Construction of Paired States in Axially Symmetric Nuclei

Abstract：

The construction of paired states of a quantum many-particle system is intimately connected with its symmetry. In the cranked shell model of axially symmetric nuclei, three possible forms of paired states can be constructed (i.e., monopole pair, ±Ω pair, and signature pair), which are the simultaneous eigenstates of (J², J₃, J³)and(J₃², R₁(π)), respectively. When only the pairing interaction is considered (ω=0), the energy spectra obtained are the same for the three types of pairing interactions. When the system is cranked (ω≠0), owing to different behavior of the paired states under rotation, the co variation of the spectra and related properties of the system may be different to some extent.