Construction of Paired States in Axially Symmetric Nuclei

Zeng Jinyan; Lei Yian; Wu Wenqing

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2024年10月30日

Chinese Physics C> 1995, Vol. 19> Issue(S4) : 405-411

Construction of Paired States in Axially Symmetric Nuclei

Department of Physics, Peking University, Beijing, China

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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.
- axially symmetric nuclei ,
- monopole pair ,
- signature pair

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Zeng Jinyan, Lei Yian and Wu Wenqing. Construction of Paired States in Axially Symmetric Nuclei[J]. Chinese Physics C, 1995, 19(S4): 405-411.

Zeng Jinyan, Lei Yian and Wu Wenqing. Construction of Paired States in Axially Symmetric Nuclei[J]. Chinese Physics C, 1995, 19(S4): 405-411. shu

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Received: 1994-08-08

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Construction of Paired States in Axially Symmetric Nuclei

Department of Physics, Peking University, Beijing, China

Received Date: 1994-08-08

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.