Exact solutions for the mean field plus state-dependent pairing Hamiltonian
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 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.
This paper has been withdrawn.