Bound State of Dimers on a Spherical Surface

The study of particle motion on spherical surfaces is relevant to adsorption on buckyballs and other solid particles. This paper reports resugts for the binding energy of such dimers, consisting of two light particles (He atoms or hydrogen molecules) constrained to move on a spherical surface. The binding energy reaches a particularly large value when the radius of the sphere is about 3/4 of the particles' diameter.