GSI anomaly and spin-rotation coupling

Abstract

We propose a model in which a recently reported modulation in the decay of the hydrogenlike ions ${}^{140}$Pr${}^{58+}$, ${}^{142}$Pm${}^{60+}$ and ${}^{122}$I${}^{52+}$ arises from the coupling of rotation to the spin of electron and nucleus. The model shows that the spin-spin coupling of electron and nucleus does not contribute to the modulation and predicts that the anomaly cannot be observed if the motion of the ions is rectilinear, or if the ions are stopped in a target. It also supports the notion that the modulation frequency is proportional to the inverse of the atomic mass.

4 pages. 1 figure. Some discussions and references are added. Some typos are corrected

References in corpus (8)

• 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
• Equation of spin motion in storage rings in a cylindrical coordinate system
• Rates of Processes with Coherent Production of Different Particles and the GSI Time Anomaly
• 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
• The GSI anomaly
• On the Time-Modulation of the beta^+$-Decay Rate of H-like 140Pr58+ Ion

Cited by in corpus (8)

• Neutrino coupling to cosmological background: A review on gravitational Baryo/Leptogenesis
• General method of the relativistic Foldy-Wouthuysen transformation and proof of validity of the Foldy-Wouthuysen Hamiltonian
• New Test of Modulated Electron Capture Decay of Hydrogen-Like ${}^{142}$Pm Ions: Precision Measurement of Purely Exponential Decay
• Spin Precession in Inertial and Gravitational Fields
• Energy uncertainty of the final state of a decay process
• A framework for dynamical generation of flavor mixing
• Spin-rotation coupling in compound spin objects
• Non-exponential decay in Quantum Mechanics and Quantum Field Theory