  Motivated by the concept of ideal mutual statistics, we study a multispecies
Calogero-Sutherland model in which the interaction parameters and masses
satisfy some specific relations. The ground state is exactly solvable if those
relations hold, both on a circle and on a line with a simple harmonic
potential. In the latter case, the one-particle densities can be obtained using
a generalization of the Thomas-Fermi method. We calculate the second virial
coefficients in the high temperature expansion for the pressure. We show that
the low-energy excitations are the same as those of a Gaussian conformal field
theory. Finally, we discuss similar relations between the statistics parameters
and charges for a multispecies anyon model in a magnetic field.
