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 ( J ², J ₃, J ³)and( J ₃ ², R ₁(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]	Y. Benbouzid,N. H. Allal,M. Fellah,M. R. Oudih. Influence of isovector pairing and particle-number projection effects on spectroscopic factors for one-pair like-particle transfer reactions in proton-rich even-even nuclei. Chinese Physics C, 2018, 42(4): 044103.doi:10.1088/1674-1137/42/4/044103
[2]	Chong-Xing Yue,Lu Ma,Yu-Chen Guo,Ya-Bing Zuo. Pair production of the Elementary Goldstone Higgs boson at the LHC. Chinese Physics C, 2017, 41(10): 103102.doi:10.1088/1674-1137/41/10/103102
[3]	E. Ya. Paryev,M. Hartmann,Yu. T. Kiselev. Medium effects in ΛK⁺pair production by 2.83 GeV protons on nuclei. Chinese Physics C, 2017, 41(12): 124108.doi:10.1088/1674-1137/41/12/124108
[4]	Lianrong Dai,Feng Pan,J. P. Draayer. A nucleon-pair and boson coexistent description of nuclei. Chinese Physics C, 2017, 41(7): 074103.doi:10.1088/1674-1137/41/7/074103
[5]	QIAO Cong-Feng,SUN Li-Ping. J/ψ pair production at the Tevatron withs=1.96 TeV. Chinese Physics C, 2013, 37(3): 033105.doi:10.1088/1674-1137/37/3/033105
[6]	HU Bin,CHEN Xiao-Lin,LUO Zhi-Gang,HUANG Peng-Zhi,ZHU Shi-Lin,YU Peng-Fei,LIU Xiang. Possible heavy molecular states composed of a pair of excited charm-strange mesons. Chinese Physics C, 2011, 35(2): 113-125.doi:10.1088/1674-1137/35/2/002
[7]	WANG Fu-Yong,LI Lei,LUO Yan-An. Structure of the even-even^78－84Kr isotopes withinSD-pair shell model. Chinese Physics C, 2010, 34(2): 270-273.doi:10.1088/1674-1137/34/2/023
[8]	LI Bai-Qing,LI Rong,HE Zhi-Guo. η_bdecay into charmonium in association with cc pair. Chinese Physics C, 2010, 34(5): 521-527.doi:10.1088/1674-1137/34/5/001
[9]	JIN Hua,SUN Zhen-Wu,ZHENG Ren-Rong. Influence of angular momentum in axially symmetric potentials with octupole deformation. Chinese Physics C, 2009, 33(9): 759-763.doi:10.1088/1674-1137/33/9/009
[10]	ZHANG Feng,ZHAO Guo-Ming,LI Yong-Sheng,WANG Li-Na. Top pair production in the littlest Higgs model with T-parity. Chinese Physics C, 2009, 33(1): 6-9.doi:10.1088/1674-1137/33/1/002
[11]	WANG Fu-Rong,MENG Xiang-Fei,LUO Yan-An,PAN Feng. Projected SD-pair shell model study for even-even Xe isotopes. Chinese Physics C, 2008, 32(S2): 109-111.
[12]	LIU Jing-Jing,LUO Zhi-Quan. Pair neutrino energy loss for nuclei⁵⁶Fe at the late stages of stellar evolution. Chinese Physics C, 2008, 32(8): 617-619.doi:10.1088/1674-1137/32/8/005
[13]	WU Xi,LEI Yi-An. Comparison between formulas of rotational band for axially symmetric deformed nuclei. Chinese Physics C, 2008, 32(2): 112-119.doi:10.1088/1674-1137/32/2/008
[14]	Li Junqing. Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation. Chinese Physics C, 1997, 21(S4): 33-40.
[15]	Hao Sanru. A New Symmetric Transformation of the Static Axially Symmetric SDYM Fields. Chinese Physics C, 1993, 17(S2): 111-116.
[16]	Yu Youwen,Zhang Zongye,Shen Pengnian,Shen Xiaoyan. Effective Quark-Quark Interaction Created by Quark-Antiquark Pair Excitation. Chinese Physics C, 1992, 16(S4): 449-456.
[17]	Gao Yonghua,He Zhenmin,Huang Ruiwang,Peng Hong'an. The Influence of Nuclear Target on “Small” Mass Lepton Pair Production of High Energy Hadron-Nuclei Collision. Chinese Physics C, 1992, 16(S3): 281-289.
[18]	Yu Youwen,Shen Pengnian. The Effective Two-Meson-Exchange Potential Derived From the Quark-Antiquark Pair Creation Model. Chinese Physics C, 1989, 13(S2): 175-180.
[19]	Hou Boyu,Li Wei. New Infinite Symmetries in the Stationary, Axially Symmetric Einstein-Maxwell Fields. Chinese Physics C, 1988, 12(S1): 69-76.
[20]	Bao Chengguang,Li Xianhui. Influence of the Interference of Odd and Even Waves on Spatial Correlation of Nucleon Pair. Chinese Physics C, 1988, 12(S2): 153-158.

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(1576)
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.