Re-observing the NLS1 Galaxy RE J1034+396. I. the Long-term, Recurrent X-ray QPO with a High Significance

RE J1034+396 is a narrow-line Seyfert 1 galaxy (NLS1) in which the first significant X-ray quasi-periodic oscillation (QPO) in an active galactic nuclei (AGN) was observed in 2007. We report the detection of this QPO in a recent XMM-Newton observation in 2018 with an even higher significance. The quality factor of this QPO is 20, and its period is 3550 $\pm$ 80 s, which is 250 $\pm$ 100 s shorter than in 2007. While the QPO's period has no significant energy dependence, its fractional root-mean-square (rms) variability increases from 4% in 0.3-1 keV to 12% in 1-4 keV bands. An interesting phenomenon is that the QPO in 0.3-1 keV leads that in the 1-4 keV bands by 430 $\pm$ 50 s with a high coherence, opposite to the soft X-ray lag reported for the observation in 2007. We speculate that the QPO has an intrinsic hard lag, while the previous reported soft lag is caused by the interference of stochastic variability. This soft X-ray lead in the new data supports the idea that the QPO of RE J1034+396 is a possible AGN counterpart of the 67 Hz high-frequency QPO seen in the black hole binary (BHB) GRS 1915+105. We also search for QPO harmonics, but do not find any significant signals. Our new data reinforce previous results that the QPO is seen in a specific spectral state, as the only 2 observations showing no significant QPO signal exhibit an even stronger soft X-ray excess than the other 6 observations which display the QPO. Therefore, our results imply that the QPO in RE J1034+396 is physically linked to a soft X-ray component.