Journal of Physics A Mathematical and General
Exact solutions for the mean field plus state-dependent pairing Hamiltonian
Feng Pan, Jerry Paul Draayer, Lu Guo
Abstract
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 without central extension. Exact solutions for excited energies and the corresponding eigenstates of the nuclear pairing problem are derived through the Bethe ansatz equations.