Bound states in the strong coupling limit

The author shows that the number of bound states of a particle in a short-range potential in n dimensions is given asymptotically by N=g /sup n/2/S/sub n//(2 pi )/sup n/ integral mod 2MV/sup -//h(cross)/sup 2/ mod /sup n/2/d/sup n/x+0(g/sup n/2-g/) for g to infinity , where gV /sup -/ is the attractive part of the potential, and S/sub /n is the volume of the n dimensional sphere with unit radius. (10 refs).