M - sigma relation between SMBHs and the velocity dispersion of globular cluster systems

摘要

We find evidence that the mass MBH of central supermassive black holes(SMBHs) correlates with the velocity dispersion sigma_GC of globular clustersystems of their host galaxies. This extends the well-known MBH - sigma_sphrelation between black hole mass and velocity dispersion of the host spheroidalcomponent. We compile published measurements of both MBH and sigma_GC for asample of 13 systems and find the relation log(MBH) = alpha + betalog(sigma_GC/200) with alpha = 8.63 \pm 0.09 and beta = 3.76 \pm 0.52. We alsoconsider blue (metal-poor) and red (metal-rich) globular clusterssub-populations separately and obtain a surprisingly tight correlation usingonly the velocity dispersion sigma_GC^red of the red clusters with alpha = 8.73\pm 0.09 and beta = 3.84 \pm 0.52 and an intrinsic scatter eps_0 = 0.22 dexcompared to eps_0 = 0.27 dex for the MBH - sigma_sph of our sample. We use ourMBH - sigma_GC relation to estimate the central black hole mass in fivegalaxies for which sigma_GC^red is measured.