Within the context of the lowest order approximation to the calculatio
n of the n-body bound state in the Hyperspherical Harmonic Expansion M
ethod, the hypercentral potential may be determined from n-body spectr
al data. Previously, we showed how the two-body force can be determine
d exactly from the hypercentral potential in the absence of three-body
forces. In this paper, we investigate to what extent the three-body f
orce can be determined if the two-body force is assumed to be known. F
or this purpose, a three-quark system is considered.