Analytic prediction for the centrifugal barrier. The radius R _T where mass accumulates as a function of the maximum rotation velocity of star clusters of mass M _NSC = 3.3 × 10 ⁸  M _☉ and central SMBH of mass M _SMBH = 10 ⁶  M _☉, for different star cluster radius. The squares represent the reference model (model 2) and model 4; see Table 1.