\begin{document}$ \pi d_{5/2} $\end{document} rotational bands in odd-even nuclei 117,119,121,123,125Cs are systematically investigated using the cranked shell model (CSM) with the pairing correlations modeled with a particle number conserving (PNC) method. In this PNC method, the particle number is conserved exactly while considering the blocking effects. The experimental observations of the \begin{document}$ \pi d_{5/2} $\end{document} bands with two upbendings for 117,119Cs and one backbending for 125Cs are reproduced very well by the PNC-CSM method. Furthermore, \begin{document}$ \pi d_{5/2} $\end{document} configuration bands with two upbendings for 121Cs and one backbending for 123Cs are predicted by the PNC-CSM calculations. The difference between the lighter 117,119,121Cs and heavier 123,125Cs isotopes is caused by the evolution of single-particle orbitals near the Fermi surface, and the high-j low-Ω orbital \begin{document}$ \pi [550]1/2 $\end{document} plays an important role. The proton shell gap of lighter isotopes is at \begin{document}$ Z=50 $\end{document}, whereas it appears at \begin{document}$ Z=48 $\end{document} for heavier ones. For lighter isotopes 117,119,121Cs, the first upbending is primarily due to the off-diagonal contributions of protons \begin{document}$ j_{x}(\pi5/2^{-}[532]\pi3/2^{-}[541]) $\end{document} and \begin{document}$ j_{x}(\pi1/2^{-}[550]\pi3/2^{-}[541]) $\end{document}. The second upbending is mainly effected by the off-diagonal contributions of neutrons \begin{document}$ j_{x}(\nu7/2^{-}[523] \nu5/2^{-}[532]) $\end{document} and \begin{document}$ j_{x}(\nu3/2^{-}[541] \nu5/2^{-}[532]) $\end{document} for 117,119Cs and \begin{document}$ j_{x}(\nu1/2^{-}[541] \nu5/2^{-}[532]) $\end{document} for 121Cs, respectively. For heavier isotopes such as 123,125Cs, the backbending is attributed mainly to the diagonal parts of proton \begin{document}$ j_{x}(\pi1/2^{-}[550]) $\end{document} and neutron \begin{document}$ \nu7/2^{-}[523] $\end{document} orbital related terms of diagonal \begin{document}$ j_{x}(\nu7/2^{-}[523]) $\end{document} and off-diagonal \begin{document}$ j_{x}(\nu7/2^{-}[523] \nu5/2^{-}[532]) $\end{document} contributions."> Particle-number conserving analysis of the <i>πd</i><sub>5/2</sub> band in <sup>117,119,121,123,125</sup>Cs -
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