A self-consistent-held model is developed which enables the calculatio
n of the interaction potential between two polymer-coated mesoscopic p
articles. We use a cylindrical coordinate system, in which the polymer
density profile can vary in both the radial and axial direction. Data
are presented for the free energy of interaction for two particles wi
th end-attached polymer chains in a good (athermal) solvent. The repul
sion is considerably weaker than predicted by converting the pair pote
ntial between flat plates to that between spheres, using Derjaguin's a
pproximation. This is explained by the greater freedom of the polymer
chains to move laterally out of the widening gap between the particles
as compared to polymer chains between flat surfaces.