How can I make a detailed hypothesis for my particle accelerator project?

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Linuxkid
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I,m trying to put together all the complexities of making a small Linear Electron collider.
Basically it's two crt electron guns on each end of an polycarbonate tube with quadrupole magnet's for focusing. I have a decent idea of the EMR dangers involved. But since I could keep it below a certain level, it wouldn't be extremely bad. I'd like to just to find another way to make photons, and relation to the reactions occurring (Extremely hypothetical example: 2 electrons colliding at what ever EV)


Is there any equations I could use to make a detailed hypothesis? Like an formula or a whole
method I could use. If I could find a way to make a Feynman diagram that would be proportional to the energies involved would be great. Since then I could look for the exact power settings to use and the thickness of polycarbonate I would need, and etc. Any help otherwise would be awesome.


Sorry if I sound like a complete noob, just a personal research project that I,m extremely interested in. I made a cloud chamber already,so don't suggest it instead. :p
 
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