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Detection of nuclear-decay γ rays provides a sensitive thermometer of nova nucleosynthesis. The most intense γ-ray flux is thought to be annihilation radiation from the β+ decay of F18, which is destroyed prior to decay by the F18(p,α)O15 reaction. Estimates of F18 production had been uncertain, however, because key near-threshold levels in the compound nucleus, Ne19, had yet to be identified. We report the first measurement of the F19(He3,tγ)Ne19 reaction, in which the placement of two long-sought 3/2+ levels is suggested via triton-γ-γ coincidences. The precise determination of their resonance energies reduces the upper limit of the rate by a factor of 1.5-17 at nova temperatures and reduces the average uncertainty on the nova detection probability by a factor of 2.1.

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Physical Review Letters