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Main Authors: Yang, Zihan, Ma, Ruican, Méndez, Mariano, Li, Z. X., Zhao, Q. C., Li, Panping, Tao, Lian, Zhang, Shuang-Nan, Zhang, Liang, Feng, Hua, Ma, Xiang, Huang, Yue
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.03527
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author Yang, Zihan
Ma, Ruican
Méndez, Mariano
Li, Z. X.
Zhao, Q. C.
Li, Panping
Tao, Lian
Zhang, Shuang-Nan
Zhang, Liang
Feng, Hua
Ma, Xiang
Huang, Yue
author_facet Yang, Zihan
Ma, Ruican
Méndez, Mariano
Li, Z. X.
Zhao, Q. C.
Li, Panping
Tao, Lian
Zhang, Shuang-Nan
Zhang, Liang
Feng, Hua
Ma, Xiang
Huang, Yue
contents Be/X-ray binary pulsars show transient outbursts and complex timing behaviour, including millihertz quasi-periodic oscillations (QPOs), whose physical origin and energy dependence remain poorly understood. We aim to characterise the temporal evolution and energy-dependent properties of the mHz QPO during the 2020 giant outburst of 1A 0535+262. We use the multi-Lorentzian fitting framework to jointly model the power spectra and the real and imaginary parts of the cross-spectrum, incorporating simultaneous broadband X-ray observations from NICER and Insight-HXMT (0.2-120 keV). We report the first detection of weak, but significant, mHz QPOs at low X-ray energies (below 27 keV), extending their detection to a new energy regime. The centroid frequency evolves from 41 to 93 mHz, with the peak root-mean-square (rms) amplitude detected in the 50-65 keV. Throughout the outburst, the QPOs generally exhibit a hard lag between 0.12 pi rad and 0.9 pi rad. However, at the outburst peak, the higher-energy bands (above 35 keV) display a soft lag of up to -0.93 pi rad. We propose that interactions between soft seed photons and an extended outflow located outside the magnetosphere can account for the observed hard lags. Furthermore, we detect a double-peaked mHz QPO only at high energies (E above 35 keV) near peak luminosity. The two peaks maintain an approximately constant separation of 2*nu_spin and exhibit anti-correlated phase evolution. Our results indicate that the mHz QPOs in 1A 0535+262 are closely linked to the coupled evolution of a soft-photon source and a Comptonizing outflow or corona. The joint cross-spectral framework provides a complementary probe of mHz QPOs beyond traditional power-spectral analyses.
format Preprint
id arxiv_https___arxiv_org_abs_2605_03527
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Unveiling hidden millihertz quasi-periodic oscillations in 1A 0535+262
Yang, Zihan
Ma, Ruican
Méndez, Mariano
Li, Z. X.
Zhao, Q. C.
Li, Panping
Tao, Lian
Zhang, Shuang-Nan
Zhang, Liang
Feng, Hua
Ma, Xiang
Huang, Yue
High Energy Astrophysical Phenomena
Be/X-ray binary pulsars show transient outbursts and complex timing behaviour, including millihertz quasi-periodic oscillations (QPOs), whose physical origin and energy dependence remain poorly understood. We aim to characterise the temporal evolution and energy-dependent properties of the mHz QPO during the 2020 giant outburst of 1A 0535+262. We use the multi-Lorentzian fitting framework to jointly model the power spectra and the real and imaginary parts of the cross-spectrum, incorporating simultaneous broadband X-ray observations from NICER and Insight-HXMT (0.2-120 keV). We report the first detection of weak, but significant, mHz QPOs at low X-ray energies (below 27 keV), extending their detection to a new energy regime. The centroid frequency evolves from 41 to 93 mHz, with the peak root-mean-square (rms) amplitude detected in the 50-65 keV. Throughout the outburst, the QPOs generally exhibit a hard lag between 0.12 pi rad and 0.9 pi rad. However, at the outburst peak, the higher-energy bands (above 35 keV) display a soft lag of up to -0.93 pi rad. We propose that interactions between soft seed photons and an extended outflow located outside the magnetosphere can account for the observed hard lags. Furthermore, we detect a double-peaked mHz QPO only at high energies (E above 35 keV) near peak luminosity. The two peaks maintain an approximately constant separation of 2*nu_spin and exhibit anti-correlated phase evolution. Our results indicate that the mHz QPOs in 1A 0535+262 are closely linked to the coupled evolution of a soft-photon source and a Comptonizing outflow or corona. The joint cross-spectral framework provides a complementary probe of mHz QPOs beyond traditional power-spectral analyses.
title Unveiling hidden millihertz quasi-periodic oscillations in 1A 0535+262
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2605.03527