New exact solutions of the standard pairing model for well-deformed nuclei

• DOI: 10.1103/physrevc.80.044306
• Publication Date: 2009-10-12T10:34:22Z
• Authors: Feng Pan; Ming-Xia Xie; Xin Guan; Lian-Rong Dai; J. P. Draayer
• Keywords: Bethe ansatz; Ansatz

A new step-by-step diagonalization procedure for evaluating exact solutions of the nuclear deformed mean-field plus pairing interaction model is proposed via a simple Bethe ansatz in each step from which eigenvalues and corresponding eigenstates can be obtained progressively. This approach draws upon an observation that original one- two-body problem $k$-particle Hilbert subspace mapped onto one-body grand hard-core boson picture solved by with known earlier work. Based on this procedure, it further shown extended nuclei [Feng Pan, V. G. Gueorguiev, J. P. Draayer, Phys. Rev. Lett. 92, 112503 (2004)] similar to standard first approximation, only lowest energy eigenstate pure part taken into consideration. Our analysis shows approximation displays pair structures few low-lying states model, which, therefore, provides link between two models.