Particle Accelerator: Ideas & Experiments Needed for University Project

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yuman
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Hello everyone!
I am new to quantum physics, currently i am studying it in one of my classes in university.
i need to do a project about particle accelerators and need ideas and clarification of this topic.
i need an idea of an experiment that used a particle accelerator to find discover a particle, and its significance to physics.
since i am new to this area of study I have no idea where to even begin.
your contribution will be GREATLY appreciated!
 
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Do you know any relativity? What might be useful about a particle accelerator, in regards to things like time dilation, length contraction, and how might that be more useful than a normal lab setting?

That's just one idea. Good luck.