179 research outputs found
Particle-Number Projection and the Density Functional Theory
In the framework of the Density Functional Theory for superconductors, we
study the restoration of the particle number symmetry by means of the
projection technique. Conceptual problems are outlined and numerical
difficulties are discussed. Both are related to the fact that neither the
many-body Hamiltonian nor the wave function of the system appear explicitly in
the Density Functional Theory. Similar obstacles are encountered in
self-consistent theories utilizing density-dependent effective interactions.Comment: 18 RevTex pages, 12 figures, submitted to Physical Review
Nuclear ground-state properties from mean-field calculations
The volume and surface effects in the nuclear local energy density and the
volume and surface components of the pairing interaction are discussed in the
context of the mean-field, Hartree-Fock-Bogoliubov description of atomic
nuclei. Predictions of properties of exotic nuclei close to the particle drip
lines are presented.Comment: Presented at the 3rd International Conference on Exotic Nuclei and
Atomic Masses, Hameenlinna, Finland, July 2-7, 2001, to be published in
European Physical Journa
The Density Matrix Renormalization Group in Nuclear Physics: A Status Report
We report on the current status of recent efforts to develop the Density
Matrix Renormalization Group method for use in large-scale nuclear shell-model
calculations.Comment: 6 pages, 8 figures, Talk presented at the XXVI Symposium
on Nuclear Physics, 6 pages, 8 figures, Talk presented at the XXVIth
Symposium on Nuclear Physics,6-9 January 2003, Taxco, Mexic
Skyrme-HFB deformed nuclear mass table
The Skyrme-Hartree-Fock-Bogoliubov code HFBTHO using the axial (2D)
Transformed Harmonic Oscillator basis is tested against the HFODD (3D Cartesian
HO basis) and HFBRAD (radial coordinate) codes. Results of large-scale
ground-state calculations are presented for the SLy4 and SkP interactions.Comment: 6 LaTeX pages, 3 figures, uses aipproc, presented at International
Conference NUCLEAR PHYSICS, LARGE and SMALL, Hotel Hacienda Cocoyoc, April
19-22, 2004, to be published in AIP Proceedings, see also
http://www.fuw.edu.pl/~dobaczew/thodri/thodri.htm
Variation after Particle-Number Projection for the HFB Method with the Skyrme Energy Density Functional
Variation after particle-number restoration is incorporated for the first
time into the Hartree-Fock-Bogoliubov framework employing the Skyrme energy
density functional with zero-range pairing. The resulting projected HFB
equations can be expressed in terms of the local gauge-angle-dependent
densities. Results of projected calculations are compared with those obtained
within the Lipkin-Nogami method in the standard version and with the
Lipkin-Nogami method followed by exact particle-number projection.Comment: 11 pages, 6 figure
Structure of Exotic Nuclei
The progress in the modeling of exotic nuclei with an extreme
neutron-to-proton ratio is discussed. Two topics are emphasized: (i) the quest
for the universal microscopic nuclear energy density functional and (ii) the
progress in the continuum shell model.Comment: 10 pages, 2 figures, presented by W. Nazarewicz at the International
Symposium on "A New Era of Nuclear Structure Physics", Kurokawa Village
(Niigata Pref.), Japan, Nov. 19-22, 200
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.
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