Abstract
Using the particle-rotor model (PRM), in which two quasiparticles are coupled to a triaxial core, the negative-parity doublet bands in $^{106}\mathrm{Rh}$ are studied. The quadrupole deformations \ensuremath{\beta} and \ensuremath{\gamma} for the $\ensuremath{\pi}{g}_{9/2}\ensuremath{\bigotimes}\ensuremath{\nu}{h}_{11/2}$ configuration are calculated by configuration-fixed constrained triaxial relativistic mean-field (RMF) approaches, and these self-consistent deformation parameters are used as inputs for the PRM. The present calculated results well reproduce the observed energy spectra, energy staggering parameter, and electromagnetic transition ratios of the doublet bands, thus supporting the chiral interpretation of these doublet bands in $^{106}\mathrm{Rh}$. The effective angles between the angular momenta in the body-fixed frame are calculated for the first time. We demonstrate that rigid triaxial deformation can give rise to the experimentally observed constant energy separation between the yrast and side bands built on the asymmetrical $\ensuremath{\pi}{g}_{9/2}\ensuremath{\bigotimes}\ensuremath{\nu}{h}_{11/2}$ configuration in the $A~100$ mass region.
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