Evolution of the chiral rotation mode in rhodium isotopes

Abstract

Self-consistent solutions for the chiral rotation in the rhodium isotopes $^{102--107}\mathrm{Rh}$ are obtained within the three-dimensional tilted axis cranking covariant density functional theory. The orientation of angular momenta is determined self-consistently by minimizing the total Routhian surface calculations with respect to the azimuth angle $\ensuremath{\varphi}$ and polar angle $\ensuremath{\theta}$ for a given rotational frequency. It is found that when neutrons are added the critical rotational frequency ${\ensuremath{\omega}}_{\text{crit}}$ of the appearance of chiral aplanar rotation decreases, which can be attributed to the neutrons in $(gd)$ shells having smaller and larger angular momentum components along the short and medium axes, respectively. The theoretical results agree well with the experimental energy spectra, electromagnetic transition probabilities, as well as the kinetic and dynamic moments of inertia.