The evolution of octupole deformation with rotation and the interleaved positive- and negative-parity bands in the pear-shaped nucleus ${}^{148}\mathrm{Ba}$ are investigated using the three-dimensional lattice cranking relativistic density functional theory, combined with a well-established shell-model-like approach to treat pairing correlations. The experimental $I\text{−}\omega$ relations for the yrast band are well reproduced. Potential energy surface calculations in the $({\beta }_{20},{\beta }_{30})$ plane reveal that the ground state of ${}^{148}\mathrm{Ba}$ possesses an axially symmetric yet reflection-asymmetric shape. Although the octupole deformation gradually decreases with increasing rotational frequency, the average value remains ${\beta }_{30}=0.12$ as the rotational frequency rises to 0.30 MeV, indicating the robustness of octupole shape against nuclear rotation. The evolution of the octupole-deformation proton driving pair $(d_{5/2},h_{11/2})$ and neutron driving pair $(f_{7/2},i_{13/2})$ with rotation is discussed by analyzing the components of single-particle levels in ${}^{148}\mathrm{Ba}$.

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• High spin states
• Nuclear shapes and moments
• Nuclear structure & decays
• 90 ≤ A ≤ 149
• Nuclear density functional theory