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VOL. 12 | 2011 Richardson-Gaudin Algebras and the Exact Solutions of the Proton-Neutron Pairing
Vesselin G. Gueorguiev, Jorge Dukelsky

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka


Many exactly solvable models are based on Lie algebras. The pairing interaction is important in nuclear physics and its exact solution for identical particles in non-degenerate single-particle levels was first given by Richardson in 1963. His solution and its generalization to Richardson-Gaudin quasi-exactly solvable models have attracted the attention of many contemporary researchers and resulted in the exact solution of the isovector pn-pairing within the SO(5) RG-model and the equal strength spin-isospin pn-pairing within the SO(8) RG-model. Basic properties of the RG-models are summarized and possible applications to nuclear physics are emphasized.


Published: 1 January 2011
First available in Project Euclid: 13 July 2015

zbMATH: 1382.81217
MathSciNet: MR3087985

Digital Object Identifier: 10.7546/giq-12-2011-226-236

Rights: Copyright © 2011 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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