  The microscopic understanding on the influence of the pairing correlations or
the superfluidity on the nuclear chiral rotation has been a longstanding and
challenging problem. Based on the three-dimensional cranking covariant density
functional theory, a shell-model-like approach with exact particle number
conservation is implemented to take into account the pairing correlations and
applied for the chiral doublet bands in Nd135. The data available are well
reproduced. It is found that the superfluidity can reduce the critical
frequency and make the chiral rotation easier. The mechanism is that the
particle/hole alignments along the short/long axis are reduced by the pairing
correlations, resulting in the enhanced preference of the collective rotation
along the intermediate axis, and inducing the early appearance of the chiral
rotation.
