Competition between antimagnetic and core rotation in109Cdwithin covariant density functional theory

Abstract

The tilted axis cranking model based on covariant density functional theory is used to investigate the negative-parity yrast sequence in ${}^{109}\mathrm{Cd}$. The energy spectra, the relation between spin and rotational frequency, deformation parameters, and reduced $E2$ transition probabilities are calculated, which are in good agreement with available data. The orientation of angular momentum is also extracted and discussed in detail. By investigating microscopically the orientation of angular momentum and the contributions of antimagnetic rotation and core rotation to the total angular momentum, we find that ${}^{109}\mathrm{Cd}$ should be a critical transitional nucleus between the antimagnetic and core rotations.