Two pairs of positive-and negative-parity doublet bands together with eight strong electric dipole transitions linking their yrast positive- and negative-parity bands have been identified in ${}^{78}\mathrm{Br}$. They are interpreted as multiple chiral doublet bands with octupole correlations, which is supported by the microscopic multidimensionally-constrained covariant density functional theory and triaxial particle rotor model calculations. This observation reports the first example of chiral geometry in octupole soft nuclei.

Two distinct sets of chiral-partner bands have been identified in the nucleus ${}^{133}\mathrm{Ce}$. They constitute a multiple chiral doublet, a phenomenon predicted by relativistic mean field (RMF) calculations and observed experimentally here for the first time. The properties of these chiral bands are in good agreement with results of calculations based on a combination of the constrained triaxial RMF theory and the particle-rotor model.

Three sets of chiral doublet band structures have been identified in the ${}^{103}\mathrm{Rh}$ nucleus. The properties of the observed chiral doublet bands are in good agreement with theoretical results obtained using constrained covariant density functional theory and particle rotor model calculations. Two of them belong to an identical configuration and provide the first experimental evidence for a novel type of multiple chiral doublets, where an “excited” chiral doublet of a configuration is seen together with the “yrast” one. This observation shows that the chiral geometry in nuclei can be robust against the increase of the intrinsic excitation energy.

New rotational bands built on the $\nu (h_{11/2})$ configuration have been identified in ${}^{105}\mathrm{Pd}$. Two bands built on this configuration show the characteristics of transverse wobbling: the $\mathrm{\Delta }I=1$ transitions between them have a predominant $E2$ component and the wobbling energy decreases with increasing spin. The properties of the observed wobbling bands are in good agreement with theoretical results obtained using constrained triaxial covariant density functional theory and quantum particle rotor model calculations. This provides the first experimental evidence for transverse wobbling bands based on a one-neutron configuration, and also represents the first observation of wobbling motion in the $A\sim 100$ mass region.

The nature of the chiral candidate bands in ${}^{106}\mathrm{Ag}$, one of only two known examples of candidates which actually cross, is investigated experimentally and theoretically. Lifetimes have been determined for these bands in ${}^{106}\mathrm{Ag}$ using the Doppler-shift attenuation method with the $\gamma$-detector array AFRODITE. The level scheme of ${}^{106}\mathrm{Ag}$ has been extended, and three negative-parity bands have been observed to high spins. Configurations were assigned to the negative-parity bands based on a quasiparticle alignment analysis and on configuration-fixed constrained relativistic mean field calculations. The excitation energies, $B(M1)$ and $B(E2)$ values, as well as $B(M1)/B(E2)$ ratios have been compared with results of particle-rotor model calculations. From the investigations, it is concluded that the three close-lying negative-parity bands are a two-quasiparticle high-$K$ band and a pair of four-quasiparticle bands. The proposal that the two lowest-lying bands are chiral partners has not been confirmed.