I am trying to use the Bethe-Bloch equation to investigate how a Muon loses its energy as it penetrates through different materials in the muon lifetime experiment. In order to do so I need 2 determine both the total energy and kinetic energy.(adsbygoogle = window.adsbygoogle || []).push({});

For kinetic energy maximum I have been using

Tmx = (2*m*p^2*c^4) / (m^2*c^4 + M^2*c^4 + 2*m*c^2*(p^2*c^2 + M^2*c^4)^0.5 )

Typical values for Tmax I should be getting I have been informed are around 645MeV however I keep getting values in the region of 45MeV so I have obviously went wrong somewhere. Am I correct in saying:

m = electron mass (0.511MeV)

p = momentum of muon (achieved via p= gamma*mass of muon*c)

M = mass of the muon (105.6584 MeV)

If it is correct is there a chanae I am wrong with units of c somewhere? Or is it even density realted?

Also the velocity of a muon, is it correct that it is 0.9901c (i.e Beta = v/c for special relativity) before striking the material?

Much help would be greatly appreciated.

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# Bethe-Bloch Equation different materials

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