Generalized Richardson-Gaudin Nuclear Models

Grand Acc´el´erateur National d’Ions Lourds, BP 55027, F-14076 Caen Cedex 5, France(Dated: February 8, 2008)The exact solvability of several nuclear models with non-degenerate single-particle energies isoutlined and leads to a generalization of integrable Richardson-Gaudin models, like the su(2)-basedfermion pairing, to any simple Lie algebra. As an example, the so(5) ∼ sp(4) model of T = 1 pairingis discussed and illustrated for the case of