论文标题
对星系中核心物质密度分布的起源的分析分析
Analytical analysis of the origin of core-cusp matter density distributions in galaxies
论文作者
论文摘要
我们提出了一种分析方法，以描述银河系中心附近的物质密度谱。该描述基于对可能轨迹颗粒的分布函数的研究。我们建立了密度分布的中央斜率与角动量分布函数的近乎原始行为之间的关系。我们认为既有球形对称（平均）物质分布以及与之偏离的偏差。如果在球形重力电位的背景下形成密度曲线，则会出现核心型分布。如果深色物质形成了背景潜力，则可能会以这种方式行事。在与球形对称性偏差的情况下，可能形成了尖型分布。此外，将球形对称性减少到轴向的对称性导致尖端尖端不太陡峭。完整的对称破坏（特别是对应于数值模拟的常见设置），导致了较陡峭的尖缘曲线。
We propose an analytical method to describe a matter density profile near a galaxy center. The description is based on the study of the distribution function of particles over possible trajectories. We establish a relation between the central slope of density profile and the near-origin behavior of the angular momentum distribution function. We consider both a spherically symmetric (on average) matter distribution as well as deviations from it. If the density profile forms in a background of spherical gravitation potential then a core-type distribution arises. A regular matter may behave in such way if the background potential was formed by the dark matter. In the presence of deviation from spherical symmetry the formation of cusp-type distribution is possible. Moreover, a reduction of spherical symmetry to the axial one leads to a less steep cusp profile. The complete symmetry breaking (which corresponds, in particular, to the common setup of numerical simulations), leads to a steeper cusp profile.
