用双臂垂直p模振荡描述kHz QPO和HBO之间的频率相关性：无磁场的情况
An Attempt to Describe Frequency-Correlations among kHz QPOs and HBOs by Two-Armed Vertical p-mode Oscillations: Case of No Magnetic Field
摘要：
本文研究了相对论圆盘中两臂（$m=2$）垂直p模振荡的俘获。圆盘被假定为在垂直方向上是等温的，但是由于日冕的存在而在一定高度处被截断。同样的问题已经在以前的论文中研究过（Kato 2012 a）。然而，与前一篇文章不同，本文没有使用近似的振荡是几乎垂直的，而是限制在一个更简单的情况下，没有磁场。与前一篇论文一样，结果表明，两个基本振荡模式[在垂直方向上都是基频（$n=1$），但在水平方向上一个是基频（$n_{\rm r}=0$），另一个是第一泛音（$n_{\rm r}=1$）]对应于双kHz QPO。第二，作为垂直方向上的第一泛音$(n=2)$和水平方向上的基波（$n_{\rm r}=0$）的振荡模式将对应于Z源的水平分支振荡（HBO）。后者表明，Z源的水平分支是一个序列的温度变化的磁盘，其垂直厚度是强烈终止。温度从正常枝和水平枝之间的顶点开始依次升高。
英文摘要：
Trapping of two-armed ($m=2$) vertical p-mode oscillations in relativistic disks are examined. The disks are assumed to be isothermal in the vertical direction, but are truncated at a certain height by the presence of corona. The same issues have been examined in a previous paper (Kato 2012a). In this paper, unlike the previous paper, however, we do not use the approximation that the oscillations are nearly vertical, but limit to a simpler case of no magnetic field. As in the previous paper, the results suggest that the two basic oscillation modes [both are the fundamental ($n=1$) in the vertical direction but in the horizontal direction one is the fundamental ($n_{\rm r}=0$) and the other the first overtone ($n_{\rm r}=1$)] correspond to the twin kHz QPOs. Second, the oscillation mode which is the first overtone $(n=2)$ in the vertical direction and the fundamental in the horizontal direction ($n_{\rm r}=0$) will correspond to the horizontal branch oscillation (HBO) of Z-sources. The latter suggests that the horizontal branch of Z-sources is a sequence of temperature change in disks whose vertical thickness is strongly terminated. The temperature increases leftward along the sequence from the apex between normal and horizontal branches.
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