Questioning the wobbling interpretation of low-spin bands in $\gamma$-soft nuclei within the interacting boson-fermion model

Abstract

An alternative interpretation of the recently reported low-lying excited bands in $\gamma$-soft odd-mass nuclei as wobbling bands is presented in terms of the interacting boson-fermion model. The model Hamiltonian is determined based on the mean-field calculations with the nuclear energy density functionals. The predicted mixing ratios of the $\Delta I=1$ electric quadrupole to magnetic dipole transition rates between yrast bands and those yrare bands previously interpreted as wobbling bands in ${}^{135}$Pr, ${}^{133}$La, ${}^{127}$Xe, and ${}^{105}$Pd are consistently smaller in magnitude than the experimental values on which the wobbling interpretation is based. These calculated mixing ratios indicate predominant magnetic character in agreement with the new experimental data. The earlier wobbling assignments are severely questioned.

arXiv comment12 pages, 13 figures, 2 tables; To appear in Phys. Rev. C

References in corpus (19)

• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• A finite range pairing force for density functional theory in superfluid nuclei
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Transverse wobbling-a collective mode in odd-A triaxial nuclei
• Transverse Wobbling in ${}^{135}$Pr
• Systematics of low-lying states of even-even nuclei in the neutron-deficient lead region from a beyond-mean-field calculation
• Robust Regularity in γ-Soft Nuclei and its Microscopic Realization
• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• Phase structure of a two-fluid bosonic system
• Phase structure of the two-fluid proton-neutron system
• Longitudinal Wobbling Motion in ${}^{187}$Au
• Shape evolution and the role of intruder configurations in Hg isotopes within the interacting boson model based on a Gogny energy density functional
• First Observation of Multiple Transverse Wobbling Bands of Different Kinds in ${}^{183}$Au
• Effect of a fermion on quantum phase transitions in bosonic systems
• Transverse wobbling in an even-even nucleus
• Beyond mean-field boson-fermion model for odd-mass nuclei
• Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Evidence against the wobbling nature of low-spin bands in ${}^{135}$Pr
• Comment on "Longitudinal wobbling in ${}^{133}$La [Eur. Phys. J. A 55, 159 (2019)]"

Cited by in corpus (2)

• Mapped interacting boson model for nuclear structure studies
• Search for the origin of wobbling motion in the $A\approx 130$ region: The case of ${}^{131}$Xe