Ruling out color transparency in quasi-elastic $^{12}$C(e,e'p) up to $Q^2$ of 14.2 (GeV/c)$^2$.

Quasielastic $^{12}$C(e,e'p) scattering was measured at negative 4-momentum transfer squared $Q^2$ = 8, 9.4, 11.4, and 14.2 (GeV/c)$^2$, the highest ever achieved to date. Nuclear transparency for this reaction was extracted by comparing the measured yield to that expected from a plane-wave impulse approximation calculation without any final state interactions. The measured transparency was consistent with no $Q^2$ dependence, up to proton momentum scales where earlier $A(p,2p)$ results had indicated a rise in transparency, ruling out the quantum chromodynamics effect of color transparency at the measured $Q^2$ scales. These results impose strict constraints on models of color transparency for protons.