How exactly is Antimatter made in a laboratory?

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Can any antimatter element theoretically be fabricated? How is this done?

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From a [previous comment of mine](https://www.reddit.com/r/EngineeringPorn/comments/cpb3gz/inside_cerns_antimatter_generator/ewozufe/):

> Take a proton beam with several tens of GeV of energy and direct it at a block of metal (iridium is good). Some of the crap that comes out the other end will be antiprotons. You can select antiprotons within a certain momentum range using magnets and collimators, rather like a mass spectrometer. Then you need to cool and decelerate the beam. They can be trapped using a Penning trap or similar.

> To make antihydrogen atoms, you can introduce positrons from a beta+ source. Neutral anti-atoms (as with regular atoms) are more difficult to trap than charged particles. They require the use of lasers as well as magnets.

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