We study the dark matter (DM) surface density using the SPARC sample and compare it to Donato et al. (2009) result. By means of MCMC method, we infer the best-fitting parameters for each galaxy. We reobtain the scaling relation between the surface density and luminosity, and several other scaling laws relating the dark matter halo properties to that of the galactic disc properties. We conclude, in contrast with Donato et al. (2009), that the dark matter surface density is not a universal (constant) quantity but correlates with the luminosity as well as with other galactic disc properties. A derived posterior probability distribution of ${\rho }_0{r}_0$ shows that the null hypothesis of constancy is rejected at a very high confidence level. These results leave little room for the claimed universality of dark matter surface density. Since MOND has strong prediction on the surface density (Milgrom, 2009), we compared our result with those predictions, finding that MOND predictions are violated by data. To strengthen the previous result, we compared our results to another prediction of MOND (Milgrom and Sanders, 2005), the existence of a maximum Newtonian dark matter acceleration in the halo. Also in this case, MOND predictions are in contradiction with data. The dark matter Newtonian acceleration correlates with all the previously presented galactic disc properties, and data are distributed outside the bound predicted by Milgrom and Sanders (2005). We also find that the null hypothesis (constancy of DM Newtonian acceleration) is rejected at a very high confidence level.

我们使用SPARC样本研究了暗物质（DM）的表面密度，并将其与Donato等人进行了比较。（2009）结果。通过MCMC方法，我们推断出每个星系的最佳拟合参数。我们重新获得了表面密度和光度之间的比例关系，以及其他一些将暗物质光晕特性与银盘特性相联系的比例定律。我们得出结论，与Donato等人相反。（2009），暗物质表面密度不是一个普遍的（恒定）数量，而是与光度以及银河盘的其他特性相关。的后验概率分布${\rho }_0{\mathrm{[R}}_0$证明了恒定性的零假设在很高的置信度下被拒绝。这些结果为暗物质表面密度的普遍性留下了很少的空间。由于MOND对表面密度具有很强的预测能力（Milgrom，2009年），因此我们将我们的结果与这些预测值进行了比较，发现MOND预测值被数据所违反。为了增强先前的结果，我们将我们的结果与MOND的另一个预测（Milgrom和Sanders，2005年）进行了比较，即光晕中存在最大的牛顿暗物质加速度。同样在这种情况下，MOND的预测与数据矛盾。暗物质牛顿加速度与所有先前呈现的银河盘性质相关，并且数据分布在Milgrom和Sanders（2005）预测的范围之外。