星系自转曲线上不相关的速度和大小残差
Uncorrelated velocity and size residuals across galaxy rotation curves
摘要：
晚型星系的质量-速度-大小关系可归纳为质量和速度之间的独立关系（塔利-费舍尔关系），以及质量和大小之间的独立关系。这种行为与位于基本平面上的早期类型星系不同。我们研究了Tully-Fisher和质量-尺寸关系在观测（样本）和经验星系形成模型的基础上晕丰度匹配的耦合，旋转曲线拟合与流体动力学动机晕配置文件。我们系统地研究了Tully-Fisher残差$ΔV_r$和质量大小残差$ΔR$之间的相关系数作为测量速度的半径$r$的函数，从而提出了跨旋转曲线的$ΔV_r-ΔR$关系。除了重子质量占主导地位的$r \ll R_\text{eff}$外，我们发现任何$r$的数据或模型都没有显著的相关性。我们发现，这意味着一个固定的重子质量的星系大小和晕浓度（或晕质量）之间的关系，并提供证据反对的假设，星系和晕的比角动量成正比。最后，我们通过对旋转曲线的拟合，研究了重子和暗物质产生的$ΔV_r-ΔR$关系。这些组成部分之间的平衡说明了“磁盘晕阴谋”所需的没有整体的相关性。
英文摘要：
The mass--velocity--size relation of late-type galaxies decouples into independent correlations between mass and velocity (the Tully-Fisher relation), and between mass and size. This behaviour is different to early-type galaxies which lie on a Fundamental Plane. We study the coupling of the Tully-Fisher and mass-size relations in observations (the SPARC sample) and in empirical galaxy formation models based on halo abundance matching, and rotation curve fits with a hydrodynamically motivated halo profile. We systematically investigate the correlation coefficient between the Tully-Fisher residuals $ΔV_r$ and mass-size residuals $ΔR$ as a function of the radius $r$ at which the velocity is measured, and thus present the $ΔV_r-ΔR$ relation across rotation curves. We find no significant correlation in either the data or models for any $r$, aside from $r \ll R_\text{eff}$ where baryonic mass dominates. We show that this implies an anticorrelation between galaxy size and halo concentration (or halo mass) at fixed baryonic mass, and provides evidence against the hypothesis that galaxy and halo specific angular momentum are proportional. Finally, we study the $ΔV_r-ΔR$ relations produced by the baryons and dark matter separately by fitting halo profiles to the rotation curves. The balance between these components illustrates the "disk-halo conspiracy" required for no overall correlation.
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