质量差-加速度关系：一个普遍的最大暗物质加速度和对超轻标量场暗物质模型的影响
The mass discrepancy-acceleration relation: a universal maximum dark matter acceleration and implications for the ultra-light scalar field dark matter model
摘要：
最近对具有非常不同的恒星性质的大样本星系的旋转曲线的分析揭示了纯粹由于重子物质的径向加速度与直接从观测到的旋转曲线推断的径向加速度之间的关系。假设暗物质（DM）存在，这种加速度关系相当于DM和重子之间的加速度关系。这使我们对所有的晕有一个普遍的最大加速度。使用后者在DM配置文件，预测内核意味着中央表面密度$μ_{DM} = ρ_s r_s$必须是一个普遍的常数，如以前的研究所建议的选定的星系，揭示了很强的相关性之间的密度$ρ_s$和规模$r_s$参数在每个配置文件。然后，我们探讨的超轻标量场暗物质模型（SFDM）的上下文中的$μ_{DM}$的恒定性的后果。我们发现，对于这个模型$μ_{DM} = 648 \, M_\odot {\rm pc}^{-2}$，所谓的波DM孤子配置文件应该是一个普遍的功能DM晕。通过与银河系和仙女座卫星观测数据的比较，我们发现它们与$10^{-21} \, {\rm eV}/c^2$量级的标量场粒子的玻色子质量是一致的，这使得SFDM模型与最近的宇宙学约束相一致。
英文摘要：
Recent analysis of the rotation curves of a large sample of galaxies with very diverse stellar properties reveal a relation between the radial acceleration purely due to the baryonic matter and the one inferred directly from the observed rotation curves. Assuming the dark matter (DM) exists, this acceleration relation is tantamount to an acceleration relation between DM and baryons. This leads us to a universal maximum acceleration for all halos. Using the latter in DM profiles that predict inner cores implies that the central surface density $μ_{DM} = ρ_s r_s$ must be a universal constant, as suggested by previous studies in selected galaxies, revealing a strong correlation between the density $ρ_s$ and scale $r_s$ parameters in each profile. We then explore the consequences of the constancy of $μ_{DM}$ in the context of the ultra-light scalar field dark matter model (SFDM). We find that for this model $μ_{DM} = 648 \, M_\odot {\rm pc}^{-2}$, and that the so-called WaveDM soliton profile should be an universal feature of the DM halos. Comparing with data from the Milky Way and Andromeda satellites, we find that they are consistent with a boson mass of the scalar field particle of the order of $10^{-21} \, {\rm eV}/c^2$, which puts the SFDM model in agreement with recent cosmological constraints.
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