Rotational motion of triaxially deformed nuclei studied by microscopic angular-momentum-projection method II: Chiral doublet band

Abstract

In the sequel of the present study, we have investigated the rotational motion of triaxially deformed nucleus by using the microscopic framework of angular-momentum projection. The Woods-Saxon potential and the schematic separable-type interaction are employed as a microscopic Hamiltonian. As the first example nuclear wobbling motion was studied in detail in the part~I of the series. This second part reports on another interesting rotational mode, chiral doublet bands: two prototype examples, ${}^{128}$Cs and ${}^{104}$Rh, are investigated. It is demonstrated that the doublet bands naturally appear as a result of the calculation in this fully microscopic framework without any kind of core, and they have the characteristic properties of the $B(E2)$ and $B(M1)$ transition probabilities, which are expected from the phenomenological triaxial particle-rotor coupling model.

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• Reexamine the nuclear chiral geometry from the orientation of the angular momentum
• Chiral geometry and rotational structure for ${}^{130}$Cs in the projected shell model
• Explore nuclear multiple chirality in $A\sim 60$ mass region within covariant density functional theory
• Two-dimensional collective Hamiltonian for chiral and wobbling modes II: Electromagnetic transitions
• $g$-factor and static quadrupole moment of ${}^{135}$Pr, ${}^{105}$Pd, and ${}^{187}$Au in wobbling motion
• Influence of triaxial deformation on wobbling motion in even-even nuclei
• The role of scalar and mass interactions in a relativistic model of the charmonium spectrum