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arXiv 1807.00029astro-ph.HEastro-ph.GA
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大质量星系核中潮汐破裂耀斑亏损对恒星质量函数的约束

Constraining the Stellar Mass Function from the Deficiency of Tidal Disruption Flares in the Nuclei of Massive Galaxies

Daniel J. D'Orazio, Abraham Loeb, James Guillochon

摘要:

每质量黑洞的潮汐破裂耀斑(TDFs)的速率编码了超大质量黑洞周围星团中恒星的现今质量函数(PDMF)的信息。我们探讨了如何与黑洞质量的TDF率的形状可以约束PDMF,只有弱依赖于黑洞自旋。我们发现,现有的数据可以勉强约束的最小和最大质量的恒星在集群中,和高质量的端部的PDMF斜率,以及整体TDF率。由于预计将使用Zwicky瞬态设施识别100个TDFs,因此总体速率可能受到高度约束,但对PDMF仍然只有边际约束。然而,如果未来10年内LSST预计发现的TDFs数量级(数量级为1000个TDFs)少于10%,那么就可以对核星团中的最小恒星质量(在2倍以内)和高质量PDMF的平均斜率(在~10%以内)进行精确和准确的估计。这种技术可以适应在未来的探测,除了PDMF,当地的黑洞质量函数和可能的大规模黑洞二进制人口。

英文摘要:

The rate of tidal disruption flares (TDFs) per mass of the disrupting black hole encodes information on the present-day mass function (PDMF) of stars in the clusters surrounding super massive black holes. We explore how the shape of the TDF rate with black hole mass can constrain the PDMF, with only weak dependence on black hole spin. We show that existing data can marginally constrain the minimum and maximum masses of stars in the cluster, and the high-mass end of the PDMF slope, as well as the overall TDF rate. With of order 100 TDFs expected to be identified with the Zwicky Transient Facility, the overall rate can be highly constrained, but still with only marginal constraints on the PDMF. However, if less than of order 10% of the TDFs expected to be found by LSST over a decade (of order 1000 TDFs) are identified, then precise and accurate estimates can be made for the minimum stellar mass (within a factor of two) and the average slope of the high-mass PDMF (to within ~10%) in nuclear star clusters. This technique could be adapted in the future to probe, in addition to the PDMF, the local black hole mass function and possibly the massive black hole binary population.

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