AI 中文总结
本研究提出一种在\texttt{CLASS}中实现的带振荡自动探测的平均技术，解决暗物质标量场快速振荡的数值求解难题，更新了QCDM模型的宇宙学约束。
AI 中文摘要
众所周知，当克莱因-戈登方程中质量标度对应的时间周期远小于哈勃参数设定的时间周期时，具有二次势的标量场暗物质会发生快速振荡，这使得该方程的数值求解变得十分困难。文献中已有许多工作解决该问题，方法要么是在振荡的良好行为区间求解克莱因-戈登方程与振荡开始时求解流体方程之间切换，要么是引入一组新变量来吸收这些振荡。尽管这些方法取得了成功，但它们依赖于对振荡开始时间的估计，对于模型参数空间的大规模扫描而言，这会变得十分繁琐，且这些方法主要用于非相互作用暗物质模型。本研究中，我们引入一种带有振荡开始自动探测功能的平均技术，该技术能够捕捉非相互作用及相互作用暗物质场景；该技术在\texttt{CLASS}中实现，在QCDM模型上测试显示出出色的探测和平均能力，我们还使用最新的公开数据更新了该模型的宇宙学约束。
英文摘要
It is well known that a scalar field dark matter with a quadratic potential undergoes fast oscillations when the time period represented by the mass scale in the Klein-Gordon equation becomes much smaller than that set by the Hubble parameter. This makes a solution to the equation numerically intractable. Many works in the literature have addressed the problem by either switching between solving the Klein-Gordon equation in the well-behaved regime to solving the fluid equations at the onset of oscillations, or by introducing a new set of variables that can absorb these oscillations. Despite being successful, these techniques rely on an estimate of when the oscillations start. For large scale scans of a model's parameter space, this can become cumbersome. Furthermore, the techniques have been used mainly for non-interacting dark matter models. In this work, we introduce an averaging technique with an automatic detection of the onset of oscillations, capable of capturing the non-interacting as well as the interacting dark matter scenarios. The technique, implemented in \texttt{CLASS}, is tested on the QCDM model and shows excellent detection and averaging abilities. We also update the cosmological constraints on the model using the most recent public data.
Comments28 pages, 6 figures and 3 tables
