Exact solutions for the mean field plus state-dependent pairing Hamiltonian

Feng Pan, Liaoning Normal University
J. P. Draayer, Louisiana State University
Lu Guo, Institute of Theoretical Physics Chinese Academy of Sciences


The nuclear mean field plus state-dependent pairing problem is studied by using the Bethe ansatz method. It is shown that the Hamiltonian can be expanded in terms of generators of the infinite-dimensional Lie algebra SU (2) without central extension. Exact solutions for excited energies and the corresponding eigenstates of the nuclear pairing problem are derived through the Bethe ansatz equations.