855 research outputs found
Self-consistent methods in nuclear structure physics
We present a very brief description of the Hartree-Fock method in nuclear
structure physics, discuss the numerical methods used to solve the
self-consistent equations, and analyze the precision and convergence properties
of solutions. As an application we present results pertaining to quadrupole
moments and single-particle quadrupole polarizations in superdeformed nuclei
with A~60.Comment: 11 pages, 4 EPS figures included, uses sprocl.sty and epsf.sty.
Invited talk at the INNOCOM97 conference, Osaka, November 199
Superdeformation: Perspectives and prospects
We present a review of the mean-field approaches describing superdeformed
states, which are currently used and/or being developed. As an example, we
discuss in more details the properties of superdeformed A~60 nuclei, and
present results of calculations for the rotational band in the doubly magic
superdeformed nucleus 32S.Comment: 12 pages, 5 EPS figures included, uses aipproc2.sty and epsf.sty.
Invited talk at the NS98 conference, Gatlinburg, August 199
Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.0)
We describe the first version (v1.00) of the code HFBRAD which solves the
Skyrme-Hartree-Fock or Skyrme-Hartree-Fock-Bogolyubov equations in the
coordinate representation within the spherical symmetry. A realistic
representation of the quasiparticle wave functions on the space lattice allows
for performing calculations up to the particle drip lines. Zero-range
density-dependent interactions are used in the pairing channel. The pairing
energy is calculated by either using a cut-off energy in the quasiparticle
spectrum or the regularization scheme proposed by A. Bulgac and Y. Yu.Comment: 39 pages, 9 figure
Lipkin translational-symmetry restoration in the mean-field and energy-density-functional methods
Based on the 1960 idea of Lipkin, the minimization of energy of a
symmetry-restored mean-field state is equivalent to the minimization of a
corrected energy of a symmetry-broken state with the Peierls-Yoccoz mass. It is
interesting to note that the "unphysical" Peierls-Yoccoz mass, and not the true
mass, appears in the Lipkin projected energy. The Peierls-Yoccoz mass can be
easily calculated from the energy and overlap kernels, which allows for a
systematic, albeit approximate, restoration of translational symmetry within
the energy-density formalism. Analogous methods can also be implemented for all
other broken symmetries.Comment: 15 LaTeX pages, 8 eps figures, submitted to Journal of Physics
Hartree-Fock-Bogoliubov solution of the pairing Hamiltonian in finite nuclei
We present an overview of the Hartree-Fock-Bogoliubov (HFB) theory of
nucleonic superfluidity for finite nuclei. After introducing basic concepts
related to pairing correlations, we show how the correlated pairs are
incorporated into the HFB wave function. Thereafter, we present derivation and
structure of the HFB equations within the superfluid nuclear density functional
formalism and discuss several aspects of the theory, including the unitarity of
the Bogoliubov transformation in truncated single-particle and quasiparticle
spaces, form of the pairing functional, structure of the HFB continuum,
regularization and renormalization of pairing fields, and treatment of pairing
in systems with odd particle numbers.Comment: Contributed chapter in "50 Years of Nuclear BCS", edited by R. A.
Broglia and V. Zelevinsky, references correcte
An HFB scheme in natural orbitals
We present a formulation of the Hartree-Fock-Bogoliubov (HFB) equations which
solves the problem directly in the basis of natural orbitals. This provides a
very efficient scheme which is particularly suited for large scale calculations
on coordinate-space grids.Comment: 5 pages RevTeX, (Postscript-file also available at
http://www.th.physik.uni-frankfurt.de/~bender/nucl_struct_publications.html
or at ftp://th.physik.uni-frankfurt.de/pub/bender ), accepted for publication
in Z. Phys.
Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VII) HFODD (v2.49t): a new version of the program
We describe the new version (v2.49t) of the code HFODD which solves the
nuclear Skyrme Hartree-Fock (HF) or Skyrme Hartree-Fock-Bogolyubov (HFB)
problem by using the Cartesian deformed harmonic-oscillator basis. In the new
version, we have implemented the following physics features: (i) the isospin
mixing and projection, (ii) the finite temperature formalism for the HFB and
HF+BCS methods, (iii) the Lipkin translational energy correction method, (iv)
the calculation of the shell correction. A number of specific numerical methods
have also been implemented in order to deal with large-scale multi-constraint
calculations and hardware limitations: (i) the two-basis method for the HFB
method, (ii) the Augmented Lagrangian Method (ALM) for multi-constraint
calculations, (iii) the linear constraint method based on the approximation of
the RPA matrix for multi-constraint calculations, (iv) an interface with the
axial and parity-conserving Skyrme-HFB code HFBTHO, (v) the mixing of the HF or
HFB matrix elements instead of the HF fields. Special care has been paid to
using the code on massively parallel leadership class computers. For this
purpose, the following features are now available with this version: (i) the
Message Passing Interface (MPI) framework, (ii) scalable input data routines,
(iii) multi-threading via OpenMP pragmas, (iv) parallel diagonalization of the
HFB matrix in the simplex breaking case using the ScaLAPACK library. Finally,
several little significant errors of the previous published version were
corrected.Comment: Accepted for publication to Computer Physics Communications. Program
files re-submitted to Comp. Phys. Comm. Program Library after correction of
several minor bug
HFODD (v2.08k): User's Guide
We describe the input data and installation procedures of the code HFODD
(v2.08k). The present write-up contains complete and comprehensive information
that has originally been given in five independent publications. It is enhanced
by the subject index and indexes of variables, input-data keywords,
subroutines, and files that are used in this user guide.Comment: 100 LaTeX pages, 1 EPS figure, Table 7 corrected, on-line-only
publication, see also http://www.fuw.edu.pl/~dobaczew/hfodd/hfodd.htm
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