Reconciliation of wobbling motion with rotational alignment in odd mass nuclei
R. Budaca
Abstract
The transverse wobbling motion in odd-$A$ nuclei is investigated by means of a semiclassical treatment applied to a triaxial rotor Hamiltonian with a rigidly aligned high-$j$ quasiparticle. An additional spin-spin interaction which accounts for the rotational alignment mechanism is used to generalize the quasiparticle-rotor coupling. Its effect on the rotation dynamics is investigated in a classical mainframe. The quantum realization of the excitations associated to the transverse wobbling regime in the presence of additional alignment is achieved in a harmonic approximation. The quality of the approximation is investigated in a general theoretical context and particularly when applied to transverse wobbling excitations observed in five $A\ensuremath{\approx}160$ nuclei and suggested for $^{183}\mathrm{Au}, ^{135}\mathrm{Pr}$, and $^{105}\mathrm{Pd}$.