The action–angle dual of an integrable Hamiltonian system of Ruijsenaars–Schneider–van Diejen type
Integrable deformations of the hyperbolic and trigonometric BCn Sutherland
models were recently derived via Hamiltonian reduction of certain free
systems on the Heisenberg doubles of SU(n, n) and SU(2n) respectively.
As a step towards constructing action–angle variables for these models,
we here apply the same reduction to a different free system on the double
of SU(2n), and thereby obtain a novel integrable many-body model of
Ruijsenaars–Schneider–van Diejen type that is in action–angle duality with
the respective deformed Sutherland model.