Rotational motion of triaxially deformed nuclei studied by microscopic angular-momentum-projection method I: Nuclear wobbling motion

Abstract

Rotation of triaxially deformed nucleus has been an interesting subject in the study of nuclear structure. In the present series of work, we investigate wobbling motion and chiral rotation by employing the microscopic framework of angular-momentum projection from cranked triaxially deformed mean-field states. In this first part the wobbling motion is studied in detail. The consequences of the three dimensional cranking are investigated. It is demonstrated that the multiple wobbling rotational bands naturally appear as a result of fully microscopic calculation. They have the characteristic properties, that are expected from the macroscopic triaxial-rotor model or the phenomenological particle-triaxial-rotor model, although quantitative agreement with the existing data is not achieved. It is also found that the excitation spectrum reflects dynamics of the angular-momentum vector in the intrinsic frame of the mean-field (transverse vs. longitudinal wobbling). The results obtained by using the Woods-Saxon potential and the schematic separable interaction are mainly discussed, while some results with the Gogny D1S interaction are also presented.

References in corpus (7)

• Particle-Number Projection and the Density Functional Theory
• 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
• Tetrahedral symmetry in Zr nuclei: Calculations of low-energy excitations with Gogny interaction
• Quantal rotation and its coupling to intrinsic motion in nuclei
• Nuclear tetrahedral states and high-spin states studied using quantum number projection method
• Realistic description of the rotational bands in rare earth nuclei by angular-momentum-projected multi-cranked configuration-mixing method

Cited by in corpus (6)

• Symmetry restoration in mean-field approaches
• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• Two quasiparticle wobbling in the even-even nucleus 130Ba
• Rotational motion of triaxially deformed nuclei studied by microscopic angular-momentum-projection method II: Chiral doublet band
• 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