  It is shown that the Calogero-Moser models based on all root systems of the
finite reflection groups (both the crystallographic and non-crystallographic
cases) with the rational (with/without a harmonic confining potential),
trigonometric and hyperbolic potentials can be simply supersymmetrised in terms
of superpotentials. There is a universal formula for the supersymmetric ground
state wavefunction. Since the bosonic part of each supersymmetric model is the
usual quantum Calogero-Moser model, this gives a universal formula for its
ground state wavefunction and energy, which is determined purely algebraically.
Quantum Lax pair operators and conserved quantities for all the above
Calogero-Moser models are established.
