Exact solutions of mean-field plus various pairing interactions and shape phase transitions in nuclei

Feng Pan, Liaoning Normal University
Xin Guan, Liaoning Normal University
Lian Rong Dai, Liaoning Normal University
Yu Zhang, Liaoning Normal University
Jerry P. Draayer, Louisiana State University


The exact solutions of either spherical or deformed mean-field plus various types of pairing models are briefly reviewed. It is shown that, besides the standard pairing model, there are several special types of pairing interaction that can be solved exactly. In comparison to the standard pairing, the results of several pairing-driven quantities, such as pairing excitation energies, even–odd mass differences, the moment of inertia, etc., show that these types of pairing interaction can indeed be used to describe pairing correlations in nuclei either more accurately or efficiently. Moreover, the shape phase transitional behaviors of nuclei described by the consistent-Q formalism of the interacting boson model are summarized.