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Is it possible to produce gamma rays in a synchrotron?

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Yes and no. A Synchrotron is used to accelerate charged particles to very high speed. This can be a variety of charged particles like electrons, protons or positrons. Since a gamma ray is an uncharged photon, the synchrotron can't be used with them. read more

Since a gamma ray is an uncharged photon, the synchrotron can’t be used with them. The beam from the synchrotron can be directed at a target that can emit very short wavelength ionizing photons, though. read more

Then the synchrotron radiation can go up into the gamma range. If you just try knocking electrons off of atoms, you will find it very hard to get past X-ray energies. Besides: the definition of the two has ambiguity to it: some people look not so much at the energy level but to the origin: if it comes from the nucleus (no electrons), then it is gamma; otherwise it is X-rays. read more

" You can't. You might get hold of some radioactive material that emits gamma rays and put it in a properly designed collimator. Or you might make some sort of particle accelerator, but neither of them would be practical because they would be far too heavy and almost certainly too expensive. read more

If you want to produce gammas as synchrotron radiation you will have to make a very high energy electron accelerator. At SLAC they used to backscatter a laser off the 20 GeV electron beam; that made impressively high energy photons, but not many. read more

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