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Abstract: We discuss a model in which a recently reported modulation in the decay ofthe hydrogenlike ions ${}^{140}$Pr$^{58 +}$ and ${}^{142}$Pm$^{60 +}$ arisesfrom the coupling of rotation to the spin of electron and nuclei Thomasprecession. A similar model describes the electron modulation in muon $ g-2$experiments correctly. Agreement with the GSI experimental results is obtainedfor the current QED-values of the bound electron g-factors, $g{}^{140}$Pr$^{58+}=1.872$ and $g{}^{142}$Pm$^{60 +}=1.864$, if the Lorentz factor of thebound electron is $\sim 1.88$. The latter is fixed by either of the two sets ofexperimental data. The model predicts that the modulation is not observable ifthe motion of the ions is linear, or if the ions are stopped in a target.



Autor: G. Lambiase, G. Papini, G. Scarpetta

Fuente: https://arxiv.org/







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