Mean-field plus various types of pairing models and an exact boson mapping of the standard pairing model

Feng Pan, Liaoning Normal University
Yin Wang, Liaoning Normal University
Xin Guan, Liaoning Normal University
Lu Jia, Liaoning Normal University
Xiang Rong Chen, Liaoning Normal University
J. P. Draayer, Louisiana State University


Exact solutions of Nilsson mean-field with various pairing interactions are reviewed. Some even-odd mass differences and moments of inertia of low-lying states for rare earth and actinide nuclei are calculated for the nearest-orbit pairing approximation as well as for the extended pairing model and compared to available experimental data. An exact boson mapping of the standard pairing Hamiltonian is also reported. Under the mapping, fermion pair operators are mapped exactly onto corresponding bosons. The image of the mapping is a Bose-Hubbard model with orbit-dependent hopping. © 2011 American Institute of Physics.