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These rates cannot be measured directly because the nuclei live too briefly to be made into targets.","posed_since":"","precise":"Determine $(n, \\gamma)$ rates at $T\\ \\text{about}\\ 1e9\\,\\mathrm{K}$ for nuclei 10 to 20 neutrons beyond stability to within a factor of 2 (model predictions differ by up to two orders of magnitude far from stability), using indirect methods: the beta-Oslo method (gamma strength and level density from beta-decay feeding), surrogate reactions, and $(d, p)$ on radioactive beams. Answer: rates for the nuclei with largest abundance sensitivity and validated statistical-model inputs.","problem_ref":null,"references":"","settled_by":"Beta-Oslo and surrogate measurements at FRIB covering the sensitivity-ranked nuclei, cross-checked against direct measurements where possible.","status_note":"","title":"Neutron-capture rates on unstable neutron-rich 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