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Electron beams on targets can test that prediction directly.","posed_since":"","precise":"Test the thermal-freeze-out target y = epsilon^2 alpha_D (m_chi/m_A')^4 for scalar and fermion dark matter with $m_{\\chi} \\sim 1\\,\\mathrm{MeV} \\text{ to } 1\\,\\mathrm{GeV}$ coupled through a dark photon, using missing energy and momentum in $e- N \\to e- N A'$, A' -> chi chi-bar. An answer is a signal or exclusion of the thermal target for the main benchmark models.","problem_ref":null,"references":"","settled_by":"LDMX and NA64 (electron and muon modes) reaching the thermal targets across 1 MeV to $\\sim 1\\,\\mathrm{GeV}$.","status_note":"NA64 excludes thermal targets for some benchmarks at the lowest masses as of 2024 to 2025.","title":"Do missing-momentum experiments find MeV-GeV dark sector 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