Construction of Paired States in Axially Symmetric Deformed Nuclei

Zeng Jinyan; Lei Yian; Wu Wenqing

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2024年10月30日

Chinese Physics C> 1995, Vol. 19> Issue(9) : 834-839

Construction of Paired States in Axially Symmetric Deformed Nuclei

Physics Department, Peking University , Beijing 100871

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Abstract：
The construction of a paired state of a quantum many-particle system is closely connected with its symmetry. There are three types of construction of paired state in axially symmetric deformed nucleus, i. e., monopole pair, ±Ω pair and signature pair, which are the eigenstates of (J², J₃), J₃, and (J₃², R₁(π)), respectively.When only the pairing force is involved, the energy spectra of all three pairing Hamiltonian are identical. However, in the case of Cranked Shell Model, since the three types of paired states behave differently under space rotation, the energy spectra and the w variation of other relevant features differ to certain extent.

References

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Zeng Jinyan, Lei Yian and Wu Wenqing. Construction of Paired States in Axially Symmetric Deformed Nuclei[J]. Chinese Physics C, 1995, 19(9): 834-839.

Zeng Jinyan, Lei Yian and Wu Wenqing. Construction of Paired States in Axially Symmetric Deformed Nuclei[J]. Chinese Physics C, 1995, 19(9): 834-839. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Construction of Paired States in Axially Symmetric Deformed Nuclei

Corresponding author: Zeng Jinyan,

Physics Department, Peking University , Beijing 100871

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-09-05

Abstract: The construction of a paired state of a quantum many-particle system is closely connected with its symmetry. There are three types of construction of paired state in axially symmetric deformed nucleus, i. e., monopole pair, ±Ω pair and signature pair, which are the eigenstates of (J², J₃), J₃, and (J₃², R₁(π)), respectively.When only the pairing force is involved, the energy spectra of all three pairing Hamiltonian are identical. However, in the case of Cranked Shell Model, since the three types of paired states behave differently under space rotation, the energy spectra and the w variation of other relevant features differ to certain extent.