A phenomenological estimate is derived such that the binding energies of di
mesons are expressed as combinations of masses of different mesons and bary
ons. The estimate is almost model-independent, the only major assumptions b
eing that the wave functions of the two light quarks in Lambda (c), Lambda
(b) and in the (c) over bar(c) over bar qq and (b) over bar(b) over bar qq
dimesons are very similar, and that for heavy quarks the QQ interaction is
half as strong as the Q (Q) over bar interaction. We get (b) over bar(b) ov
er bar qq (I = 0, J = 1) bound by about 100 MeV and (c) over bar(c) over ba
r qq unbound.