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We model the Galactic population of detached binaries that harbor black holeswith (0.5-1.7) solar mass companions -- the remnants of case B mass-exchangethat rapidly cross Hertzsprung gap after the termination of the Roche-lobeoverflow or as He-shell burning stars. Several such binaries can be currentlypresent in the Galaxy. The range of black hole masses in them is about 4 to 10solar ones, the orbital periods are tens to hundreds day. The unique BH-binaryLB-1 fits well into this extremely rare class of double stars.

Galactic population of black holes in detached binaries with low-mass stripped helium stars: the case of LB-1 (LS~V+22~25)