We investigate the possibility of detecting single sqaurk production at the
proposed LHeC collider, in the framework of R-parity violating supersymmetry.
Taking advantage of the enhancement of the direct resonance production of
squark and the distinctive kinematics distributions of q~​→lq two body decay final states, the LHeC provides excellent opportunities of
probing R-violating L^Q^​D^ interactions at unprecedented level
compared to all the knowledge derived from indirect low energy nucleon
measurements. If no apparent deviation from SM predictions on high invariant
mass of muon and b-quark final states at the LHeC with 1fb−1 data, the
sensitivities on L^Q^​D^ coupling constant λ131′​×λ233′​ can be improved by nearly four orders, at energy
scale about 100 GeV.Comment: 9 pages, 8 figure