Triaxial rigidity of ${}^{166}$Er and its Bohr-model realization

Abstract

The triaxial nature of low-lying rotational bands of ${}^{166}$Er is presented from the viewpoint of the Bohr Hamiltonian and from that of many-fermion calculations by the Monte Carlo shell model and the constrained Hartree-Fock method with projections. A recently proposed novel picture of those bands suggests definite triaxial shapes of those bands, in contrast to the traditional view with the prolate ground-state band and the $\gamma$-vibrational excited band. Excitation level energies and E2 transitions can be described well by the Bohr Hamiltonian and by the many-fermion approaches, where rather rigid triaxiality plays vital roles, although certain fluctuations occur in shell-model wave functions. Based on the potential energy surfaces with the projections, we show how the triaxial rigidity appears and what the softness of the triaxiality implies. The excitation to the so-called double $\gamma$-phonon state is discussed briefly.

References in corpus (17)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Quantum Phase Transition in the Shape of Zr isotopes
• Novel shape evolution in exotic Ni isotopes and configuration-dependent shell structure
• Solutions of the Bohr hamiltonian, a compendium
• First Measurement of Collectivity of Coexisting Shapes based on Type II Shell Evolution: The Case of ${}^{96}$Zr
• Bohr Hamiltonian with deformation-dependent mass term for the Davidson potential
• Novel shape evolution in Sn isotopes from magic numbers 50 to 82
• Multi-Phonon $\gamma$-Vibrational Bands and the Triaxial Projected Shell Model
• Shape staggering of mid-shell mercury isotopes from in-source laser spectroscopy compared with Density Functional Theory and Monte Carlo Shell Model calculations
• Underlying structure of collective bands and self-organization in quantum systems
• Nature of isomerism in exotic sulfur isotopes
• Electric quadrupole transitions of the Bohr Hamiltonian with the Morse potential
• Variation after full projection with triaxially deformed nuclear mean field
• Triaxial shape fluctuations and quasiparticle excitations in heavy nuclei
• Anharmonic double-phonon excitations in the interacting boson model
• Anharmonic double-$\gamma$ vibrations in nuclei and their description in the interacting boson model
• Skyrme Random-Phase-Approximation description of lowest $K^{\pi }=2_{\gamma }^{+}$ states in axially deformed nuclei

Cited by in corpus (1)

• B(E2) anomaly and triaxial deformation in the interacting boson model