Wobbling motion in ${}^{135}$Pr within a collective Hamiltonian

Abstract

The recently reported wobbling bands in ${}^{135}$Pr are investigated by the collective Hamiltonian, in which the collective parameters, including the collective potential and the mass parameter, are respectively determined from the tilted axis cranking (TAC) model and the harmonic frozen alignment (HFA) formula. It is shown that the experimental energy spectra of both yrast and wobbling bands are well reproduced by the collective Hamiltonian. It is confirmed that the wobbling mode in ${}^{135}$Pr changes from transverse to longitudinal with the rotational frequency. The mechanism of this transition is revealed by analyzing the effective moments of inertia of the three principal axes, and the corresponding variation trend of the wobbling frequency is determined by the softness and shapes of the collective potential.

15 pages, 8 figures

References in corpus (7)

• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Transverse Wobbling in ${}^{135}$Pr
• Collective Hamiltonian for chiral modes
• 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
• Collective Hamiltonian for wobbling modes
• Wobbling geometry in simple triaxial rotor

Cited by in corpus (3)

• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• $g$-factor and static quadrupole moment of ${}^{135}$Pr, ${}^{105}$Pd, and ${}^{187}$Au in wobbling motion
• Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei