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arXiv 1909.09052astro-ph.HEhep-ph
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准线性理论中的Cosmic Ray小尺度各向异性

Cosmic Ray Small-Scale Anisotropies in Quasi-Linear Theory

Philipp Mertsch, Markus Ahlers

摘要:

宇宙射线到达方向的分布是显著的各向同性,这是它们在磁场中反复散射的结果。然而,像IceCube和HAWC这样的高统计观测站已经揭示了在数百TeV的10,000分之一的水平上存在小尺度结构,这在宇宙射线的典型扩散模型中是不期望的。我们跟进的建议,这些小规模的各向异性是宇宙射线流在一个特定的实现的湍流磁场在我们当地的银河系附近的几个散射长度。到目前为止,这一假设主要是通过在湍流磁场中跟踪测试粒子来进行数值研究的。对于第一次,我们提出了一个分析计算,通过微扰的方法,可以预测宇宙射线到达方向的角功率谱为一个给定的湍流模型。我们说明了这种方法的一个简单的,各向同性的湍流模型,我们发现显着的协议与数值研究的结果。

英文摘要:

The distribution of arrival directions of cosmic rays is remarkably isotropic, which is a consequence of their repeated scattering in magnetic fields. Yet, high-statistics observatories like IceCube and HAWC have revealed the presence of small-scale structures at levels of 1 part in 10,000 at hundreds of TeV, which are not expected in typical diffusion models of cosmic rays. We follow up on the suggestion that these small-scale anisotropies are a result of cosmic ray streaming in a particular realisation of the turbulent magnetic field within a few scattering lengths in our local Galactic neighbourhood. So far, this hypothesis has been investigated mostly numerically, by tracking test particles through turbulent magnetic fields. For the first time, we present an analytical computation that through a perturbative approach allows predicting the angular power spectrum of cosmic ray arrival directions for a given model of turbulence. We illustrate this method for a simple, isotropic turbulence model and we find remarkable agreement with the results of numerical studies.

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