Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional

Abstract

We present a method based on mean-field states generated by triaxial quadrupole constraints which are projected on particle number and angular momentum and mixed by the generator coordinate method on the quadrupole moment. This method is equivalent to a seven-dimensional GCM calculation, mixing all five degrees of freedom of the quadrupole operator and the gauge angles for protons and neutrons. A first application to Mg24 permits to analyze in detail the effects of triaxial deformations and of K-mixing.

Discussion of difficulties with pathological energy kernels shortened, conclusions and outlook expanded. Accepted for publication in Phys. Rev. C

References in corpus (6)

• Particle-Number Projection and the Density Functional Theory
• Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
• Triaxiality and shape coexistence in Germanium isotopes
• Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei
• Tetrahedral correlations in ${}^{80}$Zr and ${}^{98}$Zr
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• On the origin of the anomalous behaviour of 2+ excitation energies in the neutron-rich Cd isotopes
• Effective theory for deformed nuclei
• Triaxial quadrupole deformation dynamics in sd-shell nuclei around 26Mg
• Technical aspects of the evaluation of the overlap of Hartree- Fock- Bogoliubov wave functions
• Quadrupole Collective Dynamics from Energy Density Functionals: Collective Hamiltonian and the Interacting Boson Model
• Shell-model Hamiltonian from self-consistent mean-field model: $N=Z$ nuclei
• Many-Body Approximations in the sd-Shell Sandbox
• Low-lying states in ${}^{30}$Mg: a beyond relativistic mean-field investigation