Generalized Richardson-Gaudin Nuclear Models

Dukelsky, J.; Gueorguiev, V. G.; Van Isacker, P.

Generalized Richardson-Gaudin Nuclear Models

Authors

Dukelsky, J.

Gueorguiev, V. G.

Van Isacker, P.

Description

The exact solvability of several nuclear models with non-degenerate single-particle energies is outlined and leads to a generalization of integrable Richardson-Gaudin models, like the $su(2)$-based fermion pairing, to any simple Lie algebra. As an example, the $so(5)\sim sp(4)$ model of T=1 pairing is discussed and illustrated for the case of $^{64}$Ge with non-degenerate single-particle energies.