Angular distriubution of muon flux

[Riffraff]

Hello physics enthusiasts,

I am currently trying to estimate the effects of the muon flux on an experimental setup located overground. In particular I am interested in the angular distribution with which they are impinging.

Sofar I have had problems even finding a simple muon energy spectrum (at creation in the atmosphere as well as at sea-level). As to the angular distribution, I have found this http://cosmic.lbl.gov/SKliewer/Cosmic_Rays/Muons.htm" which only makes the naive calculation based on the assumption that the attenuation and path lenghts of the muons are directly proportional. This I don't really understand, as I would expect the muon decaying to contribute with something like [tex]N(x) = N_{0}e^{\lambda x}[/tex], x being the path length and lambda related to the life time of the muon. Additionally muons might simply be stopped by EM interactions after a certain path length, but this effect would depend strongly on the energy spectrum.

I'm confident these inquiries have been made before but I can't seem to find anything usefull - I would be much obliged for some pointers.

Best regards :)

 

[AndyW]

Hello fellow physics enthusiast,

Thank you for bringing up this interesting topic. Estimating the effects of muon flux on an experimental setup is indeed a challenging task. You are correct in your assumption that the muon energy spectrum varies depending on their creation in the atmosphere and at sea-level. This is due to the interactions of cosmic rays with the Earth's atmosphere.

As for the angular distribution of muons, the calculation based on attenuation and path lengths may be a simplified approach, as it assumes a direct proportionality. However, as you mentioned, the decay and EM interactions of muons also play a role in their angular distribution.

There have been many studies on the angular distribution of muons, and I would suggest looking into research articles and journals for more accurate and detailed information. Additionally, you may also consider consulting with experts in the field for further guidance and insights.

I wish you all the best in your research and hope that you are able to find the information you need. Good luck!