1,505 research outputs found
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 quadrupolar correlation energies
We calculate correlation energies associated with the quadrupolar shape
degrees of freedom with a view to improving the self-consistent mean-field
theory of nuclear binding energies. The Generator Coordinate Method is employed
using mean-field wave functions and the Skyrme SLy4 interaction. Systematic
results are presented for 605 even-even nuclei of known binding energies, going
from mass A=16 up to the heaviest known. The correlation energies range from
0.5 to 6.0 MeV in magnitude and are rather smooth except for large variations
at magic numbers and in light nuclei. Inclusion of these correlation energies
in the calculated binding energy is found to improve two deficiencies of the
Skyrme mean field theory. The pure mean field theory has an exaggerated shell
effect at neutron magic numbers and addition of the correlation energies reduce
it. The correlations also explain the phenomenon of mutually enhanced magicity,
an interaction between neutron and proton shell effects that is not explicable
in mean field theory.Comment: 4 pages with 3 embedded figure
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
The Spectral Line Shape of Exotic Nuclei
The quadrupole strength function of is calculated making use of the
SIII interaction, within the framework of continuum-RPA and taking into account
collisions among the nucleons (doorway coupling). The centroid of the giant
resonance is predicted at MeV, that is much below the energy
expected for both isoscalar and isovector quadrupole resonances in nuclei along
the stability valley. About half of this width arises from the coupling of the
resonance to the continuum and about half is due to doorway coupling. This
result is similar to that obtained in the study of giant resonances in light,
-stable nuclei, and shows the lack of basis for the expectation,
entertained until now in the literature, that continuum decay was the main
damping mechanism of giant resonances in halo nuclei.Comment: LaTeX file, 7 pages, figures not included but available if requested
at [email protected], accepted for publication in Phys. Rev.
Global study of quadrupole correlation effects
We discuss the systematics of ground-state quadrupole correlations of binding
energies and mean-square charge radii for all even-even nuclei, from O16 up to
the superheavies, for which data are available. To that aim we calculate their
correlated J=0 ground state by means of the angular-momentum and
particle-number projected generator coordinate method, using the axial mass
quadrupole moment as the generator coordinate and self-consistent mean-field
states only restricted by axial, parity, and time-reversal symmetries. The
calculation is performed within the framework of a non-relativistic
self-consistent mean-field model using the same non-relativistic Skyrme
interaction SLy4 and a density-dependent pairing force to generate the
mean-field configurations and mix them. (See the paper for the rest of the
abstract).Comment: 28 pages revtex, 29 eps figures (2 of which in color), 10 tables.
submitted to Phys. Rev.
Surface properties of nuclear pairing with the Gogny force in a simplified model
Surface properties of neutron-neutron (T=1) pairing in semi-infinite nuclear
matter in a hard wall potential are investigated in BCS approximation using the
Gogny force. Surface enhancement of the gap function, pairing tensor and
correlation energy density is put into evidence.Comment: 16 pages; 4 figures ; submitted to Phys. Lett.
Comparison of Viscosities from the Chapman-Enskog and Relaxation Time Methods
A quantitative comparison between the results of shear viscosities from the
Chapman-Enskog and relaxation time methods is performed for selected test cases
with specified elastic differential cross sections: (i) the non-relativistic,
relativistic and ultra-relativistic hard sphere gas with angle and energy
independent differential cross section, (ii) the Maxwell gas, (iii) chiral
pions and (iv) massive pions. Our quantitative results reveal that the extent
of agreement (or disagreement) depends very sensitively on the energy
dependence of the differential cross sections employed.Comment: Submitted to Cent. Eur. J.Phy
Hanbury-Brown--Twiss Analysis in a Solvable Model
The analysis of meson correlations by Hanbury-Brown--Twiss interferometry is
tested with a simple model of meson production by resonance decay. We derive
conditions which should be satisfied in order to relate the measured momentum
correlation to the classical source size. The Bose correlation effects are
apparent in both the ratio of meson pairs to singles and in the ratio of like
to unlike pairs. With our parameter values, we find that the single particle
distribution is too distorted by the correlation to allow a straightforward
analysis using pair correlation normalized by the singles rates. An analysis
comparing symmetrized to unsymmetrized pairs is more robust, but nonclassical
off-shell effects are important at realistic temperatures.Comment: 21 pages + 9 figures (tarred etc. using uufiles, submitted
separately), REVTeX 3.0, preprint number: DOE/ER/40561-112/INT93-00-3
Mean field and pairing properties in the crust of neutron stars
Properties of the matter in the inner crust of a neutron star are
investigated in a Hartree-Fock plus BCS approximation employing schematic
effective forces of the type of the Skyrme forces. Special attention is paid to
differences between a homogenous and inhomogeneous description of the matter
distribution. For that purpose self-consistent Hartree Fock calculations are
performed in a spherical Wigner-Seitz cell. The results are compared to
predictions of corresponding Thomas Fermi calculations. The influence of the
shell structure on the formation of pairing correlations in inhomogeneous
matter are discussed.Comment: 11 pages, 9 figure
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