Solvable gaudin models for higher rank symplectic algebras

Gerardo Ortíz, Rolando D. Somma, J. Dukelsky +1 more

J. Dukelsky, Sergio Lerma-Hernández, B. Errea +4 more

We first review the development of the Richardson-Gaudin exactly-solvable pairing models and then discuss several new models based on rank-two algebras and their applications to problems in nuclear structure.

Karol Grudziński, B. G. Wybourne

Emil A. Yuzbashyan

J. Dukelsky

J. Dukelsky, B. Errea, Sergio Lerma-Hernández +3 more

Exactly solvable models have played an important role in helping to elucidate the physics of strongly correlated systems. Recently, we have extended the Richardson-Gaudin (RG) models of SU(2) like particle pairing to higher rank algebras. In particular, we will discuss here the SO(8) RG model of proton-neutron pairing as a model of strong quartet correlations. The failure of proton-neutron BCS suggests that new approaches have to be developed to account for them.