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

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

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

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

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

Natural Units For Nuclear Energy Density Functional Theory

Naive dimensional analysis based on chiral effective theory, when adapted to nuclear energy density functionals, prescribes natural units and a hierarchy of contributions that could be used to constrain fits of generalized functionals. By applying these units, a large sample of Skyrme parametrizations is examined for naturalness, which is signaled by dimensionless coupling constants of order one. The bulk of the parameters are found to be natural, with an underlying scale consistent with other determinations. Significant deviations from unity are associated with deficiencies in the corresponding terms of particular functionals or with an incomplete optimization procedure.Comment: 5 pages, 2 figures, accepted for publication in Phys. Rev.

Two-Body Density Matrix for Closed s-d Shell Nuclei

The two-body density matrix for $^{4}He,^{16}O$ and $^{40}Ca$ within the Low-order approximation of the Jastrow correlation method is considered. Closed analytical expressions for the two-body density matrix, the center of mass and relative local densities and momentum distributions are presented. The effects of the short-range correlations on the two-body nuclear characteristics are investigated.Comment: 13 pages(LaTeX), 4 figures (ps