footing as the original Gogny force. In this article, we extend these
investigations for Relativistic Hartree Bogoliubov theory in deformed nuclei
with axial symmetry (RHBZ) using the same separable pairing interaction. In
order to preserve translational invariance we construct one- and
two-dimensional Talmi-Moshinsky brackets for the cylindrical harmonic
oscillator basis. We show that the matrix elements of this force can then be
expanded in a series of separable terms. The convergence of this expansion is
investigated for various deformations. We observe a relatively fast
convergence. This allows for a considerable reduction in computing time as
compared to RHBZ-calculations with the full Gogny force in the pairing channel.
As an example we solve the RHBZ equations with this separable pairing force for
the ground states of the chain of Sm-isotopes. Good agreement with the
experimental data as well as with other theoretical results is achieved.Comment: 8 pages, 5 figures. accepted by Phys. Rev.
Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
The framework of relativistic energy density functionals is extended to
include correlations related to the restoration of broken symmetries and to
fluctuations of collective variables. The generator coordinate method is used
to perform configuration mixing of angular-momentum projected wave functions,
generated by constrained self-consistent relativistic mean-field calculations
for triaxial shapes. The effects of triaxial deformation and of -mixing is
illustrated in a study of spectroscopic properties of low-spin states in
Mg.Comment: 15 pages, 11 figures, 4 tables, accepted for publication in Phys.
Rev.
Electromagnetic transition strengths in soft deformed nuclei
Spectroscopic observables such as electromagnetic transitions strengths can
be related to the properties of the intrinsic mean-field wave function when the
latter are strongly deformed, but the standard rotational formulas break down
when the deformation decreases. Nevertheless there is a well-defined, non-zero,
spherical limit that can be evaluated in terms of overlaps of mean-field
intrinsic deformed wave functions. We examine the transition between the
spherical limit and strongly deformed one for a range of nuclei comparing the
two limiting formulas with exact projection results. We find a simple criterion
for the validity of the rotational formula depending on ,
the mean square fluctuation in the angular momentum of the intrinsic state. We
also propose an interpolation formula which describes the transition strengths
over the entire range of deformations, reducing to the two simple expressions
in the appropriate limits.Comment: 16 pages, 5 figures, supplemental material include
Entanglement generation resonances in XY chains
We examine the maximum entanglement reached by an initially fully aligned
state evolving in an XY Heisenberg spin chain placed in a uniform transverse
magnetic field. Both the global entanglement between one qubit and the rest of
the chain and the pairwise entanglement between adjacent qubits is analyzed. It
is shown that in both cases the maximum is not a monotonous decreasing function
of the aligning field, exhibiting instead a resonant behavior for low
anisotropies, with pronounced peaks (a total of [n/2] peaks in the global
entanglement for an -spin chain), whose width is proportional to the
anisotropy and whose height remains finite in the limit of small anisotropy. It
is also seen that the maximum pairwise entanglement is not a smooth function of
the field even in small finite chains, where it may exhibit narrow peaks above
strict plateaus. Explicit analytical results for small chains, as well as
general exact results for finite n-spin chains obtained through the
Jordan-Wigner mapping, are discussed
Covariant density functional theory: The role of the pion
We investigate the role of the pion in Covariant Density Functional Theory.
Starting from conventional Relativistic Mean Field (RMF) theory with a
non-linear coupling of the -meson and without exchange terms we add
pions with a pseudo-vector coupling to the nucleons in relativistic
Hartree-Fock approximation. In order to take into account the change of the
pion field in the nuclear medium the effective coupling constant of the pion is
treated as a free parameter. It is found that the inclusion of the pion to this
sort of density functionals does not destroy the overall description of the
bulk properties by RMF. On the other hand, the non-central contribution of the
pion (tensor coupling) does have effects on single particle energies and on
binding energies of certain nuclei.Comment: 12 pages, 5 figure
Dipole responses in Nd and Sm isotopes with shape transitions
Photoabsorption cross sections of Nd and Sm isotopes from spherical to
deformed even nuclei are systematically investigated by means of the
quasiparticle-random-phase approximation based on the Hartree-Fock-Bogoliubov
ground states (HFB+QRPA) using the Skyrme energy density functional. The
gradual onset of deformation in the ground states as increasing the neutron
number leads to characteristic features of the shape phase transition. The
calculation well reproduce the isotopic dependence of broadening and emergence
of a double-peak structure in the cross sections without any adjustable
parameter. We also find that the deformation plays a significant role for
low-energy dipole strengths. The strengths are fragmented and considerably
lowered in energy. The summed strength up to 10 MeV is enhanced by a
factor of five or more.Comment: 5 pages including 6 figure
Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
The framework of relativistic self-consistent mean-field models is extended
to include correlations related to the restoration of broken symmetries and to
fluctuations of collective variables. The generator coordinate method is used
to perform configuration mixing of angular-momentum and particle-number
projected relativistic wave functions. The geometry is restricted to axially
symmetric shapes, and the intrinsic wave functions are generated from the
solutions of the relativistic mean-field + Lipkin-Nogami BCS equations, with a
constraint on the mass quadrupole moment. The model employs a relativistic
point-coupling (contact) nucleon-nucleon effective interaction in the
particle-hole channel, and a density-independent -interaction in the
pairing channel. Illustrative calculations are performed for Mg,
S and Ar, and compared with results obtained employing the model
developed in the first part of this work, i.e. without particle-number
projection, as well as with the corresponding non-relativistic models based on
Skyrme and Gogny effective interactions.Comment: 37 pages, 10 figures, submitted to Physical Review
Beyond the relativistic mean-field approximation: configuration mixing of angular momentum projected wave functions
We report the first study of restoration of rotational symmetry and
fluctuations of the quadrupole deformation in the framework of relativistic
mean-field models. A model is developed which uses the generator coordinate
method to perform configuration mixing calculations of angular momentum
projected wave functions, calculated in a relativistic point-coupling model.
The geometry is restricted to axially symmetric shapes, and the intrinsic wave
functions are generated from the solutions of the constrained relativistic
mean-field + BCS equations in an axially deformed oscillator basis. A number of
illustrative calculations are performed for the nuclei 194Hg and 32Mg, in
comparison with results obtained in non-relativistic models based on Skyrme and
Gogny effective interactions.Comment: 32 pages, 14 figures, submitted to Phys. Rev.
Multipair approach to pairing in nuclei
The ground state of a general pairing Hamiltonian for a finite nuclear system
is constructed as a product of collective, real, distinct pairs. These are
determined sequentially via an iterative variational procedure that resorts to
diagonalizations of the Hamiltonian in restricted model spaces. Different
applications of the method are provided that include comparisons with exact and
projected BCS results. The quantities that are examined are correlation
energies, occupation numbers and pair transfer matrix elements. In a first
application within the picket-fence model, the method is seen to generate the
exact ground state for pairing strengths confined in a given range. Further
applications of the method concern pairing in spherically symmetric mean fields
and include simple exactly solvable models as well as some realistic
calculations for middle-shell Sn isotopes. In the latter applications, two
different ways of defining the pairs are examined: either with J=0 or with no
well-defined angular momentum. The second choice reveals to be more effective
leading, under some circumstances, to solutions that are basically exact.Comment: To appear in Physical Review
- …