arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1012.0805astro-ph.HEastro-ph.GA
收藏

来自离散随机源的Cosmic ray电子和正电子

Cosmic ray electrons and positrons from discrete stochastic sources

Philipp Mertsch

摘要:

银河系宇宙射线电子和正电子可以传播的距离受到能量损失的严重限制,最多只有几千秒差距,从而使本地光谱对我们银河系附近源的确切分布非常敏感。然而,由于我们不知道确切的源分布,我们只能预测频谱随机性。我们认为,即使在大量的源的情况下,中心极限定理是不适用的,但标准偏差的流量从随机源是发散的,由于一个长的幂律尾的概率密度。相反,我们计算的期望值和周围的概率密度的分位数,使用广义中心极限定理在一个完全分析的方式来计算它的分散。的不确定性带是不对称的期望值,可以成为相当大的TeV能量。特别是,预测的本地频谱是勉强符合费米-LAT和HESS的测量,即使没有施加在源的频谱中断或截止。我们的结论是,这种不确定性必须适当占预测电子通量超过几百GeV的天体物理来源时。

英文摘要:

The distances that galactic cosmic ray electrons and positrons can travel are severely limited by energy losses to at most a few kiloparsec, thereby rendering the local spectrum very sensitive to the exact distribution of sources in our galactic neighbourhood. However, due to our ignorance of the exact source distribution, we can only predict the spectrum stochastically. We argue that even in the case of a large number of sources the central limit theorem is not applicable, but that the standard deviation for the flux from a random source is divergent due to a long power law tail of the probability density. Instead, we compute the expectation value and characterise the scatter around it by quantiles of the probability density using a generalised central limit theorem in a fully analytical way. The uncertainty band is asymmetric about the expectation value and can become quite large for TeV energies. In particular, the predicted local spectrum is marginally consistent with the measurements by Fermi-LAT and HESS even without imposing spectral breaks or cut-offs at source. We conclude that this uncertainty has to be properly accounted for when predicting electron fluxes above a few hundred GeV from astrophysical sources.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑