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We apply a recently introduced reduction procedure based on the embedding ofnon-crystallographic Coxeter groups into crystallographic ones toCalogero-Moser systems. For rational potentials the familiar generalizedCalogero Hamiltonian is recovered. For the Hamiltonians of trigonometric,hyperbolic and elliptic type, we obtain novel integrable dynamical systems witha second potential term which is rescaled by the golden ratio. We explicitlyshow for the simplest of these non-crystallographic models how thecorresponding classical equations of motion can be derived from a Lie algebraicLax pair based on the larger, crystallographic Coxeter group.Comment: 21 page

Non-crystallographic reduction of generalized Calogero–Moser models