# Generalized Richardson-Gaudin Nuclear Models

Abstract : 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.
Document type :
Preprints, Working Papers, ...

http://hal.in2p3.fr/in2p3-00086706
Contributor : Michel Lion <>
Submitted on : Wednesday, July 19, 2006 - 2:42:32 PM
Last modification on : Thursday, February 1, 2018 - 1:34:58 AM

### Citation

J. Dukelsky, V.G. Gueorguiev, P. van Isacker. Generalized Richardson-Gaudin Nuclear Models. 2004. ⟨in2p3-00086706⟩

Record views