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arXiv 2303.05014astro-ph.HE
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黑洞X射线双星中不同跃迁光度的平流主导吸积流

Advection-dominated accretion flow for the varied transition luminosities in black hole X-ray binaries

Jiaqi Li, Erlin Qiao

摘要:

在观测上,两个主要的光谱状态,即,在黑洞X射线双星(BH-XRBs)中识别出低/硬态和高/软态。同时,经常观察到两种状态之间的转换。本文在对流主导吸积流(ADAF)的自相似解的框架下,重新研究了跃迁光度。具体来说,我们分别研究了不同半径$r$下ADAF的临界质量吸积率$\dot m_{\rm crit}$。发现$\dot m_{\rm crit}$随着$r$的减少而减少。通过检验BH质量$m$、磁参数$β$和粘度参数$α$的影响,发现只有$α$对$\dot m_{\rm crit}-r$关系有显著影响。我们将最小$\dot m_{\rm crit}$(大致在最内侧稳定圆形轨道处)定义为硬到软转变速率$\dot m_{\rm tr: H\rightarrow S}$,高于该速率,BH将逐渐从低/硬状态转变为高/软状态,并且将$30$ Schwarzschild半径处的$\dot m_{\rm crit}$定义为软到硬转变速率$\dot m_{\rm tr: S\rightarrow H}$,低于该速率,BH将逐渐从高/软状态转变为低/硬状态。我们分别导出了$\dot m_{\rm tr: H\rightarrow S}$和$\dot m_{\rm tr: S\rightarrow H}$作为$α$函数的拟合公式。通过与观测值的比较,发现硬-软相变和软-硬相变时的PDMATHBMQ平均值分别为$α\sim 0.85$和$α\sim 0.33$,这表明需要用两类PDMATHBMQ来解释相变过程中的滞后效应.最后,我们认为,这种约束$α$可能提供有价值的线索,进一步探讨吸积物理在BH-XRB。

英文摘要:

Observationally, two main spectral states, i.e., the low/hard state and the high/soft state, are identified in black hole X-ray binaries (BH-XRBs). Meanwhile, the transitions between the two states are often observed. In this paper, we re-investigate the transition luminosities in the framework of the self-similar solution of the advection-dominated accretion flow (ADAF). Specifically, we search for the critical mass accretion rate $\dot m_{\rm crit}$ of ADAF for different radii $r$ respectively. It is found that $\dot m_{\rm crit}$ decreases with decreasing $r$. By testing the effects of BH mass $m$, the magnetic parameter $β$ and the viscosity parameter $α$, it is found that only $α$ has significant effects on $\dot m_{\rm crit}-r$ relation. We define the minimum $\dot m_{\rm crit}$ (roughly at the innermost stable circular orbit) as the hard-to-soft transition rate $\dot m_{\rm tr: H\rightarrow S}$, above which BH will gradually transit from the low/hard state to the high/soft state, and $\dot m_{\rm crit}$ at $30$ Schwarzschild radii as the soft-to-hard transition rate $\dot m_{\rm tr: S\rightarrow H}$, below which BH will gradually transit from the high/soft state to the low/hard state. We derive fitting formulae of $\dot m_{\rm tr: H\rightarrow S}$ and $\dot m_{\rm tr: S\rightarrow H}$ as functions of $α$ respectively. By comparing with observations, it is found that the mean value of $α$ are $α\sim 0.85$ and $α\sim 0.33$ for the hard-to-soft transition and the soft-to-hard transition respectively, which indicates that two classes of $α$ are needed for explaining the hysteresis effect during the state transition. Finally, we argue that such a constrained $α$ may provide valuable clues for further exploring the accretion physics in BH-XRBs.

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