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arXiv 1203.4263astro-ph.HE
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通过聚类分析评估光度相关性:黑洞X射线双星射电/X射线域中双径迹的证据

Assessing luminosity correlations via cluster analysis: Evidence for dual tracks in the radio/X-ray domain of black hole X-ray binaries

Elena Gallo, Brendan Miller, Rob Fender

摘要:

本文主要研究了静态和硬态黑洞X射线双星的射电:X射线关联。对已知来源的新观测,以及新发现的来源,导致越来越多的离群值远远超出了引用的最佳拟合关系的散布范围。在这里,我们采用和比较最先进的数据聚类技术,以确定和表征不同的数据分组内的无线电:X射线光度平面为18硬和静态黑洞X射线二进制几乎同时多波长覆盖。然后对聚类数据进行线性回归,以通过贝叶斯方法推断形式{ell}_{r}=alpha+beta {ell}_x的关系的参数(其中{ell}表示log lum)。我们的结论是,两个集群模型,独立的线性拟合,是一个显着的改进,拟合所有点作为一个单一的集群。虽然上轨道斜率(0.63 \pm 0.03)在误差范围内与2003年关系式的拟合斜率(0.7 \pm 0.1)一致,但下轨道斜率(0.98 \pm 0.08)与上轨道不一致,也与中子星广泛采用的值~1.4不一致。这两个光度轨迹并不反映黑洞自旋的系统差异,无论是从反射,或连续拟合方法估计。这些结果对子样本的选择、距离的准确性和上限的处理不敏感。除了引入进一步的复杂性,在理解同步辐射和康普顿发射之间的相互作用,从黑洞X射线双星,存在两个轨道的无线电:X射线域强调,一个高度的谨慎,必须行使时,采用黑洞光度关系的目的,估计第三个参数,如距离或质量。

英文摘要:

[abridged] The radio:X-ray correlation for hard and quiescent state black hole X-ray binaries is critically investigated in this paper. New observations of known sources, along with newly discovered ones, have resulted in an increasingly large number of outliers lying well outside the scatter about the quoted best-fit relation. Here, we employ and compare state of the art data clustering techniques in order to identify and characterize different data groupings within the radio:X-ray luminosity plane for 18 hard and quiescent state black hole X-ray binaries with nearly simultaneous multi-wavelength coverage. Linear regression is then carried out on the clustered data to infer the parameters of a relationship of the form {ell}_{r}=alpha+beta {ell}_x through a Bayesian approach (where {ell} denotes log lum). We conclude that the two cluster model, with independent linear fits, is a significant improvement over fitting all points as a single cluster. While the upper track slope (0.63\pm0.03) is consistent, within the errors, with the fitted slope for the 2003 relation (0.7\pm0.1), the lower track slope (0.98\pm0.08) is not consistent with the upper track, nor it is with the widely adopted value of ~1.4 for the neutron stars. The two luminosity tracks do not reflect systematic differences in black hole spins as estimated either from reflection, or continuum fitting method. These results are insensitive to the selection of sub-samples, accuracy in the distances, and to the treatment of upper limits. Besides introducing a further level of complexity in understanding the interplay between synchrotron and Comptonised emission from black hole X-ray binaries, the existence of two tracks in the radio:X-ray domain underscores that a high level of caution must be exercised when employing black hole luminosity relations for the purpose of estimating a third parameter, such as distance or mass.

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