古龙遗迹背景的地球物理约束
Geophysical constraint on a relic background of the dilatons
摘要：
根据弦宇宙学的一个设想，一个遗留下来的轻介子背景可能是宇宙中暗物质的重要组成部分。在以前的工作中，我提出了一种通过观测地球表面引力来寻找这种电子背景的新方法。本文简要回顾了地球物理搜索的概念，并提出了作为介子耦合强度$q_b^2$的函数的对介子背景的地球物理约束。为了简单起见，我把重点放在无质量的光子上，并假设一个简单的地球模型。利用当前的$q_b^2$上限，我们得到了无质量背景的无量纲能量密度的上限$Ω_{DW}h^2_{100} \leq 6 \times 10^{-7}$，它比天体物理观测的结果严格一个数量级，频率为$\sim$ 7 $\times$ 10 $^{-5}$ Hz.如果实验发现$q_b^2$的震级比当前的上限小一个数量级，那么$Ω_{DW}h^2_{100}$的地球物理上限就会变得不那么严格，并且与天体物理观测获得的上限相当。
英文摘要：
According to a scenario in string cosmology, a relic background of light dilatons can be a significant component of the dark matter in the Universe. A new approach of searching for such a dilatonic background by observing Earth's surface gravity was proposed in my previous work. In this paper, the concept of the geophysical search is briefly reviewed, and the geophysical constraint on the dilaton background is presented as a function of the strength of the dilaton coupling, $q_b^2$. For simplicity, I focus on massless dilatons and assume a simple Earth model. With the current upper limit on $q_b^2$, we obtain the upper limit on the dimensionless energy density of the massless background, $Ω_{DW}h^2_{100} \leq 6 \times 10^{-7}$, which is about one-order of magnitude more stringent than the one from astrophysical observations, at the frequency of $\sim$ 7 $\times$ 10$^{-5}$ Hz. If the magnitude of $q_b^2$ is experimentally found to be smaller than the current upper limit by one order of magnitude, the geophysical upper limit on $Ω_{DW}h^2_{100}$ becomes less stringent and comparable to the one obtained from the astrophysical observations.
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