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arXiv 1601.04870astro-ph.HE
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GRS 1915+105中心跳振荡的能量依赖时滞和均方根模型

A model for the energy-dependent time-lag and rms of the heartbeat oscillations in GRS 1915+105

Mubashir Hamid Mir, Ranjeev Misra, Mayukh Pahari, Naseer Iqbal, Naveel Ahmad

摘要:

依赖于能量的相位滞后揭示了关于各种光谱分量之间的因果关系和关于致密物体周围的吸积几何性质的重要信息。GRS 1915+105在其心跳振荡类/ $ρ$状态下的时间滞后和分数均方根(rms)谱在基频和谐波频率处显示出特殊的行为,其中基频处的滞后在$\sim$ 10 keV处显示出转向,而谐波处的滞后至少在$\sim$ 20 keV之前没有显示出任何转向。滞后的幅度是几秒的量级,因此不能归因于光的旅行时间效应或康普顿化延迟。连续X射线光谱可以粗略地描述由一个磁盘黑体和硬X射线幂律分量,并从相位分辨光谱,它已被证明,在振荡过程中的内部磁盘半径变化。在这里,我们提出,有一个延迟的反应的内盘半径(DROID)的吸积率,使$r_{in}(t)\propto \dot{m}^β(t-τ_d)$。波动的吸积率驱动的振荡后,一个时间延迟$τ_d$的内半径,而幂律组件立即响应。我们表明,在这样的情况下,一个纯粹的正弦振荡的吸积率不仅可以解释的形状和大小的能量依赖均方根和时间滞后谱的基本,但也下一个谐波只有四个自由参数。

英文摘要:

Energy dependent phase lags reveal crucial information about the causal relation between various spectral components and about the nature of the accretion geometry around the compact objects. The time-lag and the fractional root mean square (rms) spectra of GRS 1915+105 in its heartbeat oscillation class/$ρ$ state show peculiar behaviour at the fundamental and harmonic frequencies where the lags at the fundamental show a turn around at $\sim$ 10 keV while the lags at the harmonic do not show any turn around at least till $\sim$ 20 keV. The magnitude of lags are of the order of few seconds and hence cannot be attributed to the light travel time effects or Comptonization delays. The continuum X-ray spectra can roughly be described by a disk blackbody and a hard X-ray power-law component and from phase resolved spectroscopy it has been shown that the inner disk radius varies during the oscillation. Here, we propose that there is a delayed response of the inner disk radius (DROID) to the accretion rate such that $r_{in}(t)\propto \dot{m}^β(t-τ_d)$. The fluctuating accretion rate drives the oscillations of the inner radius after a time delay $τ_d$ while the power-law component responds immediately. We show that in such a scenario a pure sinusoidal oscillation of the accretion rate can explain not only the shape and magnitude of energy dependent rms and time-lag spectra at the fundamental but also the next harmonic with just four free parameters.

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