  Resonant production of scalar bottom, which is allowed in R-parity violating
interactions of supersymmetry, has been investigated at the LHeC collider.
Although searching for the physics beyond the standard model is a primary task
of the LHC, recently, an $\mathit{e^{-}p}$ collider (LHeC) is proposed to
complement and resolve the observation of new phenomena at the TeV scale. In
this paper, we have studied on the prospects of improving constraints for
$\hat{L}\hat{Q}\hat{D}$ couplings $\lambda_{ijk}'$ through the process
$\mathit{e^{-}+p\rightarrow\widetilde{b^{*}}\rightarrow\mu^{-}+\bar{q}}$ where
$\mathit{q}$ denotes the up type quarks. It is shown that constraints on
$\lambda_{ijk}'$ can be improved up to 10^{-3} for 1\: fb^{-1} integrated
luminosity at 95% C.L. with 60 GeV $\mathit{e^{-}}$ beam option of the LHeC.
