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 positive selection antibody is preferably coupled to a particulate carrier, such as a microbead, to attach to the target component. The negative selection antibody forms a complex or conjugate with a contaminating component. In the positive separation, the particulate carrier is recovered in the axial passage of the float.