Symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations for exotic shapes in nuclei from 64Ge to 84Mo

Abstract

By performing fully 3D symmetry-unrestricted Skyrme-Hartree-FockBogoliubov calculations, we discuss shape coexistence and possibility of exotic deformations simultaneously breaking the reflection and axial symmetries in proton-rich N = Z nuclei: 64 Ge, 68 Se, 72 Kr, 76 Sr, 80 Zr and 84 Mo. Results of calculation indicate that the oblate ground state of 68 Se is extremely soft against the Y 33 triangular deformation, and that the low-lying spherical minimum coexisting with the prolate ground state in 80 Zr is extremely soft against the Y 32 tetrahedral deformation.

Higher-rank discrete symmetries in the IBM I. Octahedral shapes: General Hamiltonian

“…Over the years this question has been studied from a theoretical [11,12,13] and an experimental [14,15] point of view. The former studies have been consistently carried out in a mean-field approach usually supplemented with pairing correlations.…”

New efficient method for performing Hartree-Fock-Bogoliubov calculations for weakly bound nuclei

“…Its implementation to systems with deformed equilibrium shapes is much more difficult, however. Different approaches have been developed to deal with this problem, such as the two-basis method [4,5,6], the canonicalbasis framework [7,8,9] and basis-spline techniques in coordinate-space calculations developed for axially symmetric nuclei [10,11]. These algorithms are precise, but time-consuming.…”

Fission barriers from multidimensionally-constrained covariant density functional theories

“…Although the axial quadrupole (β 20 ) shape are prevalent in nuclear physics study, there have become more and more theoretical and experimental investigations on the β 22 deformation, which manifests itself in the wobbling motion [2,6], chiral doublet bands [7][8][9][10][11] and the termination of rotational bands [12], and the β 30 deformation, which is characterized by parity doublet bands [13][14][15]. The impact of the non-axial octupole (β 32 ) deformation on the low-lying spectra have been also a hot topic in last decades [16][17][18][19][20][21][22][23][24][25].…”

“…The impact of the non-axial octupole (β 32 ) deformation on the low-lying spectra have been also a hot topic in last decades [16][17][18][19][20][21][22][23][24][25].…”

“…In MDC-CDFTs, the nuclear shape is assumed to be invariant under the reversion of x and y axes, i.e., the intrinsic symmetry group is V 4 and all shape degrees of freedom β λµ with even µ (β 20 , β 22 , β 30 , β 32 , β 40 , · · · ) are included self-consistently. The MDC-CDFTs consist of two types of models: the multidimensionally-constrained relativistic mean field (MDC-RMF) model and the multidimensionallyconstrained relativistic Hartree-Bogoliubov (MDC-RHB) model.…”