8 research outputs found
Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei
We present the first systematic calculations based on the angular-momentum
projection of cranked Slater determinants. We propose the Iy --> I scheme, by
which one projects the angular momentum I from the 1D cranked state constrained
to the average spin projection of =I. Calculations performed for the
rotational band in 46Ti show that the AMP Iy --> I scheme offers a natural
mechanism for correcting the cranking moment of inertia at low-spins and
shifting the terminating state up by ~2 MeV, in accordance with data. We also
apply this scheme to high-spin states near the band termination in A~44 nuclei,
and compare results thereof with experimental data, shell-model calculations,
and results of the approximate analytical symmetry-restoration method proposed
previously.Comment: 9 RevTeX pages, 8 EPS figures, submitted to Physical Review
Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VI) HFODD (v2.38j): a new version of the program
We describe the new version (v2.38j) of the code HFODD which solves the
nuclear Skyrme-Hartree-Fock or Skyrme-Hartree-Fock-Bogolyubov problem by using
the Cartesian deformed harmonic-oscillator basis. In the new version, we have
implemented: (i) projection on good angular momentum (for the Hartree-Fock
states), (ii) calculation of the GCM kernels, (iii) calculation of matrix
elements of the Yukawa interaction, (iv) the BCS solutions for state-dependent
pairing gaps, (v) the HFB solutions for broken simplex symmetry, (vi)
calculation of Bohr deformation parameters, (vii) constraints on the Schiff
moments and scalar multipole moments, (viii) the D2h transformations and
rotations of wave functions, (ix) quasiparticle blocking for the HFB solutions
in odd and odd-odd nuclei, (x) the Broyden method to accelerate the
convergence, (xi) the Lipkin-Nogami method to treat pairing correlations, (xii)
the exact Coulomb exchange term, (xiii) several utility options, and we have
corrected two insignificant errors.Comment: 45 LaTeX pages, 4 figures, submitted to Computer Physics
Communication
Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
We present a systematic analysis of the description of odd nuclei by the
Skyrme-Hartree-Fock approach augmented with pairing in BCS approximation and
blocking of the odd nucleon. Current and spin densities in the Skyrme
functional produce time-odd mean fields (TOMF) for odd nuclei. Their effect on
basic properties (binding energies, odd-even staggering, separation energies
and spectra) is investigated for the three Skyrme parameterizations SkI3, SLy6,
and SV-bas. About 1300 spherical and axially-deformed odd nuclei with 16 < Z <
92 are considered. The calculations demonstrate that the TOMF effect is
generally small, although not fully negligible. The influence of the Skyrme
parameterization and the consistency of the calculations are much more
important. With a proper choice of the parameterization, a good description of
binding energies and their differences is obtained, comparable to that for even
nuclei. The description of low-energy excitation spectra of odd nuclei is of
varying quality depending on the nucleus
Using high-spin data to constrain spin-orbit term and spin-fields of Skyrme forces
A method to study spin-fields and the spin-orbit potential within the local energy density approach is presented. The concept utilizes the intrinsic simplicity of terminating states in order to constrain certain parameters of the local nuclear energy functional. In particular, constraints on the isoscalar Landau parameter g0 and the strength of the spin-orbit potential are thoroughly discussed