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arXiv 2205.03392astro-ph.COastro-ph.GAhep-ph
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具有微分弹性散射的暗物质晕的重力热演化

Gravothermal evolution of dark matter halos with differential elastic scattering

Daneng Yang, Hai-Bo Yu

摘要:

我们研究的重力热演化的暗物质晕中存在的微分自散射,具有很强的速度和角度的依赖性。我们设计控制N体模拟模型卢瑟福和莫勒散射的光环,并遵循其演变的核心膨胀和崩溃阶段。模拟结果表明,常用的转移截面低估了暗物质自相互作用的影响,但粘性截面提供了一个精确的近似建模角相关的暗物质散射。我们研究了晕的热力学性质,发现在流体近似下玻尔兹曼方程的三阶矩满足。我们进一步提出了一个恒定的有效截面,它集成了晕的特征速度分散与加权内核的动力学理论的热传导。有效的截面提供了一个很好的近似微分自散射的晕演化。这表明,我们可以映射的天体物理约束的恒定的自相互作用截面的SIDM模型与速度和角度相关的散射。

英文摘要:

We study gravothermal evolution of dark matter halos in the presence of differential self-scattering that has strong velocity and angular dependencies. We design controlled N-body simulations to model Rutherford and Moller scatterings in the halo, and follow its evolution in both core-expansion and -collapse phases. The simulations show the commonly-used transfer cross section underestimates the effects of dark matter self-interactions, but the viscosity cross section provides an accurate approximation for modeling angular-dependent dark matter scattering. We investigate thermodynamic properties of the halo, and find that the three moments of the Boltzmann equation under the fluid approximation are satisfied. We further propose a constant effective cross section, which integrates over the halo's characteristic velocity dispersion with weighting kernels motivated by kinetic theory of heat conduction. The effective cross section provides a good approximation to differential self-scattering for most of the halo evolution. It indicates that we can map astrophysical constraints on a constant self-interacting cross section to an SIDM model with velocity- and angular-dependent scatterings.

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