Theoretical Analysis of an Uqp(u2) Model for Ground-State Bands in Even-Even Nuclei

Zhang Xinming; Zhou Huanqiang

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1996, Vol. 20> Issue(2) : 165-174

Theoretical Analysis of an U_qp(u₂) Model for Ground-State Bands in Even-Even Nuclei

Zhang Xinming ^, ,
Zhou Huanqiang

Department of Physics,Qujing Teacher's College,Yunnan 6550002 Department of Applled Physics,Chongqing University,Sichuan 630044

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Abstract：
The validity of an U_qp(u₂)model for the nuclear rotational spectrum is systematically analysed by investigating the Mallmann plots and fitting the experimental data for the even-even rare-earth and actinide nuclei.The results show that the theoretical values obtained from the U_qp(u₂) model are in a good accordance with the experimental findings.Thus the U_qp(u₂) model has some advantages over the SU_q(2)model as far as energy levels are concerned. Further more,a relationship between the parameters of deformations and the nuclear softness is also established.

References

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P.P.Raychev,R.P.Rovssev,Yu,F.Smirnov,J.Phys.,G16（1990）137.[2]S.Iwao,Prog.Thesr.Phys.,83（1990）363.[3]孟杰、吴崇试、曾谨言，高能物理与核物理，16（1992）90.[4]M.Kibler,1993 Symmetry and Structural Properties of Condensed Matter ed W.Florek,D.Lipinski,T.Lulek（Singapare:World Scientific）p445.[5]R.Barbier,J.Meyer,M.Xibler,J.Phys.,G20（1994）13.[6]F.X.Xu,C.S.Wu,J.Y.Zeng,Phys.Rev,C40（1989）2337.[7]R.Bengtsson,S.Frauendorf,Nucl.Phys.,A327（1979）139.[8]M.J.de Voigt,J.Dudek,Z.Szymanski,Rev.Mod.Phys.,55（1983）949.[9]曾谨言、雷奕安，中国科学，23（1993）597.[10]D.Bonatsos et al,Phys.Lett.,251B（1990）477.

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[2]	ZHANG Xin-Ming , ZHOU Huan-Qiang . Study for Superdeformed Bands in A～190 Region with Quantum Group U_qp(u₂) Model. Chinese Physics C, 2002, 26(8): 843-850.
[3]	SHI Kang-Jie , FAN Heng , YUE Rui-Hong , ZHAO Shao-You , HOU Bo-Yu . Coefficient Algebra of the Minimal Representation of the Elliptic Quantum Group. Chinese Physics C, 2001, 25(7): 628-635.
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[5]	Zhang xinming , Zhou Huanqiang , He Jinsong . Theoretical Analysis of an U_qp(u₂) Model for the Congruent Superdeformed rotational Bands. Chinese Physics C, 1998, 22(9): 803-811.
[6]	Zhou Huanqiang , Guan Xiwen , He Jingsong . A Two-Parameter Deformed Two-Dimensional Interacting Boson Model with U_qp(U₃)⊃U_qp(U₂)⊃U_qp(SO₂) Symmetry. Chinese Physics C, 1996, 20(S1): 39-46.
[7]	Zhou Huanqiang , Guan Xiwen , He Jingsong . A Two-Parameter Deformed Two-Dimensional Interacting Boson Model With U_qp(U₃)U_qp(U₂)U_qp(SO₂) Symmetry. Chinese Physics C, 1996, 20(1): 38-44.
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[15]	WU ChONG-Shi , ZENG Jin-Yan . COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅲ.——VARIOUS EXPANSIONS OF EXCITATION ENERGY OF GROUND BAND. Chinese Physics C, 1985, 9(1): 77-88.
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Zhang Xinming and Zhou Huanqiang. Theoretical Analysis of an U_qp(u₂) Model for Ground-State Bands in Even-Even Nuclei[J]. Chinese Physics C, 1996, 20(2): 165-174.

Zhang Xinming and Zhou Huanqiang. Theoretical Analysis of an U_qp(u₂) Model for Ground-State Bands in Even-Even Nuclei[J]. Chinese Physics C, 1996, 20(2): 165-174. shu

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

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Theoretical Analysis of an U_qp(u₂) Model for Ground-State Bands in Even-Even Nuclei

Zhang Xinming ^,
Zhou Huanqiang

Corresponding author: Zhang Xinming,

Department of Physics,Qujing Teacher's College,Yunnan 6550002 Department of Applled Physics,Chongqing University,Sichuan 630044

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-02-05

Abstract: The validity of an U_qp(u₂)model for the nuclear rotational spectrum is systematically analysed by investigating the Mallmann plots and fitting the experimental data for the even-even rare-earth and actinide nuclei.The results show that the theoretical values obtained from the U_qp(u₂) model are in a good accordance with the experimental findings.Thus the U_qp(u₂) model has some advantages over the SU_q(2)model as far as energy levels are concerned. Further more,a relationship between the parameters of deformations and the nuclear softness is also established.