Elliptical, lenticular, and early-type spiral galaxies show a remarkably tight power-law correlation between the mass M ? of their central supermassive black hole (SMBH) and the number N GC of globular clusters (GCs): M ? = m ?/ × N 1.08±0.04 GC with m ?/ = 1.7 × 105 M ☉. Thus, to a good approximation the SMBH mass is the same as the total mass of the GCs. Based on a limited sample of 13 galaxies, this relation appears to be a better predictor of SMBH mass (rms scatter 0.2?dex) than the M ?-σ relation between SMBH mass and velocity dispersion σ. The small scatter reflects the fact that galaxies with high GC specific frequency SN tend to harbor SMBHs that are more massive than expected from the M ?-σ relation.
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机译：椭圆形，双凸透镜和早期类型的旋涡星系在质量M？之间显着紧密的幂律相关性。中心超大质量黑洞（SMBH）和球状星团（GCs）的数目N GC：M？ ＝ m / N×1.08±0.04GC，m // ＝ 1.7×105M☉。因此，SMBH质量与GC的总质量大致相同。根据有限的13个星系样本，该关系似乎比SMBH质量与速度色散σ的Mα-σ关系更好地预测了SMBH质量（均方根散射0.2？dex）。较小的散布反映了这样一个事实，即具有较高GC特定频率SN的星系倾向于包含SMBH，其质量比Mα-σ关系所期望的要大。
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