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arXiv 0909.2990astro-ph.HE
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关于kHz类量子点的频率比分布

On the distribution of frequency ratios of kHz QPOs

Martin Boutelier, Didier Barret, Yongfeng Lin, Gabriel Torok

摘要:

吸积中子星准周期振荡(QPO)的宽度(W)和均方根振幅(Rs)随频率变化。类似地,QPO频率随着源计数率(S)而变化。因此,QPO的重要性,缩放为S x Rs^2/W^(1/2)也将取决于频率。此外,显著性还随着傅立叶功率密度谱(T)的积分时间的平方根而增加。因此,根据数据的考虑方式,kHz QPO可能仅在其频率跨度的有限范围内被检测到,或者主要在某些频率处被检测到,从而潜在地导致所观察到的频率或频率比的分布中的偏差。尽管存在很多争议,但在Sco X-1中观察到的QPO频率比约为3/2的聚类,也在其他来源中看到,以前已被用作支持中子星QPO共振模型的论据。本文测量了三个原型中子星kHz QPO源4U 1636 -536、4U 0614 +091和Sco X-1的两个kHz QPO的统计显著性随频率的变化。由于QPO检测的意义取决于频率,我们表明,在灵敏度有限的观测(如在RXTE/PCA的情况下),同时检测的较低和较高的kHz QPO只能在有限的频率范围内实现。结果,即使QPO频率的均匀分布也将导致频率比的直方图中的峰值(特别是约3/2)。这意味着,所观察到的集群的比率并没有提供任何证据的固有的首选频率比,从而削弱了共振机制的情况下,在起源的中子星kHz QPO。

英文摘要:

The width (W), root mean squared amplitude (Rs) of lower and upper kHz quasi-periodic oscillations (QPOs) from accreting neutron stars vary with frequency. Similarly, the QPO frequency varies with the source count rate (S). Hence, the significance of a QPO, scaling as S x Rs^2/W^(1/2) will also depend on frequency. In addition, the significance also scales up with the square root of the integration time of the Fourier power density spectrum (T). Consequently, depending on the way data are considered, kHz QPOs may be detected only over a limited range of their frequency spans or detected predominantly at some frequencies, leading potentially to biases in the observed distributions of frequencies or frequency ratios. Although subject of much controversy, an observed clustering of QPO frequency ratios around 3/2 in Sco X-1, also seen in other sources, has been previously used as an argument supporting resonance based models of neutron star QPOs. In this paper, we measure how the statistical significance of both kHz QPOs vary with frequency for three prototype neutron star kHz QPO sources, namely 4U1636-536, 4U0614+091 and Sco X-1. As the significance of QPO detection depends on frequency, we show that in sensitivity-limited observations (as in the case of the RXTE/PCA), a simultaneous detection of both the lower and upper kHz QPOs can only be achieved over limited frequency ranges. As a result, even a uniform distribution of QPO frequencies will lead to peaks (in particular around 3/2) in the histogram of frequency ratios. This implies that the observed clustering of ratios does not provide any evidence for intrinsically preferred frequency ratios, thus weakening the case for a resonance mechanism at the origin of neutron star kHz QPOs.

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