On the time modulation of the K-shell electron capture decay rates of H-like heavy ions at GSI experiments

Abstract

According to experimental data at GSI, the rates of the number of daughter ions, produced by the nuclear K-shell electron capture (EC) decays of the H-like heavy ions with one electron in the K-shell, such as 142Pr58+, 142Pm60+ and 122I52+, are modulated in time with periods T_(EC)of the order of a few seconds, obeying an A-scaling T_(EC)= A/20 s, where A is the mass number of the mother nuclei, and with amplitudes a^(EC)_d ~ 0.21. We show that these data can be explained in terms of the interference of two massive neutrino mass-eigenstates. The appearance of the interference term is due to overlap of massive neutrino mass-eigenstate energies and of the wave functions of the daughter ions in two-body decay channels, caused by the energy and momentum uncertainties introduced by time differential detection of the daughter ions in GSI experiments.

5 pages

References in corpus (7)

• Precision Measurement of Neutrino Oscillation Parameters with KamLAND
• Observation of Non-Exponential Orbital Electron Capture Decays of Hydrogen-Like ${}^{140}$Pr and ${}^{142}$Pm Ions
• Weak decays of H-like 140Pr58+ and He-like 140Pr57+ ions
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• The GSI anomaly
• On the Time-Modulation of the beta^+$-Decay Rate of H-like 140Pr58+ Ion
• First-Forbidden Continuum- and Bound-State beta^- -Decay Rates of Bare 205Hg80+ and 207Tl81+ Ions

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• New Test of Modulated Electron Capture Decay of Hydrogen-Like ${}^{142}$Pm Ions: Precision Measurement of Purely Exponential Decay
• Why a splitting in the final state cannot explain the GSI-Oscillations
• Energy uncertainty of the final state of a decay process
• Neutrino effects in two-body electron-capture measurements at GSI
• Neutrino magnetic moment effects in electron-capture measurements at GSI
• Neutrino Oscillations, Entanglement and Coherence: A Quantum Field Theory Study In Real Time
• GSI anomaly and spin-rotation coupling
• Time Modulation of K-electron Capture Decay of Hydrogen-Like Ions with Multiphoton Resonance Transitions
• Comment on "Time modulation of the K-shell electron capture decay rates of H-like heavy ions at GSI experiments", arXiv:0908.0877
• Is the GSI anomaly due to neutrino oscillations? - A real time perspective -
• Reply on "Comments on 'Time modulation of the K-shell electron capture decay rates of H-like heavy ions at GSI experiments'"
• Neutrino signals in electron-capture storage-ring experiments
• On the influence of the magnetic field of the GSI experimental storage ring on the time-modulation of the EC-decay rates of the H-like mother ions
• Lifetime measurements of nuclei in few-electron ions
• Decay Oscillations in Electron Capture and the Neutrino Mass Difference
• Non-exponential decay in Quantum Mechanics and Quantum Field Theory