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We studied the structure of the neutrino wave functions produced in nuclear decays, with particular emphasis on the role of nuclear recoil. Although the fraction of the recoil energy associated with a nonzero neutrino mass is extremely small, it gives rise to a notable time-dependent flavor oscillation. For long-lived sources, such as those used in gallium anomaly and reactor anomaly experiments, this recoil-driven oscillation makes a substantial contribution to the observed deficit of (anti)neutrinos.

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