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The periodic time modulations, found recently in the two-body orbitalelectron-capture (EC) decay of both, hydrogen-like $^{140}$Pr$^{58+}$ and$^{142}$Pm$^{60+}$ ions, with periods near to 7s and amplitudes of about 20%,were re-investigated for the case of $^{142}$Pm$^{60+}$ by using a 245 MHzresonator cavity with a much improved sensitivity and time resolution. Weobserved that the exponential EC decay is modulated with a period $T =7.11(11)$s, in accordance with a modulation period $T = 7.12(11)$ s as obtainedfrom simultaneous observations with a capacitive pick-up, employed also in theprevious experiments. The modulation amplitudes amount to $a_R = 0.107(24)$ and$a_P = 0.134(27)$ for the 245 MHz resonator and the capacitive pick-up,respectively. These new results corroborate for both detectors {\it exactly}our previous findings of modulation periods near to 7s, though with {\itdistinctly smaller} amplitudes. Also the three-body $\beta^+$ decays have beenanalyzed. For a supposed modulation period near to 7s we found an amplitude $a= 0.027(27)$, compatible with $a = 0$ and in agreement with the preliminaryresult $a = 0.030(30)$ of our previous experiment. These observations couldpoint at weak interaction as origin of the observed 7s-modulation of the ECdecay. Furthermore, the data suggest that interference terms occur in thetwo-body EC decay, although the neutrinos are not directly observed.

High-resolution measurement of the time-modulated orbital electron capture and of the $\beta^+$ decay of hydrogen-like $^{142}$Pm$^{60+}$ ions