Abstract
The variation of the size of two-body objects is investigated, as the separation energy approaches zero, with both long range potentials and short range potentials having a repulsive core. It is shown that long range potentials can also give rise to very extended systems. Except for the l = 0 state, the asymptotic laws differ according to the range of the potential. For short range potentials defined by two and three parameters, their sensitivity to the shape and length is studied. These ideas as well as the transition from the short to the long range regime for the l = 0 case are illustrated using the Kratzer potential.
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