QRPA treatment of the transverse wobbling mode reconsidered

Abstract

The quasiparticle random phase approximation is used to study the properties of the wobbling bands in ${}^{163}$Lu. Assuming that the wobbling mode represents pure isoscalar orientation oscillations results in too low wobbling frequencies and too strong M1 transitions between the one- and zero-phonon wobbling bands. The inclusion of an LL interaction, which couples the wobbling mode to the scissors mode, generates the right upshift of the wobbling frequencies and the right suppression of the B(M1)${}_{out}$ values toward the experimental values. In analogy to the quenching of low-energy E1 transition by coupling to the Isovector Giant Dipole Resonance, a general reduction of the M1 transitions between quasiparticle configurations caused by coupling to the scissors mode is suggested.

References in corpus (4)

• Transverse wobbling-a collective mode in odd-A triaxial nuclei
• Transverse Wobbling in ${}^{135}$Pr
• Microscopic calculation of the wobbling excitations by using the Woods-Saxon potential as a nuclear mean-field
• Parametrizations of triaxial deformation and E2 transitions of the wobbling band

Cited by in corpus (16)

• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• Beyond the Unified Model
• First Observation of Multiple Transverse Wobbling Bands of Different Kinds in ${}^{183}$Au
• Behavior of the collective rotor in wobbling motion
• Two-dimensional collective Hamiltonian for chiral and wobbling modes
• Transverse wobbling in an even-even nucleus
• Tilted-axis wobbling in odd-mass nuclei
• 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
• Quantal rotation and its coupling to intrinsic motion in nuclei
• $g$-factor and static quadrupole moment of ${}^{135}$Pr, ${}^{105}$Pd, and ${}^{187}$Au in wobbling motion
• Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei
• Influence of triaxial deformation on wobbling motion in even-even nuclei
• Interpretation of normal-deformed bands in 167Lu
• Quadrupole and monopole transition properties of $0_2^{+}$ in Gd isotopes