Stops in R-parity Breaking Model for High-$Q^2$ Events at HERA

We investigate an event excess in the reaction $e^+p \to e^+ X$ with large $x$ and high $Q^2$ observed at HERA and show that the events could naturally be interpreted as a signature of the production of the scalar top quarks (stops) in a supersymmetric model with $R$-parity breaking interactions. The HERA events are characterized by the broad mass distribution and in fact it can be simulated by our specific scenario if we consider almost degenerate two mass eigenstates $\tilde{t_1}$ and $\tilde{t_2}$ of the stops.