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We study a model for the "GSI anomaly" in which we obtain the time evolutionof the population of parent and daughter particles directly in real time,considering explicitly the quantum entanglement between the daughter particleand neutrino mass eigenstates in the two-body decay. We confirm that the decayrate of the parent particle and the growth rate of the daughter particle do\emph{not} feature a time modulation from interference of neutrino masseigenstates. The lack of interference is a consequence of the orthogonality ofthe mass eigenstates. This result also follows from the density matrix obtainedby tracing out the unobserved neutrino states. We confirm this result byproviding a complementary explanation based on Cutkosky rules applied to theFeynman diagram that describes the self-energy of the parent particle.

Is the GSI anomaly due to neutrino oscillations? - A real time perspective -