Light halo dark matter (DM) particles upscattered by high-energy cosmic rays (CRs) can be energetic, and become detectable by conventional direct detection experiments. The current constraints derived from space-based direct CR measurements can reach $\mathcal{O}({10}^{-31}){\text{ cm}}^2$ for a constant DM-nucleon scattering cross section. We show that if the CR energy spectrum follows a power law of type $\sim E^{-3}$, the derived constraints on the scattering cross section will be highly insensitive to DM particle mass. This suggests that ultrahigh-energy CRs (UHECRs) indirectly measured by ground-based detectors can be used to place constraints on ultralight DM particles, as $E^{-3}$ is a very good approximation of the UHECR energy spectrum up to energy $\sim {10}^{20}\text{ eV}$. Using the recent UHECR flux data, we show that the current constraints derived from space-based CR measurements can in principle be extended to ultralight DM particles far below eV scale.

被高能宇宙射线 (CR) 向上散射的光晕暗物质 (DM) 粒子可以是充满能量的，并且可以通过传统的直接检测实验进行检测。来自天基直接 CR 测量的电流限制可以达到$\mathcal{哦}({10}^{-31}){\text{ 厘米}}^2$对于恒定的 DM 核子散射截面。我们表明，如果 CR 能谱遵循类型的幂律$～{乙}^{-3}$，散射截面上的派生约束将对 DM 粒子质量高度不敏感。这表明由地面探测器间接测量的超高能 CR (UHECR) 可用于对超轻 DM 粒子施加限制，如${乙}^{-3}$ 是 UHECR 能谱的一个非常好的近似值 $～{10}^{20}\text{ 电动汽车}$. 使用最近的 UHECR 通量数据，我们表明从基于空间的 CR 测量得出的当前限制原则上可以扩展到远低于 eV 尺度的超轻 DM 粒子。