  We show how the two-body potential may be uniquely determined from n-body
spectra where the hypercentral approximation is valid. We illustrate this by
considering an harmonic oscillator potential which has been altered by changing
the energy or normalisation constant of the ground state of the n-body system
and finding how this modifies the two-body potential. It is shown that with
increasing number of particles the spectrum must be known more precisely to
obtain the two-body potential to the same degree of accuracy.
