Efficient method to perform quantum number projection and configuration mixing for most general mean-field states

Abstract

Combining several techniques, we propose an efficient and numerically reliable method to perform the quantum number projection and configuration mixing for most general mean-field states, i.e., the Hartree-Fock-Bogoliubov (HFB) type product states without symmetry restrictions. As for example of calculations, we show the results of the simultaneous parity, number and angular-momentum projection from HFB type states generated from the cranked Woods-Saxon mean-field with a very large basis that is composed of Nmax=20 spherical harmonic oscillator shells.

References in corpus (3)

• Particle-Number Projection and the Density Functional Theory
• The sign of the overlap of HFB wave functions
• Microscopic calculation of the wobbling excitations by using the Woods-Saxon potential as a nuclear mean-field

Cited by in corpus (15)

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• Microscopic study of tetrahedrally symmetric nuclei by an angular-momentum and parity projection method
• Tetrahedral symmetry in Zr nuclei: Calculations of low-energy excitations with Gogny interaction
• A new and practical formulation for overlaps of Bogoliubov vacua
• Rotational motion of triaxially deformed nuclei studied by microscopic angular-momentum-projection method II: Chiral doublet band
• Rotational motion of triaxially deformed nuclei studied by microscopic angular-momentum-projection method I: Nuclear wobbling motion
• Nuclear tetrahedral states and high-spin states studied using quantum number projection method
• Angular momentum projected multi-cranked configuration mixing for reliable calculation of high-spin rotational bands
• The suggested presence of the tetrahedral-symmetry in the ground-state configuration of the ${}^{96}$Zr nucleus
• Realistic description of the rotational bands in rare earth nuclei by angular-momentum-projected multi-cranked configuration-mixing method
• Infinitesimal cranking for triaxial angular-momentum-projected configuration-mixing calculation and its application to the gamma vibrational band
• Simultaneous analysis of matter radii, transition probabilities, and excitation energies of Mg isotopes by angular-momentum-projected configuration-mixing calculations
• Importance of multicranked configuration mixing for angular-momentum-projection calculations: Study of superdeformed rotational bands in ${}^{152}$Dy and ${}^{194}$Hg
• A New Evidence of Interplay Between Tetrahedral and Octahedral Symmetries and Symmetry Breaking: Exotic Rotational Bands in ${}^{152}$Sm
• First order Coriolis-coupling for rotational spectrum of a tetrahedrally-deformed core plus one-particle system