R parity violating contribution to $e^{+}{e}^{-}({\mu }^{+}{\mu }^{-})\to t\bar{c}$

In this article we consider the contribution of $R_p$ violating couplings to the process $e^{+}{e}^{-}({\mu }^{+}{\mu }^{-})\to t\bar{c}$ at high energy lepton collider. We show that the present upper bound on the relevant $R_p$ violating coulpings obtained from low energy measurements would produce a few hundred to a thousand top-charm events at the next linear $e^{+}{e}^{-}({\mu }^{+}{\mu }^{-})$ collider. Hence, it should be possible to observe the rare process at future lepton collider.