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I am currently studying the MicroMEGAS detector principle. Ionizing particles traverse the space of around 6 mm of Ar:Co2 mixture in the detector (10x10cm

Such a particle (minimum ionizing particle) loses energy following Bethe-Bloch formula at a rate of -dE/dx = 2 MeV/ (g/cm

It is normal that alongside its path, the muon ionizes in different points. My difficulty arises now assessing the number of such points (probabilistic). Given the above values of travel distances and energy values (and if possible given the configuration of the detector - that has a drift region where just a few primary ionizations occur, and an amplification region 40 kV/cm where electrons form avalanches), how can I calculate how many primary ionizations occur along the path of the cosmic muon?

And how can I be sure that the muon I am observing is a singular event at that particular time of the observation? (given the flux of about 1 cosmic muon per square centimeter per minute)

Thank you very much!

^{2}x 6mm) like in the picture below. A cosmic muon (4GeV) enters this space and ionizes along its path. I assume the longest path it can take (probabilistic) is alongside opposing diagonals of the rectangular parallelipiped (aprox. 142 mm) and the shortest is downstream (6mm).Such a particle (minimum ionizing particle) loses energy following Bethe-Bloch formula at a rate of -dE/dx = 2 MeV/ (g/cm

^{2}). The density of the mix of Ar:CO2 is aprox. 1.7 kg/m^{3}. This being said, a cosmic muon can deposit in 6mm and 142 mm or Ar:CO2 (-dE/dx * rho * x) 2.051 keV, respectively 48.536 keV.It is normal that alongside its path, the muon ionizes in different points. My difficulty arises now assessing the number of such points (probabilistic). Given the above values of travel distances and energy values (and if possible given the configuration of the detector - that has a drift region where just a few primary ionizations occur, and an amplification region 40 kV/cm where electrons form avalanches), how can I calculate how many primary ionizations occur along the path of the cosmic muon?

And how can I be sure that the muon I am observing is a singular event at that particular time of the observation? (given the flux of about 1 cosmic muon per square centimeter per minute)

Thank you very much!

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