Reversal of the amplitude difference of kHz QPOs in six atoll sources

TL;DR

This study examines the amplitude relationship of twin kHz QPOs in six neutron-star atoll sources, revealing a common ratio where their amplitudes equalize, suggesting a shared physical mechanism or orbital feature.

Contribution

It identifies a consistent amplitude ratio point across multiple sources, linking QPO amplitude behavior to potential orbital and energy exchange processes.

Findings

Amplitude equality occurs near R=1.5 in all sources.

Similar ratios around R=1.33 or R=1.25 are observed.

Amplitude differences suggest energy interchange between QPO modes.

Abstract

AIMS: For six neutron-star atoll sources (4U 1608-52, 4U 1636-53, 4U 0614+09, 4U 1728-34, 4U 1820-30 and 4U 1735-44) we investigate the relationship between the observed fractional rms amplitudes of the twin kHz QPOs. We discuss whether this displays features that could have a physical meaning in terms of the proposed QPO models. METHOD: We consider the difference in rms amplitude between the upper and lower kHz QPOs, as a function of the frequency ratio R. We compare two data sets. Set I is a collection taken from published data. Set II has rms amplitude values obtained by automatic fitting of continuous segments of RXTE-PCA observations. RESULTS: For each of the six sources, we find that there is a point in the R domain around which the amplitudes of the two twin kHz QPOs are the same. We find such a point located inside a narrow interval R=1.5 +-3%. Further investigation is needed in the case of two sources to explore this finding, since we have not determined this point in Set II. There is evidence of a similar point close to R = 1.33 or R = 1.25 in the four sources. We suggest that some of these points may correspond to the documented clustering of the twin kHz QPO frequency ratios. CONCLUSIONS: For the sources studied, the rms amplitudes of the two kHz peaks become equal when the frequencies of the oscillations pass through a certain ratio R, which is roughly the same for each of the sources. In terms of the orbital QPO models, with some assumptions concerning the QPO modulation, this finding implies the existence of a specific orbit at a common value of the dimensionless radius, at which the oscillations corresponding to the two peaks come into balance. In a more general context, the amplitude difference behaviour suggests the possible existence of an energy interchange between the upper and lower QPO modes.