Covariant density functional theory for antimagnetic rotation

Abstract

Following a previous Letter [P. W. Zhao et al., Phys. Rev. Lett. 107, 122501 (2011)] on the first microscopic description of the antimagnetic rotation (AMR) in ${}^{105}\mathrm{Cd}$, a systematic investigation and detailed analysis for the AMR band in the framework of the tilted-axis cranking (TAC) model based on covariant density functional theory are carried out. After the microscopic and self-consistent TAC calculations are performed with a given density functional, the configuration for the observed AMR band in ${}^{105}\mathrm{Cd}$ is obtained from the single-particle Routhians. With the configuration thus obtained, the tilt angle ${\ensuremath{\theta}}_{\ensuremath{\Omega}}$ for a given rotational frequency is determined self-consistently by minimizing the total Routhian with respect to the angle ${\ensuremath{\theta}}_{\ensuremath{\Omega}}$. In such a way, the energy spectrum, total angular momenta, kinetic and dynamic moments of inertia, and the $B(E2)$ values for the AMR band in ${}^{105}\mathrm{Cd}$ are calculated. Good agreement with the data is found. By investigating microscopically the contributions from neutrons and protons to the total angular momentum, the ``two-shears-like'' mechanism in the AMR band is clearly illustrated. Finally, the currents leading to time-odd mean fields in the Dirac equation are presented and discussed in detail. It is found that they are essentially determined by the valence particles and/or holes. Their spatial distribution and size depend on the specific single-particle orbitals and the rotational frequency.