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Many supermassive black holes (SMBH) of mass $10^{6\sim9}M_{\odot}$ areobserved at the center of each galaxy even in the high redshift ($z\approx7$)Universe. To explain the early formation and the common existence of SMBH, weproposed previously the SMBH formation scenario by the gravitational collapseof the coherent dark matter (DM) composed from the Bose-Einstein Condensed(BEC) objects. A difficult problem in this scenario is the inevitable angularmomentum which prevents the collapse of BEC. To overcome this difficulty, inthis paper, we consider the very early Universe when the BEC-DM acquires itsproper angular momentum by the tidal torque mechanism. The balance of thedensity evolution and the acquisition of the angular momentum determines themass of the SMBH as well as the mass ratio of BH and the surrounding dark halo(DH). This ratio turns out to be$M_{BH}/M_{DH}\approx10^{-3\sim-5}(M_{tot}/10^{12}\mathrm{M}_{\odot})^{-1/2}$assuming simple density profiles of the initial DM cloud. This estimate turnsout to be consistent with the observations at $z\approx0$ and $z\approx6$,although the data scatter is large. Thus the angular momentum determines theseparation of black and dark, \textsl{i.e. }SMBH and DH, in the original DMcloud.

Supermassive Black Holes from Bose-Einstein Condensed Dark Matter -- or Black and Dark Separation by Angular Momentum