In PET scanners, why is a cyclotron used to make positrons?

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Why could you not use a non-linear accelerator, like the LHC (but obviously nowhere as big)? Would it non be able to produce positrons more quickly because it can obtain larger fractions of the speed of light in a smaller period of time?
 
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I don't understand your question. A cyclotron is a non-linear accelerator, like the LHC but much smaller. The particles travel in a spiral path.
 
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Not only the confusing question brought up by @phyzguy, but cyclotrons are not used in a PET scan to "make positrons". Positrons are produced by tracers (radioactive nuclei) that are injector or digested. These positrons do not come from cyclotrons.

So that first post is full of unicorns.

Zz.
 
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ZapperZ said:
Positrons are produced by tracers (radioactive nuclei) that are injector or digested. These positrons do not come from cyclotrons.
However, it should be mentioned that the tracers often are relatively short-lived and need to be produced on-site (such as fluorine-18 with a half-life of just below 2 hours). The usual way of doing so is to use a cyclotron so, in a sense, the cyclotron is used indirectly to "make positrons" by creating the positron emitters.

Clearly it would not be viable to have a LHC-size accelerator near every hospital as would be required (again, due to the short half-lives involved). A smaller cyclotron works perfectly well for the purpose.
 
Orodruin said:
However, it should be mentioned that the tracers often are relatively short-lived and need to be produced on-site (such as fluorine-18 with a half-life of just below 2 hours). The usual way of doing so is to use a cyclotron so, in a sense, the cyclotron is used indirectly to "make positrons" by creating the positron emitters.

Clearly it would not be viable to have a LHC-size accelerator near every hospital as would be required (again, due to the short half-lives involved). A smaller cyclotron works perfectly well for the purpose.

The TRACERS may be produced in an accelerator, but not the POSITRONS for PET scans, which is the premise of the OP in the title.

Zz.
 
ZapperZ said:
The TRACERS may be produced in an accelerator, but not the POSITRONS for PET scans, which is the premise of the OP in the title.

Zz.
Which is just what I said. I was essentially tracing down where the OP may have gotten the idea.