基于共振激励双振荡模型的QPO频率相关性
Frequency Correlation of QPOs Based on a Resonantly-Excited Disk-Oscillation Model
摘要：
在以前的论文中，我们提出了一个模型，即在黑洞和中子星X射线双星中观察到的高频准周期振荡（HF QPO）是惯性声学振荡，它是由振荡和盘变形之间的非线性耦合在单臂变形盘上共振激发的。在本文中，我们表明，除了惯性声波，单臂横波也激发在变形的磁盘。它们是低频振荡。我们研究的频率和它们之间的相关性的惯性声振荡和激发的驻波，为了知道他们是否可以描述所观察到的频率之间的相关性kHz QPO和低频QPO（LF QPO）的中子星X射线双星。如果我们采用$M= 1.5\sim 2.0 M_\odot$和$a_* \sim 0.8$，其中$M$是中心恒星的质量，$a_*$是度规的无量纲自旋参数，结果似乎能很好地描述在Cir X-1中观测到的相关性。最后，简要总结和讨论了这个圆盘振荡模型中所涉及的假设。
英文摘要：
In previous papers, we have proposed a model that the high-frequency quasi-periodic oscillations (HF QPOs) observed in black-hole and neutron-star X-ray binaries are inertial-acoustic oscillations that are resonantly excited on a one-armed deformed disk by nonlinear couplings between the oscillations and the disk deformation. In this paper we show that in addition to the inertial-acoustic waves, one-armed corrugation waves are also excited in the deformed disks. They are low-frequency oscillations. We examine frequencies and their correlations among the inertial-acoustic oscillations and the corrugation waves that are excited, in order to know whether they can describe observed frequency correlations among kHz QPOs and low-frequency QPOs (LF QPOs) in neutron-star X-ray binaries. The results seem to well describe the observed correlations in Cir X-1, if we adopt $M= 1.5\sim 2.0 M_\odot$ and $a_* \sim 0.8$, where $M$ is the mass of the central star and $a_*$ is the dimensionless spin parameter of the metric. Finally, assumptions involved in this disk-oscillation model are briefly summarized and discussed.
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