论文标题
建模SPARC螺旋星系的旋转曲线的比较：光环模型与MOND
Comparison of Modeling SPARC spiral galaxies' rotation curves: halo models vs MOND
论文作者
论文摘要
我们研究了由SPARC（Spitzer光度法和准确的旋转曲线）数据库组成的45个非纤维螺旋星系组成的旋转曲线的子样本，并使用两个暗光晕模型（NFW和Burkert）并修改了Newtonian Dynamics（Mond）理论。在这三个模型中，核心主导的Burkert Halo模型比Navarro，Frenk和White（NFW，$χ_ν^2 $ = 0.45）和MOND模型（$χ_ν^2 $ = 0.58），对观察到的数据（$χ_ν^2 $ = 0.33）提供了更好的描述。因此，我们的结果表明，对于深色光环模型，所选的45 HSB非阳性螺旋星系更喜欢圆锥形的密度曲线，而不是Cuspy One（NFW）。 我们还积极地发现，Burkert模型中$ρ_0$和$ R_0 $之间存在相关性。 对于Mond Fits来说，当我们将$ A_0 $作为免费参数时，$ A_0 $与磁盘中央表面亮度之间没有明显的相关性，其中这些HSB螺旋星系为3.6 $μm，这与Mond的基本假设一致，即$ A_0 $应该是通用的常数。 有趣的是，我们的配件给出了$ a_0 $的平均值（0.74 \ pm 0.45）\ times 10^{ - 8} \ rm {cm \ s^{ - 2}} $，如果我们排除了样本中的三个最高值，该值小于标准值（$ 1.21 \ times 10^times 10^times 10^{ - 8} { - 8} { - 8} {-8} {c。 2}} $）。
We investigate a sub-sample of the rotation curves consisting of 45 HSB non-bulgy spiral galaxies selected from SPARC (Spitzer Photometry and Accurate Rotation Curves) database by using two dark halo models (NFW and Burkert) and MOdified Newtonian Dynamics (MOND) theory. Among these three models, the core-dominated Burkert halo model provides a better description of the observed data ($χ_ν^2$ = 0.33) than Navarro, Frenk and White (NFW, $χ_ν^2$= 0.45) and MOND model ($χ_ν^2$ = 0.58). So our results show that, for dark halo models, the selected 45 HSB non-bulgy spiral galaxies prefer a cored density profile to the cuspy one (NFW); We also positively find that there is a correlation between $ρ_0$ and $r_0$ in Burkert model. For MOND fits, when we take $a_0$ as a free parameter, there is no obvious correlation between $a_0$ and disk central surface brightness at 3.6 $μm$ of these HSB spiral galaxies, which is in line with the basic assumption of MOND that $a_0$ should be a universal constant. Interestingly, our fittings gives $a_0$ an average value of $(0.74 \pm 0.45) \times 10^{- 8}\rm {cm\ s^{- 2}}$ if we exclude the three highest values in the sample, which is smaller than the standard value ($1.21 \times 10^{-8}\rm {cm\ s^{- 2}}$).
