Formulation of the Generator Coordinate Method with arbitrary bases
arXiv:2201.09611 · doi:10.1103/PhysRevC.105.L021307
Abstract
The existing formalism used to compute the operator overlaps necessary to carry out generator coordinate method calculations using a set of Hartree- Fock- Bogoliubov wave functions, is generalized to the case where each of the HFB states are expanded in different arbitrary bases spanning different sub-space of the Hilbert space.
arXiv comment5 pages, no figures
References in corpus (12)
- Microscopic Theory of Nuclear Fission: A Review
- Mean field and beyond description of nuclear structure with the Gogny force: A review
- The sign of the overlap of HFB wave functions
- Symmetry restoration in mean-field approaches
- Configuration mixing of mean-field wave-functions projected on angular momentum and particle number; application to 24Mg
- Symmetry restoration in Hartree-Fock-Bogoliubov based theories
- Evaluation of overlaps between arbitrary Fermionic quasiparticle vacua
- Spherical Hartree-Fock calculations with linear momentum projection before the variation.Part I: Energies, form factors, charge densities and mathematical sum rules
- Fission of Pu with symmetry-restored density functional theory
- Generalized Wick's theorem for multiquasiparticle overlaps as a limit of Gaudin's theorem
- Technical aspects of the evaluation of the overlap of Hartree- Fock- Bogoliubov wave functions
- Efficient computation of matrix elements of generic Slater determinants
Cited by in corpus (4)
- Operator overlaps in harmonic oscillator bases with different oscillator lengths
- Beyond-mean-field description of octupolarity in dysprosium isotopes with the Gogny-D1M energy density functional
- Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
- Quadrupole-hexadecapole coupling in the rare earth region with beyond mean field correlations