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arXiv 0710.4029astro-ph
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冷暗物质晕表面质量密度的分析模型--应用于MACHO微透镜光学深度

An analytical model of surface mass densities of cold dark matter haloes - with an application to MACHO microlensing optical depths

Janne Holopainen, Erik Zackrisson, Alexander Knebe, Pasi Nurmi, Pekka Heinamaki, Chris Flynn, Stuart Gill, Teresa Riehm

摘要:

冷暗物质(CDM)的情况下,一般预测存在的三轴暗物质晕,其中包含显着数量的子结构。然而,分析晕模型与平滑,球对称密度分布通常采用的建模光传播效应通过这样的对象。在本文中,我们通过比较实际N体晕的表面质量密度与Navarro,Frenk和White(1996)(NFW)提出的广泛使用的分析模型,解决了这种方法引入的偏差。我们在0.0 - 1.5的红移范围内进行分析。在团簇大小的晕中,我们发现三轴性可以引起晕表面质量密度的分散,最高可达sigma_+=+60%和sigma_-=-70%,其中1-sigma极限是相对于分析NFW模型给定值而言的。亚晕可以将该分散度增加到sigma_+=+70%和sigma_-=-80%。在星系大小的晕中,三轴散射可高达sigma_+=+80%和sigma_-=-70%,而在亚晕中,三轴散射值可变为sigma_+=+40%和sigma_-=-80%。我们提出了一个分析模型的表面质量密度散射作为一个函数的距离晕中心,晕红移和晕质量。的分析描述,使一个调查的可靠性与简化的晕模型得到的结果。此外,它还提供了将模拟表面密度散射添加到分析密度分布的方法。作为一个例子,我们讨论了我们的结果的影响,在CDM晕的MACHO微透镜光学深度的计算。

英文摘要:

The cold dark matter (CDM) scenario generically predicts the existence of triaxial dark matter haloes which contain notable amounts of substructure. However, analytical halo models with smooth, spherically symmetric density profiles are routinely adopted in the modelling of light propagation effects through such objects. In this paper, we address the biases introduced by this procedure by comparing the surface mass densities of actual N-body haloes against the widely used analytical model suggested by Navarro, Frenk and White (1996) (NFW). We conduct our analysis in the redshift range of 0.0 - 1.5. In cluster sized haloes, we find that triaxiality can cause scatter in the surface mass density of the haloes up to sigma_+ = +60% and sigma_- = -70%, where the 1-sigma limits are relative to the analytical NFW model given value. Subhaloes can increase this scatter to sigma_+ = +70% and sigma_- = -80%. In galaxy sized haloes, the triaxial scatter can be as high as sigma_+ = +80% and sigma_- = -70%, and with subhaloes the values can change to sigma_+ = +40% and sigma_- = -80%. We present an analytical model for the surface mass density scatter as a function of distance to the halo centre, halo redshift and halo mass. The analytical description enables one to investigate the reliability of results obtained with simplified halo models. Additionally, it provides the means to add simulated surface density scatter to analytical density profiles. As an example, we discuss the impact of our results on the calculation of microlensing optical depths for MACHOs in CDM haloes.

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