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The frictional cooling method is one of the most promising methods on cooling a muon beam. Several frictional cooling schemes have been simulated in Geant4 to be efficient to produce intense muon beams. Frictional cooling works at a low energy range, where the energy loss (momentum transfer) from elastic collision is not negligible. In this paper, the p-He collision process is implemented into Geant4 and the simulation results are compared to the literature data. The cross section is then scaled for mu-He interaction, which will provide more accurate Geant4 simulations at low energies.
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