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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.
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Preprints, Working Papers, ...
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Contributor : Michel Lion Connect in order to contact the contributor
Submitted on : Wednesday, July 19, 2006 - 2:42:32 PM
Last modification on : Tuesday, May 10, 2022 - 3:44:45 PM

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



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