Two-dimensional collective Hamiltonian for chiral and wobbling modes II: Electromagnetic transitions

Abstract

The intraband electromagnetic transitions in the framework of collective Hamiltonian for chiral and wobbling modes are calculated. By going beyond the mean field approximation on the orientations of rotational axis, the collective Hamiltonian provides the descriptions on both yrast band and collective excitation bands. For a system with one $h_{11/2}$ proton particle and one $h_{11/2}$ neutron hole coupled to a triaxial rotor ($\gamma =-30^{\circ }$), the intraband electromagnetic transitions given by the one-dimensional and two-dimensional collective Hamiltonian are compared to the results by the tilted axis cranking approach and particle rotor model. Compared with the tilted axis cranking approach, the electromagnetic transitions given by the collective Hamiltonian have a better agreement with those by the particle rotor model, due to the consideration of the quantum fluctuations.

17 pages, 4 figures

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Cited by in corpus (6)

• Multiple chiral doublet bands with octupole correlations in reflection-asymmetric triaxial particle rotor model
• Pseudospin symmetry and octupole correlations for multiple chiral doublets in 131Ba
• Recent progress in multiple chiral doublet bands
• Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei
• Towards a new semi-classical interpretation of the wobbling motion in ${}^{163}$Lu
• Harmonic chiral vibration in triaxial nuclei