Abstract
We comment on arXiv:1901.10843, pointing out that its constraint on ultra-low-mass axions is incompatible with the duration of the data set described. We describe a simple way to analyze such data that gives the correct scaling.
Highlights
This elegant experiment [1] searched for axionic dark matter “wind” using two different nuclear magnetometers in the same molecule to cancel magnetic effects
The authors used a complicated analysis of the power spectra to obtain the constraint shown in the left panel of their Fig. 3, which is clearly flawed
One fits the time-series data and its errors with orthogonal, typically nonlinear, basis functions that model the data expected from the physics being probed
Summary
This elegant experiment [1] searched for axionic dark matter “wind” using two different nuclear magnetometers in the same molecule to cancel magnetic effects. The authors used a complicated analysis of the power spectra (described in Supplemental Material) to obtain the constraint shown in the left panel of their Fig. 3, which is clearly flawed. Any constraint on oscillations with periods, τ, long compared to the span of the data, T 1⁄4 2.642 × 106 s, cannot be tighter than those on oscillations with periods shorter than T and, must be substantially weaker.
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