Kinematics and Quantum Field Theory of the Neutrino Oscillations Observed in the Time-modulated Orbital Electron Capture Decay in an Ion Storage Ring

Abstract

According to the recent experimental data of a GSI--experiment, the rate of the number of daughter ions ${}^{140}{\mathrm{Ce}}^{58+}$, produced by a nuclear K--shell electron capture (EC) of the H--like ion ${}^{140}{\mathrm{Pr}}^{58+}$, is modulated in time with a period $T_d=(7.06\pm 8)$seconds. We explain this phenomenon by neutrino--flavour mixing and show that this can be understood within standard quantum field theory and derive a value for the squared mass difference $\Delta m_{21}^2=m_2^2-m_1^2=(0.763\pm 8)\cdot 10^{-4}{\mathrm{eV}}^2$. This proves that such processes provide a precise method to investigate neutrino--flavour mixing.

17 pages

References in corpus (5)

• Observation of Non-Exponential Orbital Electron Capture Decays of Hydrogen-Like ${}^{140}$Pr and ${}^{142}$Pm Ions
• Measurement of the ${\beta }^{+}$ and orbital electron-capture decay rates in fully-ionized, hydrogen-like, and helium-like ${}^{140}$Pr ions
• Weak decays of H-like 140Pr58+ and He-like 140Pr57+ ions
• On the time-modulation of the K-shell electron capture decay of H-like 140Pr58+ ions produced by neutrino-flavour mixing
• New method for studying neutrino mixing and mass differences

Cited by in corpus (5)

• Rates of Processes with Coherent Production of Different Particles and the GSI Time Anomaly
• Theoretical Overview of Neutrino Properties
• Comment on the Neutrino-Mixing Interpretation of the GSI Time Anomaly
• Unitarity Constraint upon Kinematical Analyses of the GSI Time-Modulated Radioactive Decay Experiment
• Rates of K-shell Electron Capture Decays of 180Re and 142Pm Atoms