Construction of Paired States in Axially Symmetric Nuclei

Zeng Jinyan; Lei Yian; Wu Wenqing

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

Abstract
HTML
Reference
Related

PDF

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

[1]	. ³H and ³He nuclei production in a combined thermal and coalescence framework for heavy-ion collisions in the few-GeV energy regime. Chinese Physics C, 2026, 50(1): 014104. doi: 10.1088/1674-1137/ae099a
[2]	Renli Xu , Chen Wu , Jian Liu , Bin Hong , Jie Peng , Xiong Li , Ruxian Zhu , Zhizhen Zhao , Zhongzhou Ren . Ground-state properties of finite nuclei in relativistic Hartree-Bogoliubov theory with an improved quark mass density-dependent model. Chinese Physics C, 2026, 50(2): 1-12.
[3]	N. Amangeldi , N. Burtebayev , G. Yergaliuly , Maulen Nassurlla , B. Balabekov , Abylay Tangirbergen , Awad A. Ibraheem , Mohamed A. Dewidar , Sh. Hamada . Breakup of ⁷Li in the field of ^118,120Sn nuclei and its effect on the elastic scattering channel. Chinese Physics C, 2026, 50(2): 1-12.
[4]	Zhe Wang , Quan Liu , Jian-You Guo . Examination of proton radioactivity in exotic nuclei with a deformed Gamow-like model. Chinese Physics C, 2026, 50(2): 1-10. doi: 10.1088/1674-1137/ae042f
[5]	. Investigation of the α-decay half-lives for even-even nuclei within a deformed two-potential approach. Chinese Physics C, 2025, 49(12): 124111. doi: 10.1088/1674-1137/ae0430
[6]	Tao Wan , Shu-Lin Tang , Yi-Bin Qian . Investigation of cluster states around ²⁰Ne including spin-orbit coupling and its extension to heavier nuclei. Chinese Physics C, 2025, 49(12): 124103. doi: 10.1088/1674-1137/adf317
[7]	xxx xx . Evaluation of the moments of inertia of forced split fragments for nuclei ²³²Th (n,f) and ²³⁸U (n,f). Chinese Physics C, 2025, 49(): 1-15.
[8]	Jian Liu , Qiang Su , Qinglin Niu , Lei Wang , Zhongzhou Ren . Charged-current quasielastic neutrino scattering off nuclei with nucleon-nucleon short-range correlations. Chinese Physics C, 2025, 49(10): 104102. doi: 10.1088/1674-1137/ade126
[9]	Manpreet Kaur , Sushil Kumar , Sukhjeet Singh , A. K. Jain . Signature splitting in three-quasineutron rotational band 3/2[521]_ν$\otimes $1/2[660]_ν$\otimes $1/2[660]_νof ¹⁵⁵Dy. Chinese Physics C, 2025, 49(10): 104103. doi: 10.1088/1674-1137/ade95e
[10]	Shuo Yang , Yi-Hang Wang , Peng-Bo Zhao , Ji-Long Ma . Search for heavy vector-like B quark via pair production in fully hadronic channels at CLIC. Chinese Physics C, 2025, 49(11): 113101. doi: 10.1088/1674-1137/adf183
[11]	Yu-Chen Wu , Man Bao . Low-lying states of odd-even N = 79 isotones within the nucleon-pair approximation. Chinese Physics C, 2025, 49(12): 124109. doi: 10.1088/1674-1137/adf1f6
[12]	YE Yan-Lin , ZHOU Xiao-Hong , LIU Wei-Ping , MA Yu-Gang , ZHANG Yu-Hu , XU Fu-Rong . Outline of the progress in the study of radioactive nuclear physics and super-heavy nuclei. Chinese Physics C, 2008, 32(S2): 1-7.
[13]	Dai Guangxi , Li Weisheng . Exploration of Optimum Shape in Symmetric Fission. Chinese Physics C, 1988, 12(S4): 399-404.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1994-08-08

Article Metric

Article Views(1049)
PDF Downloads(3)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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 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.