Self-consistent tilted-axis-cranking study of triaxial strongly deformed bands in ${}^{158}$Er at ultrahigh spin

Abstract

Stimulated by recent experimental discoveries, triaxial strongly deformed (TSD) states in ${}^{158}$Er at ultrahigh spins have been studied by means of the Skyrme-Hartree-Fock model and the tilted-axis-cranking method. Restricting the rotational axis to one of the principal axes -- as done in previous cranking calculations -- two well-defined TSD minima in the total Routhian surface are found for a given configuration: one with positive and another with negative triaxial deformation $\gamma$. By allowing the rotational axis to change direction, the higher-energy minimum is shown to be a saddle point. This resolves the long-standing question of the physical interpretation of the two triaxial minima at a very similar quadrupole shape obtained in the principal axis cranking approach. Several TSD configurations have been predicted, including a highly deformed band expected to cross lesser elongated TSD bands at the highest spins. Its transitional quadrupole moment $Q_t\approx 10.5$\,eb is close to the measured value of $\sim$11\,eb; hence, it is a candidate for the structure observed in experiment.

5 pages, 5 figures

References in corpus (5)

• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VII) HFODD (v2.49t): a new version of the program
• Evidence for particle-hole excitations in the triaxial strongly-deformed well of ^{163}Tm
• Quadrupole Moments of Collective Structures up to Spin $\sim$ $65\hslash$ in ${}^{157}$Er and ${}^{158}$Er: A Challenge for Understanding Triaxiality in Nuclei
• Additivity of effective quadrupole moments and angular momentum alignments in the A~130 nuclei
• Spin-orbit term and spin-fields: extension of Skyrme-force induced local energy density approach

Cited by in corpus (13)

• Linear response of homogeneous nuclear matter with energy density functionals
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
• On the Binding Energy and the Charge Symmetry Breaking in A<=16 Lambda-hypernuclei
• Theoretical study of triaxial shapes of neutron-rich Mo and Ru nuclei
• QRPA treatment of the transverse wobbling mode reconsidered
• Interpretation of the large-deformation high spin bands in selected A=158-168 nuclei
• Semiclassical unified description of wobbling motion in even-even and even-odd nuclei
• Nuclear chiral rotation induced by superfluidity
• Description of 158Er at ultrahigh spin in nuclear density functional theory
• Kerman-Onishi conditions in self-consistent tilted-axis-cranking mean-field calculations
• A cranked self-consistent mean-field description of the triaxially deformed rotational bands in 138Nd
• Fast rotation of nuclei with extreme isospin in the vicinity of neutron and proton drip lines
• Transport coefficients of dense nucleon matter at low temperature