Probe R-parity violating stop resonance at the LHeC

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 $\tilde{q}\rightarrow l q$ two body decay final states, the LHeC provides excellent opportunities of probing R-violating $\hat{L}\hat{Q}\hat{D}$ 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 1$fb^{-1}$ data, the sensitivities on $\hat{L}\hat{Q}\hat{D}$ coupling constant $\lambda^{'}_{131} \times \lambda^{'}_{233}$ can be improved by nearly four orders, at energy scale about 100 GeV.