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A particle rotor model is developed which couples several valence protons andneutrons to a rigid triaxial rotor core. It is applied to investigating thechirality in odd-$A$ nucleus $^{135}$Nd with $\pi h_{11/2}^2\otimes\nuh^{-1}_{11/2}$ configuration for the first time in a fully quantal approach.For the two chiral sister bands, the observed energies and the $B(M1)$ and$B(E2)$ values for the in-band as well as interband transitions are reproducedexcellently. Root mean square values of the angular momentum components andtheir probability distributions are used for discussing in detail the chiralgeometry of the aplanar rotation and its evolution with angular momentum.Chirality is found to change from a soft chiral vibration to nearly staticchirality at spin $I=39/2$ and back to another type of chiral vibration athigher spin.

Chirality in odd-$A$ nucleus $^{135}$Nd in particle rotor model