New high-spin level scheme of $^{112}$Rh: signature inversion and possible chirality

Neutron-rich Rh ($Z=45$) isotopes are located in the $A\approx110$ region where the nuclear structures are characterized by shape coexistence and shape transitions. The appearance of triaxial deformations have been found for nuclei $Z\ge41$ in this mass region. $^{112}$Rh has been re-investigated by examining the prompt $\gamma$-rays emitted in the spontaneous fission of $^{252}$Cf with the Gammasphere detector array. A new side band was built in $^{112}$Rh which can be called a yrare band that has been found in $^{104}$Rh, $^{106}$Rh, and $^{114}$Rh. The phenomena of signature inversion in the yrast band of $^{112}$ and possible chirality were discussed.