A dense hydrogen gas filled RF cavity has been proposed for muon beam phase space cooling and acceleration. The simulation effort has been suggested by the Muon Accelerator Program Advisory Committee (MuPAC) to investigate the characteristic of gas filled RF cavity with intense muon beams. We show the recent experimental result in the gas filled RF test cell and discuss an important gas plasma physics process that we should study in the simulation. Then, we show the present R&D of simulation tool.
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