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Conditions for Cherenkov Radiation

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As far as I know, Cherenkov radiation occurs when a charged particle travels through a medium at a greater phase velocity than the speed of light in that medium. Molecules in that medium are polarized and after de-excitation emit radiation.

But there are a couple of things about Cherenkov radiation that I don't understand:
  1. Will the charged particle continue to polarize molecules until it loses energy and its speed falls below the speed of light in the medium?
  2. If the charged particle is an electron, why isn't it simply captured by a molecule/atom? Why does it polarize molecules instead?

Looking forward to your responses and clarifications.

[This is my first post on PF, so if this thread is posted in the wrong section of the website, please inform me. Thank you.]

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