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Determine whether OSC with optical amplification can cool protons at $100\\,\\mathrm{GeV} \\text{ to } 7\\,\\mathrm{TeV}$ with damping time shorter than the intrabeam-scattering time, given undulator radiation per proton, amplifier gain and bandwidth, and path-length stability of $\\sim 0.1$ wavelength.","problem_ref":"88c0f288c94255c019a5c58e3e4f11501020732da95b5e25a81c4d1a10852abe","references":"","settled_by":"A design calculation with realistic amplifier and lattice parameters giving the damping time, followed by a demonstration with hadrons.","status_note":"","title":"Optical stochastic cooling of hadron beams at collider 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