用中子星双星中的kHz准周期振荡检验弦环振荡模型
Test of the string loop oscillation model using kHz quasiperiodic oscillations in a neutron star binary
摘要：
本文用载流弦环振荡模型解释了最近在含有中子星的低质量X射线双星XTE J1701-407中观测到的高频准周期振荡（HF QPO）的特殊频率。中子星的外部几何近似的克尔几何，引入的误差不超过$10~\%$缓慢旋转的大质量中子星。径向和垂直弦环振荡的频率则由中子星的质量$M$和无量纲自旋$a$以及描述弦环张力和角动量综合效应的无量纲参数$ω$决定。结果表明弦环振荡模型可以解释中子星参数在${0.2<a<0.4}$和${2.1<M/{\rm M}_{\odot}<2.5}$区间内的kHz频率。然而，对于XTE J1701-407源中的所有三个HF QPO观测，弦参数$ω$不可能是相同的; $ω$的可接受值的限制取决于时空参数$M$和$a$。
英文摘要：
The model of current-carrying string loop oscillations is tested to explain the special set of frequencies related to the high-frequency quasiperiodic oscillations (HF QPOs) observed recently in the low-mass X-ray binary XTE J1701-407 containing a neutron star. The external geometry of the neutron star is approximated by the Kerr geometry, introducing errors not exceeding $10~\%$ for slowly rotating massive neutron stars. The frequencies of the radial and vertical string loop oscillations are then governed by the mass $M$ and dimensionless spin $a$ of the neutron star, and by the dimensionless parameter $ω$ describing combined effects of the string loop tension and its angular momentum. It is explicitly demonstrated that the string-loop oscillation model can explain the observed kHz frequencies for the neutron star parameters restricted to the intervals ${0.2<a<0.4}$ and ${2.1<M/{\rm M}_{\odot}<2.5}$. However, the stringy parameter $ω$ cannot be the same for all the three HF QPO observations in the XTE J1701-407 source; the limits on the acceptable values of $ω$ are given in dependence on the spacetime parameters $M$ and $a$.
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