Symmetry-Unrestricted Skyrme-Hartree-Fock-Bogoliubov Calculations for Exotic Shapes in N=Z Nuclei from 64Ge to 84Mo

Abstract

By performing fully 3D symmetry-unrestricted Skyrme-Hartree-Fock-Bogoliubov calculations, we discuss shape coexistence and possibility of exotic deformations simultaneously breaking the reflection and axial symmetries in proton-rich N=Z nuclei: 64Ge, 68Se, 72Kr, 76Sr, 80Zr and 84Mo. Results of calculation indicate that the oblate ground state of 68Se is extremely soft against the Y33 triangular deformation, and that the low-lying spherical minimum coexisting with the prolate ground state in 80Zr may be unstable against the Y32 tetrahedral deformation.

32 pages, 14 ps-figures

References in corpus (4)

• Nuclear isotope shifts within the local energy-density functional approach
• Nuclear Skins and Halos in the Mean-Field Theory
• Odd-even staggering of binding energies as a consequence of pairing and mean-field effects
• Rotational properties of ${}^{252,253,254}$No. Influence of pairing correlations

Cited by in corpus (68)

• Axially Deformed Solution of the Skyrme-Hartree-Fock-Bogolyubov Equations using The Transformed Harmonic Oscillator Basis. The program HFBTHO (v1.66p)
• Global systematics of octupole excitations in even-even nuclei
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Di-neutron correlation and soft dipole excitation in medium mass neutron-rich nuclei near drip-line
• Nuclear Tetrahedral Symmetry: Possibly Present Throughout the Periodic Table
• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Shape coexistence in neutron-deficient Kr isotopes: Constraints on the single-particle spectrum of self-consistent mean-field models from collective excitations
• Microscopic phase-space exploration modeling of ${}^{258}$Fm spontaneous fission
• Nilsson-SU3 selfconsistency in heavy N=Z nuclei
• Pairing effects on the collectivity of quadrupole states around 32Mg
• Microscopic description of large-amplitude shape-mixing dynamics with inertial functions derived in local quasiparticle random-phase approximation
• Nonaxial-octupole Y_{32} correlations in N = 150 isotones from multidimensional constrained covariant density functional theories
• Recent Progress in Two-proton Radioactivity
• The puzzling two-proton decay of ${}^{67}$Kr
• Coordinate Space HFB Calculations for the Zirconium Isotope Chain up to the Two-Neutron Dripline
• Microscopic description of oblate-prolate shape mixing in proton-rich Se isotopes
• Tetrahedral shapes of neutron-rich Zr isotopes from multidimensionally-constrained relativistic Hartree-Bogoliubov model
• Bare vs effective pairing forces. A microscopic finite-range interaction for HFB calculations in coordinate space
• Tetrahedral Symmetry in Ground- and Low-Lying States of Exotic A ~ 110 Nuclei
• Cranked Skyrme-Hartree-Fock calculation for superdeformed and hyperdeformed rotational bands in N=Z nuclei from 32S to 48Cr
• Optimal pair density functional for description of nuclei with large neutron excess
• Shape mixing dynamics in the low-lying states of proton-rich Kr isotopes
• Stellar weak decay rates in neutron-deficient medium-mass nuclei
• Quadrupole resonances in unstable oxygen isotopes in time-dependent density-matrix formalism
• Triaxiality and shape coexistence in Germanium isotopes
• Octupole deformation properties of actinide isotopes within a mean field approach
• Gamow-Hartree-Fock-Bogoliubov Method: Representation of quasiparticles with Berggren sets of wave functions
• Shape transition and oblate-prolate coexistence in N=Z fpg-shell nuclei
• Three-dimensional mesh calculations for covariant density functional theory
• Open problems in microscopic theory of large-amplitude collective motion
• Microscopic study of tetrahedrally symmetric nuclei by an angular-momentum and parity projection method
• Tetrahedral correlations in ${}^{80}$Zr and ${}^{98}$Zr
• Hartree-Fock-Bogoliubov Calculations in Coordinate Space: Neutron-Rich Sulfur, Zirconium, Cerium, and Samarium Isotopes
• Hartree-Fock-Bogoliubov calculation of ground state properties of even-even and odd Mo and Ru isotopes
• Canonical-basis solution of the Hartree-Fock-Bogoliubov equation on three-dimensional Cartesian mesh
• Spectroscopic Criteria for Identification of Nuclear Tetrahedral and Octahedral Symmetries: Illustration on a Rare Earth Nucleus
• Low-lying dipole resonance in neutron-rich Ne isotopes
• Tetrahedral symmetry in Zr nuclei: Calculations of low-energy excitations with Gogny interaction
• Octupole deformations in actinides at high spins within the cranking Skyrme-Hartree-Fock approach
• Pairing and continuum effects on low-frequency quadrupole vibrations in deformed Mg isotopes close to the neutron drip line
• A New Efficient Method of Hartree-Fock-Bogoliubov Calculation for Weakly Bound Nuclei
• Effect of tetrahedral shapes in heavy and superheavy nuclei
• Two-body dissipation effect in nuclear fusion reactions
• Deformation around neutron-rich Cr isotopes in axially symmetric Skyrme-Hatree-Fock-Bogoliubov method
• Hartree-Fock-Bogolyubov calculations for nuclei with tetrahedral deformation
• Shape coexistence and triaxiality in nuclei near 80Zr
• Coulombic effect and renormalization in nuclear pairing
• $\beta$-decay half-lives and nuclear structure of exotic proton-rich waiting point nuclei under $rp$-process conditions
• Ground state properties of even-even and odd Nd,Ce and Sm isotopes in Hartree-Fock-Bogoliubov method
• Particle alignments and shape change in ${}^{66}$Ge and ${}^{68}$Ge
• The suggested presence of the tetrahedral-symmetry in the ground-state configuration of the ${}^{96}$Zr nucleus
• Shape evolutions of ${}^{72,74}$Kr with temperature in the covariant density functional theory
• Multi-dimensional constraint relativistic mean field model and applications in actinide and transfermium nuclei
• Extended RPA with ground-state correlations
• Superdeformed bands in neutron-rich Sulfur isotopes suggested by cranked Skyrme-Hartree-Fock calculations
• Shape coexistence and evolution in neutron-deficient krypton isotopes
• Eigenstates of the time-dependent density-matrix theory
• Higher-rank discrete symmetries in the IBM. I Octahedral shapes: general Hamiltonian
• Shell-model Hamiltonian from self-consistent mean-field model: $N=Z$ nuclei
• Enlarged deformation region in neutron-rich Zr isotopes by the second intruder orbit
• A New Evidence of Interplay Between Tetrahedral and Octahedral Symmetries and Symmetry Breaking: Exotic Rotational Bands in ${}^{152}$Sm
• Precision of finite-difference representation in 3D coordinate-space Hartree-Fock-Bogoliubov calculations
• First order Coriolis-coupling for rotational spectrum of a tetrahedrally-deformed core plus one-particle system
• Collective Path Connecting the Oblate and Prolate Local Minima in 68Se
• Quantum fluctuations and stability of tetrahedral deformations in atomic nuclei
• Tetrahedral shape and Lambda impurity effect in ${}^{80}$Zr with a multidimensionally constrained relativistic Hartree-Bogoliubov model
• Periodic orbit bifurcations and local symmetry restorations in exotic-shape nuclear mean fields
• Mass Probe of Tetrahedral Symmetry in Atomic Nuclei