Exact solution of the orbit-dependent pairing Hamiltonian

Feng Pan, Louisiana State University
J. P. Draayer, Louisiana State University


An infinite-dimensional algebraic approach is introduced to derive exact particle-number conserving solutions of the nuclear mean-field plus orbit-dependent pairing Hamiltonian. As an example, exact solutions of a model Hamiltonian for ds-shell nuclei are compared with shell-model and equal strength pairing calculations for 18-26O isotopes.