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arXiv 2109.09098astro-ph.HE
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利用脉冲星加速的时间效应探测球状星团的暗物质

Probing Dark Contents in Globular Clusters With Timing Effects of Pulsar Acceleration

Li-Chun Wang, Yi Xie

摘要:

本文研究了脉冲星横向加速度与R $\rm{\ddot{o}}$ mer延迟的耦合效应引起的脉冲星计时残差。影响相对较小,通常可以忽略不计。只有对球状星团中的双星,它才可能是重要的。最大的剩余振幅是来自于靠近星团核心表面的脉冲星,约为几十纳秒,目前大多数球状星团很难识别。然而,位于星团中心的中等质量黑洞可以明显地增加时间余值。特别是对于最里面的核心区域中的双极子,它们的残余幅度可能是显著的。在每个星团的临界线以上的高星等残差是星团中心存在总质量相当的黑洞或暗遗迹的有力证据。我们还探讨了瞄准线加速度的时间效应。用蒙特卡罗方法模拟了视线加速度的分布。一个二维Kolmogorov-Smirnov测试进行重新检查的分布的一致性的模拟和报告的数据的各种值的参数的集群。结果表明,通过比较观测到的视线加速度分布与蒙特卡罗模拟的分布,可以很好地约束泰山5的结构参数。我们提供的集群有一个上限的中央黑洞/暗残余质量的$ \sim 6000 M_{\odot} $。

英文摘要:

We investigate pulsar timing residuals due to the coupling effect of the pulsar transverse acceleration and the R$\rm{\ddot{o}}$mer delay. The effect is relatively small and usually negligible. Only for pulsars in globular clusters, it is possibly important. The maximum residual amplitude, which is from the pulsar near the surface of the core of the cluster, is about tens nanoseconds, and may hardly be identified for most of the globular clusters currently. However, an intermediate-mass black hole in the centre of a cluster can increase apparently the timing residual magnitudes. Particularly for the pulsars in the innermost core region, their residual magnitudes may be significant. The high-magnitude residuals, which above critical lines of each cluster, are strong evidences for the presence of a black hole or dark remnants of comparable total mass in the centre of the cluster. We also explored the timing effects of line-of-sight accelerations for the pulsars. The distribution of measured line-of-sight accelerations are simulated with a Monte Carlo method. A two-dimensional Kolmogorov-Smirnov tests are performed to reexamine the consistency of distributions of the simulated and reported data for various values of parameters of the clusters. It is shown that the structure parameters of Terzan 5 can be well constrained by comparing the distribution of measured line-of-sight accelerations with the distributions from Monte Carlo simulations. We provide that the cluster has an upper limit on the central black hole/dark remnant mass of $ \sim 6000 M_{\odot} $.

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