Using particle accelerator in place of ion drive

In ion drive, we use ionized gas. With particle accelerators, we use high-energy particles. Given that colliders expend huge amounts of energy to propell a handful of particles, I speculate the particles can be used as propellant just like with an ion drive.

Given the higer energy output compared to ion drive engines, would that be possible? Is the energy source compact and not too heavy to offset the benefits? What if we experimented with light vs. Heavy particles and even ions?

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Using particle accelerator in place of ion drive

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