We discuss the extension of the Richardson‐Gaudin models along two lines. We £rst describe a new family of exactly solvable atom‐molecule Hamiltonians obtained by coupling a bosonic mode to the rational family. We then present the generalization of the Richardson‐Gaudin models to any simple Lie algebra. As an example of relevance to nuclear structure, we show the exact solution of the T=1 pairing Hamiltonian with non‐degenerate single‐particle energies. © 2004 American Institute of Physics