  A multispecies model of Calogero type in $D\geq 1$ dimensions is constructed.
The model includes harmonic, two-body and three-body interactions. Using the
underlying conformal SU(1,1) algebra, we find the exact eigenenergies
corresponding to a class of the exact global collective states. Analysing
corresponding Fock space, we detect the universal critical point at which the
model exhibits singular behaviour.
