Abstract
We propose to investigate the properties of nuclear matter by measuring the elastic scattering of $J/\ensuremath{\psi}$ on nuclei with a high precision. $J/\ensuremath{\psi}$ mesons are produced from photons emitted in high-energy electron-proton or electron-nucleus scattering in the low-$x$ region. Their scattering on nucleons or nuclei is predominantly mediated by gluonic forces. The measurement could be performed at the future ENC, EIC, or LHeC facility.
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