Unique Particle Accelerator Experiment ideas

[affan]

TL;DR

experiments you would do if you had unconditional free access to a full scale particle accelerator

Basically, I've become more interested in particle physics and accelerators, but I was just wondering what kind of experiments could be done with one if you had one. I've seen the general experiments and the ones that have already been done but I'm looking for new and unique ideas. No particular reason just curious.

Cheers