Simulation of low energy muon frictional cooling

Abstract Frictional cooling is a proposed method of phase space reduction for a potential muon beam intended for collisions. The basic principle involves compensating for the muon energy loss in media by a constant electric field. The muons are in an energy regime below the ionization peak which for muons in helium is less than 10 keV . Electronic energy loss is treated as a continuous process and all individual nuclear scatters with scattering angles greater than 50 mrad are simulated as discrete processes. Other effects like the Barkas [W.H. Barkas, W. Birnbaum, F.M. Smith, Phys. Rev. 101 (1956) 778.] effect and Muonium formation are also included. The results of our simulations are summarized.