倾斜冷暗物质谱与宇宙中可观测结构

为了缓解标准冷暗物质模型在解释一些观测现象时所遇到的困难，本文考察了倾斜冷暗物质谱模型。在ＢＢＫＳ原初扰动场统计理论的基础上，本文根据天体质量函数的计算公式和背景－天体相互作用的估计方法，计算了星系群和星系团的质量函数，并与最新观测质量函数作了对比，又分析和计算了在各种空洞尺度上天体密度的变化。计算结果表明，倾斜冷暗物质谱模型在与ＣＯＢＥ卫星观测结果相容的前提下，能在上述两个方面缓解标准冷暗物质模型所遇到的困难。

Tilted CDM Spectrum and the Observable Structure in the Universe

In order to solve many difficulties faced by the standard CDM model for structure formation,we examine a tilted density fluctuation spectrum.Based upon the theoretical formula for the mass function and the evaluation method of the background object interaction for void formation, both derived from BBKS,we calculate the mass function for clusters and groups of galaxies and compare it with the observed one given by Bahcall et al.We also analyze and calculate the density contrast in big voids. The results show that a tilted CDM model can fit the observations much better than the standard CDM model.