New algebraic approach for an exact solution of the nuclear mean-field plus 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 separable orbit-dependent pairing Hamiltonian. As examples, some low-lying levels, spectroscopic factors, and even-odd mass differences of 58-65 Ni isotopes are calculated and compared with experimental values, shell model, and equal strength pairing results. Some limiting cases of the model Hamiltonian are also discussed. © 1998 Elsevier Science B.V. All rights reserved.