Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei

Abstract

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_y>=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.

9 RevTeX pages, 8 EPS figures, submitted to Physical Review C

References in corpus (4)

• Pairing renormalization and regularization within the local density approximation
• Angular-momentum projection of cranked symmetry-unrestricted Slater determinants
• Shell Model and Mean-Field Description of Band Termination
• Probing effective nucleon-nucleon interaction at band termination

Cited by in corpus (13)

• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• 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
• Symmetry conserving configuration mixing method with cranked states
• Microscopic calculations of isospin-breaking corrections to superallowed beta-decay
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• On the origin of the anomalous behaviour of 2+ excitation energies in the neutron-rich Cd isotopes
• New parameterization of Skyrme's interaction for regularized multi-reference energy density functional calculations
• Three-dimensional angular momentum projected relativistic point-coupling approach for the low-lying excited states in ${}^{24}$Mg
• Contradicting effective mass scalings within the Skyrme energy density functional method
• Isospin mixing in the vicinity of the N=Z line
• Isospin mixing of isospin-projected Slater determinants: formalism and preliminary applications
• Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal