Rare cells are separated from a sample fluid by a positive selection or negative selection antibody by centrifuging in a tube containing a harvesting float. The harvesting float has an axial passage and a density to settle in the sample fluid and expand the layer of the target component. The antibody is preferably coupled to a particulate carrier, such as a microbead, to attach either the target component or a contaminating component to the particulate carrier. In the positive separation, the particulate carrier is recovered in the axial passage of the float.