full trigonometric three-body interaction

Using an appropriate set of variables, the hamiltonian of the full three-bodyproblem of calogero-sutherland type including two and three-body interactionsis shown to be a laplace-beltrami differential operator. its eigenfunctions arethen expressed in term of jack polynomials. the wave functions for distin-guishable, fermionic and bosonic particles are reviewed and the correspondencebetween all possible partitions and occupation numbers in the fock space isexhibited. the exact energies due to each type of interactions are expressed.the hidden algebras are exhibited.