4,095 research outputs found
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
Structural evolution in Pt isotopes with the Interacting Boson Model Hamiltonian derived from the Gogny Energy Density Functional
Spectroscopic calculations are carried out, for the description of the
shape/phase transition in Pt nuclei in terms of the Interacting Boson Model
(IBM) Hamiltonian derived from (constrained) Hartree-Fock-Bogoliubov (HFB)
calculations with the finite range and density dependent Gogny-D1S Energy
Density Functional. Assuming that the many-nucleon driven dynamics of nuclear
surface deformation can be simulated by effective bosonic degrees of freedom,
the Gogny-D1S potential energy surface (PES) with quadrupole degrees of freedom
is mapped onto the corresponding PES of the IBM. Using this mapping procedure,
the parameters of the IBM Hamiltonian, relevant to the low-lying quadrupole
collective states, are derived as functions of the number of valence nucleons.
Merits of both Gogny-HFB and IBM approaches are utilized so that the spectra
and the wave functions in the laboratory system are calculated precisely. The
experimental low-lying spectra of both ground-state and side-band levels are
well reproduced. From the systematics of the calculated spectra and the reduced
E2 transition probabilities (E2), the prolate-to-oblate shape/phase
transition is shown to take place quite smoothly as a function of neutron
number in the considered Pt isotopic chain, for which the -softness
plays an essential role. All these spectroscopic observables behave
consistently with the relevant PESs and the derived parameters of the IBM
Hamiltonian as functions of . Spectroscopic predictions are also made for
those nuclei which do not have enough experimental E2 data.Comment: 11 pages, 5 figure
Influence of the driving mechanism on the response of systems with athermal dynamics: the example of the random-field Ising model
We investigate the influence of the driving mechanism on the hysteretic
response of systems with athermal dynamics. In the framework of local-mean
field theory at finite temperature (but neglecting thermallly activated
processes), we compare the rate-independent hysteresis loops obtained in the
random field Ising model (RFIM) when controlling either the external magnetic
field or the extensive magnetization . Two distinct behaviors are
observed, depending on disorder strength. At large disorder, the -driven and
-driven protocols yield identical hysteresis loops in the thermodynamic
limit. At low disorder, when the -driven magnetization curve is
discontinuous (due to the presence of a macroscopic avalanche), the -driven
loop is re-entrant while the induced field exhibits strong intermittent
fluctuations and is only weakly self-averaging. The relevance of these results
to the experimental observations in ferromagnetic materials, shape memory
alloys, and other disordered systems is discussed.Comment: 11 pages, 11 figure
Effect of Tensor Correlations on Gamow-Teller States in 90Zr and 208Pb
The tensor terms of the Skyrme effective interaction are included in the
self-consistent Hartree-Fock plus Random Phase Approximation (HF+RPA) model.
The Gamow-Teller (GT) strength function of 90Zr and 208Pb are calculated with
and without the tensor terms. The main peaks are moved downwards by about 2 MeV
when including the tensor contribution. About 10% of the non-energy weighted
sum rule is shifted to the excitation energy region above 30 MeV by the RPA
tensor correlations. The contribution of the tensor terms to the energy
weighted sum rule is given analytically, and compared to the outcome of RPA.Comment: 13 pages, 2 figures,2 table
Effective interaction for pf-shell nuclei
An effective interaction is derived for use in the full pf basis. Starting
from a realistic G-matrix interaction, 195 two-body matrix elements and 4
single-particle energies are determined by fitting to 699 energy data in the
mass range 47 to 66. The derived interaction successfully describes various
structures of pf-shell nuclei. As examples, systematics of the energies of the
first 2+ states in the Ca, Ti, Cr, Fe, and Ni isotope chains and energy levels
of 56,57,58Ni are presented. The appearance of a new magic number 34 is seen.Comment: 5 pages, 4 figures, to be published in Phys. Rev.
Level spectroscopy of the square-lattice three-state Potts model with a ferromagnetic next-nearest-neighbor coupling
We study the square-lattice three-state Potts model with the ferromagnetic
next-nearest-neighbor coupling at finite temperature. Using the
level-spectroscopy method, we numerically analyze the excitation spectrum of
the transfer matrices and precisely determine the global phase diagram. Then we
find that, contrary to a previous result based on the finite-size scaling, the
massless region continues up to the decoupling point with criticality in the antiferromagnetic region. We also check the universal
relations among excitation levels to provide the reliability of our result.Comment: 4 pages, 2 figure
Systematically improvable optimized atomic basis sets for {\it ab inito} calculations
We propose a unique scheme to construct fully optimized atomic basis sets for
density-functional calculations. The shapes of the radial functions are
optimized by minimizing the {\it spillage} of the wave functions between the
atomic orbital calculations and the converged plane wave calculations for dimer
systems. The quality of the bases can be systematically improved by increasing
the size of the bases within the same framework. The scheme is easy to
implement and very flexible. We have done extensive tests of this scheme for
wide variety of systems. The results show that the obtained atomic basis sets
are very satisfactory for both accuracy and transferability
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