Particle-Number Conserving Calculation of the Bandhead Moments of Inertia of Identical SD Bands

Jin Taihao; Zhao Zhengji; Zeng Jinyan

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(S4) : 411-421

Particle-Number Conserving Calculation of the Bandhead Moments of Inertia of Identical SD Bands

Department of Physics, Peking University, Beijing, China

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Abstract：
Using the particle-number conserving (PNC) method for treating the cranked shell model, the bandhead moments of inertia of the superdeformed (SD) bands ¹⁹²Hg and ¹⁹⁴Hg(l,2,3) were calculated. The configuration structures of the SD bands near the bandheads and the mechanism of the variation of bandhead moments of inertia with the pairing interaction strength G were investigated. The analysis shows that:
(1) the difference between the bandhead moments of inertia, δJ₀, is sensitive to the pairing interaction strength, but insensitive to the Nilsson parameters κ, μ and the deformation;
(2) in the A~190 region, the pairing interaction still plays an important role and the δJ₀ is mainly attributed to the blocking effect;
(3) the pairing interaction strength in the SD nuclei seems much weaker than in normally deformed nuclei.

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[20]	Cheng Tansheng , Wu Chongshi , Zeng Jinyan . Particle-Number-Conserving Approach for Treating Cranking Hamiltonian. Chinese Physics C, 1988, 12(S3): 313-320.

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Jin Taihao, Zhao Zhengji and Zeng Jinyan. Particle-Number Conserving Calculation of the Bandhead Moments of Inertia of Identical SD Bands[J]. Chinese Physics C, 1993, 17(S4): 411-421.

Jin Taihao, Zhao Zhengji and Zeng Jinyan. Particle-Number Conserving Calculation of the Bandhead Moments of Inertia of Identical SD Bands[J]. Chinese Physics C, 1993, 17(S4): 411-421. shu

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Received: 1992-08-04

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沈阳化工大学材料科学与工程学院沈阳 110142

Particle-Number Conserving Calculation of the Bandhead Moments of Inertia of Identical SD Bands

Department of Physics, Peking University, Beijing, China

Received Date: 1992-08-04

Abstract: Using the particle-number conserving (PNC) method for treating the cranked shell model, the bandhead moments of inertia of the superdeformed (SD) bands ¹⁹²Hg and ¹⁹⁴Hg(l,2,3) were calculated. The configuration structures of the SD bands near the bandheads and the mechanism of the variation of bandhead moments of inertia with the pairing interaction strength G were investigated. The analysis shows that:
(1) the difference between the bandhead moments of inertia, δJ₀, is sensitive to the pairing interaction strength, but insensitive to the Nilsson parameters κ, μ and the deformation;
(2) in the A~190 region, the pairing interaction still plays an important role and the δJ₀ is mainly attributed to the blocking effect;
(3) the pairing interaction strength in the SD nuclei seems much weaker than in normally deformed nuclei.