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arXiv 2104.06177astro-ph.HE
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用热X射线谱研究潮汐破裂事件的可观测黑洞质量尺度上限

An upper observable black hole mass scale for tidal disruption events with thermal X-ray spectra

Andrew Mummery, Steven Balbus

摘要:

我们全面的模型的X射线发光度出现的时间依赖性相对论吸积盘,开发的X射线发光度的热盘系统作为黑洞质量$M$,光盘质量$M_d$,光盘$α$参数的函数的分析模型。这些解决方案的X射线属性将是直接相关的了解TDE观测。我们证明了一个非常强的抑制热X射线光度从大质量黑洞,$L_X \sim \exp(-m^{7/6})$,其中$m$是一个无量纲的质量,大致的黑洞质量在统一的$10^6$ M $_\odot$。这种强抑制的结果在上可观察的黑洞质量限制,我们证明是$M_{\rm lim} \simeq 3 \times 10^7 M_\odot$阶,超过该热X射线发射将无法观察到。这个可观测到的黑洞质量上限是剩余的盘参数的函数,并且完全的依赖性可以用解析的方式来描述(等式10)。82)。我们证明,目前的人口观察到的X射线TDEs确实是一致的黑洞的质量上限为$M \sim 10^7M_\odot$,与我们的分析一致。

英文摘要:

We comprehensively model the X-ray luminosity emergent from time dependent relativistic accretion discs, developing analytical models of the X-ray luminosity of thermal disc systems as a function of black hole mass $M$, disc mass $M_d$, and disc $α$-parameter. The X-ray properties of these solutions will be directly relevant for understanding TDE observations. We demonstrate an extremely strong suppression of thermal X-ray luminosity from large mass black holes, $L_X \sim \exp(-m^{7/6})$, where $m$ is a dimensionless mass, roughly the the black hole mass in unity of $10^6$M$_\odot$. This strong suppression results in upper-observable black hole mass limits, which we demonstrate to be of order $M_{\rm lim} \simeq 3 \times 10^7 M_\odot$, above which thermal X-ray emission will not be observable. This upper observable black hole mass limit is a function of the remaining disc parameters, and the full dependence can be described analytically (eq. 82). We demonstrate that the current population of observed X-ray TDEs is indeed consistent with an upper black hole mass limit of order $M \sim 10^7M_\odot$, consistent with our analysis.

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