Abstract
High-spin excited states in the neutron-rich nucleus $^{115}\mathrm{Rh}$ have been identified for the first time by studying prompt $\ensuremath{\gamma}$ rays from the spontaneous fission of $^{252}\mathrm{Cf}$ with the Gammasphere detector array. A new yrast band and a sideband are built in $^{115}\mathrm{Rh}$. This level scheme is proposed to be built on the $7/{2}^{+}$ ground state. The existence of a large signature splitting and an yrare band in $^{115}\mathrm{Rh}$ shows typical features of a triaxially deformed nucleus. The rigid triaxial rotor plus particle model is used to interpret the level structure of $^{115}\mathrm{Rh}$. The level energies, the $\ensuremath{\gamma}$ branching ratios, the large signature splitting in the yrast band, and the inverted signature splitting in the yrare band in $^{115}\mathrm{Rh}$ are reproduced very well. Strong $K$ mixing occurs in $^{115}\mathrm{Rh}$ at high spin.
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