Instability of nuclear wobbling motion and tilted axis rotation

Abstract

We study a possible correspondence between the softening of the wobbling mode and the "phase transition" of the one-dimensionally rotating mean field to a three-dimensionally rotating one by comparing the properties of the wobbling mode obtained by the one-dimensional cranking model + random phase approximation with the total routhian surface obtained by the three-dimensional tilted-axis cranking model. The potential surface for the observed wobbling mode excited on the triaxial superdeformed states in ${}^{163}$Lu is also analyzed.

13 pages, 6 figures, Phys. Rev. C, accepted

References in corpus (8)

• Chirality of nuclear rotation
• Description of Multi Quasi Particle Bands by the Tilted Axis Cranking Model
• Relativistic mean field description for the shears band mechanism in ${}^{84}$Rb
• Wobbling Motion in Atomic Nuclei with Positive-Gamma Shapes
• Nuclear Wobbling Motion and Electromagnetic Transitions
• Nuclear moments of inertia and wobbling motions in triaxial superdeformed nuclei
• Self-Consistent Harmonic Oscillator Model and Tilted Rotation
• Three-dimensional rotation of even-even triaxial nuclei

Cited by in corpus (16)

• Chiral vibrations in the A=135 region
• Two-dimensional collective Hamiltonian for chiral and wobbling modes
• Parametrizations of triaxial deformation and E2 transitions of the wobbling band
• Collective Hamiltonian for wobbling modes
• Open problems in microscopic theory of large-amplitude collective motion
• Tilted-axis wobbling in odd-mass nuclei
• QRPA treatment of the transverse wobbling mode reconsidered
• Wobbling motion in ${}^{135}$Pr within a collective Hamiltonian
• Rotational motion of triaxially deformed nuclei studied by microscopic angular-momentum-projection method I: Nuclear wobbling motion
• Two-dimensional collective Hamiltonian for chiral and wobbling modes II: Electromagnetic transitions
• Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei
• Wobbling geometry in simple triaxial rotor
• Influence of triaxial deformation on wobbling motion in even-even nuclei
• Semi-classical and anharmonic quantum models of nuclear wobbling motion
• Single-phonon and multi-phonon excitations of the $\gamma$ vibration in rotating odd-$A$ nuclei
• Two-phonon $\gamma$-vibrational states in rotating triaxial odd-$A$ nuclei