  There have been reports of possible detections of intermediate-mass black
holes (IMBHs) in globular clusters (GCs). Empirically, there exists a tight
correlation between the central supermassive black hole (SMBH) mass and the
mean velocity dispersion of elliptical galaxies, "pseudobulges" and classical
bulges of spiral galaxies. We explore such a possible correlation for IMBHs in
spherical GCs. In our model of self-similar general polytropic quasi-static
dynamic evolution of GCs, a criterion of forming an IMBH is proposed. The key
result is M(BH) = L o^1/(1-n) where M(BH) is the IMBH mass, o is the GC mean
stellar velocity, L is a coefficient, and 2/3 < n < 1.
