Rates of Processes with Coherent Production of Different Particles and the GSI Time Anomaly

Abstract

With the help of an analogy with a double-slit experiment, it is shown that the standard method of calculation of the rate of an interaction process by adding the rates of production of all the allowed final states, regardless of a possible coherence among them, is correct. It is a consequence of causality. The claims that the GSI time anomaly is due to the mixing of neutrinos in the final state of the electron-capture process are refuted. It is shown that the GSI time anomaly may be due to quantum beats due to the existence of two coherent energy levels of the decaying ion with an extremely small energy splitting (about 10^{-15} eV) and relative probabilities having a ratio of about 1/99.

7 pages

References in corpus (9)

• Observation of Non-Exponential Orbital Electron Capture Decays of Hydrogen-Like ${}^{140}$Pr and ${}^{142}$Pm Ions
• Neutrino Flavor States and the Quantum Theory of Neutrino Oscillations
• Neutrino Flavor States and the Quantum Theory of Neutrino Oscillations
• On the time-modulation of the K-shell electron capture decay of H-like 140Pr58+ ions produced by neutrino-flavour mixing
• Kinematics and Quantum Field Theory of the Neutrino Oscillations Observed in the Time-modulated Orbital Electron Capture Decay in an Ion Storage Ring
• New method for studying neutrino mixing and mass differences
• Flavor Neutrinos States
• Oscillations in the GSI electron capture experiment
• Comment on the Neutrino-Mixing Interpretation of the GSI Time Anomaly

Cited by in corpus (6)

• On the time modulation of the K-shell electron capture decay rates of H-like heavy ions at GSI experiments
• Search for Oscillation of the Electron-Capture Decay Probability of ${}^{142}$Pm
• Theoretical Overview of Neutrino Properties
• The GSI anomaly
• The GSI Time Anomaly: Facts and Fiction
• Comment on 'A neutrino's wobble?'