Consider the reaction p︎ + p → p︎ + p + X. (a) For a fixed-target accelerator capable of producing incident protons with a kinetic energy of 1000 GeV, find the heaviest particle X that can be produced. (b) If colliding protons, each with a kinetic energy of 500 GeV, are available in a collider, what is the mass of the heaviest particle X that can be produced in the same reaction?
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