On the solution of the Calogero model for distinguishable particles in the domain of intermediate statistics Original Research Article

The Calogero model is reconsidered in the domain ν ϵ [0, 1] of intermediate statistics. The 3-body Calogero problem is solved by separation of variables for arbitrary exchange symmetries. A numerical computation of the 4-body spectrum is also presented. The results display new features in comparison with the standard case of bosons and fermions, for instance the energies are not linear with the interaction parameter ν and the Bethe ansatz is not verified.