High-spin states of ¹³³Cs have been studied using the fusion-evaporation reaction ¹³⁰Te(⁷Li,0.16em0ex4n)¹³³Cs at a beam energy of 32 MeV. The previously reported level scheme of ¹³³Cs is extended and modified with the addition of nearly 30 new γ transitions. A pair of nearly degenerate positive-parity doublet bands are identified and assigned the same πd5/2νh11/2^-2 configuration. The properties of both bands show general agreement with the fingerprints of chiral rotation, and thus the bands are suggested as candidate chiral doublet bands. This interpretation is also supported by the particle rotor model calculations. In addition, the high-j intruder πh11/2 band is extended to the 27/2^- state. A new decoupled ΔI=2 sequence and a weak positive-parity band with magnetic dipole $(M1)$ transitions are observed. The former is tentatively assigned the πd5/2h11/2² configuration. Meanwhile, the systematic studies of the πd5/2, πg7/2, and πh11/2 bands in odd-A Cs isotopes are also discussed in the present work.
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