The Hamiltonian system of a scalar wave field and a single nonrelativis-tic particle coupled in a translation invariant manner is considered. <...> The particle is also subject to a confining external potential. <...> The stationary solutions of the system are Coulomb type wave fields centered at those particle positions for which the external force vanishes. <...> It is proved that the solutions of finite energy converge, in suitable local energy seminorms, to the set S of all stationary states in the long time limit t —* ±00. <...> Next it is shown that the rate of relaxation to a stable stationary state is determined by the spatial decay of initial data. <...> The convergence is followed by the radiation of the dispersion wave that is a solution of the free wave equation Similar relaxation has been proved previously for the case of a relativis-tic particle when the speed of the particle is less than the speed of light. <...> Now these results are extended to a nonrelativistic particle with arbitrary superlight velocity. <...> However, the research is restricted to the plane particle trajectories in IR3. <...> Extension to the general case remains an open problem.! <...>