暗物质-重子相互作用的普适常数
A universal constant for dark matter-baryon interplay
摘要：
最近的研究指出，暗物质存在着一些粗略的标度关系，暗物质与重子之间存在着紧密的联系。但是，大部分的关系和紧密联系只能在星系中找到，而不能在星系团中找到。在这篇文章中，我们考虑了一个新的表达式，它可以在银河系和星系团尺度下描述暗物质-重子相互作用的性质。利用星系和星系团的观测资料，证明了在光学半径$r_o$内，$K=\bar{n}_D \bar{n}_Br_oV/v^4$几乎是一个常数，且与尺度无关，其中$\bar{n}_D$是平均暗物质数密度，$\bar{n}_B$是平均重子数密度，$v$是特征速度，$V$是相互作用体积.这将是暗物质和重子在星系和星系团尺度上的第一个普遍关系。我们期望这一结果是一个起点，以解释小尺度问题和星系中的暗物质的标度关系。发现的$K$常数可能揭示了暗物质和重子之间的一些潜在的全球相互作用。
英文摘要：
Recent studies point out that there exists some rough scaling relations for dark matter and some tight connections between dark matter and baryons. However, most of the relations and tight connections can only be found in galaxies, but not in galaxy clusters. In this article, we consider a new expression that can characterize the properties of dark matter-baryon interplay for both galactic and galaxy cluster scales. By using the archival observational data of galaxies and galaxy clusters, we show that the value $K=\bar{n}_D \bar{n}_Br_oV/v^4$ is almost a constant and scale independent within the optical radius $r_o$, where $\bar{n}_D$ is the average dark matter number density, $\bar{n}_B$ is the average baryon number density, $v$ is the characteristic velocity and $V$ is the interacting volume. This would be the first universal relation between dark matter and baryons on both galactic and galaxy cluster scales. We anticipate this result to be a starting point to explain the small-scale problem and the scaling relations for dark matter in galaxies. The constant $K$ discovered may reveal some underlying global interaction between dark matter and baryons.
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