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An experiment addressing electron capture (EC) decay of hydrogen-like$^{142}$Pm$^{60+}$ ions has been conducted at the experimental storage ring(ESR) at GSI. The decay appears to be purely exponential and no modulationswere observed. Decay times for about 9000 individual EC decays have beenmeasured by applying the single-ion decay spectroscopy method. Both visuallyand automatically analysed data can be described by a single exponential decaywith decay constants of 0.0126(7) s$^{-1}$ for automatic analysis and 0.0141(7)s$^{-1}$ for manual analysis. If a modulation superimposed on the exponentialdecay curve is assumed, the best fit gives a modulation amplitude of merely0.019(15), which is compatible with zero and by 4.9 standard deviations smallerthan in the original observation which had an amplitude of 0.23(4).

New Test of Modulated Electron Capture Decay of Hydrogen-Like $^{142}$Pm Ions: Precision Measurement of Purely Exponential Decay