Covariant density functional theory for antimagnetic rotation

TL;DR

This paper presents a systematic covariant density functional theory analysis of antimagnetic rotation in 105Cd, successfully reproducing experimental data and elucidating the microscopic two-shears-like mechanism and current distributions.

Contribution

It provides the first detailed microscopic and self-consistent covariant density functional theory study of AMR in 105Cd, including configuration determination and current analysis.

Findings

Good agreement with experimental energy spectra and B(E2) values.

Clear illustration of the two-shears-like mechanism.

Detailed analysis of time-odd mean fields and current distributions.

Abstract

Following the previous letter on the first microscopic description of the antimagnetic rotation (AMR) in 105Cd, a systematic investigation and detailed analysis for the AMR band in the frame-work of tilted axis cranking (TAC) model based on covariant density functional theory are carried out. After performing the microscopic and self-consistentTAC calculations with an given density functional, the configuration for the observed AMR band in 105Cd is obtained from the single-particle Routhians. With the configuration thus obtained, the tilt angle for a given rotational frequency is determined self-consistently by minimizing the total Routhian with respect to the tilt angle. 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 105Cd 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 illus-trated. 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 onthe specific single-particle orbitals and the rotational frequency.