  We consider the production of a single top quark in association with a $W$
boson at LHeC based $\gamma p$ collider. We compute the cross section for the
process $\gamma p\rightarrow WtX$ with the anomalous $Wtb$ and $Wtb\gamma$
couplings. We find that the sensitivities to anomalous couplings of top quark
are shown to be comparable, even better than the ones obtained from direct
searches at hadron colliders.

High Energy Physics - Phenomenology