Analysis by Synthesis of the Spin Assignment for the Superdeformed Single Bands in A≈190 Odd Nuclei

DI Yao-Min

Chinese Physics C> 2003, Vol. 27> Issue(6) : 503-506

Analysis by Synthesis of the Spin Assignment for the Superdeformed Single Bands in A≈190 Odd Nuclei

DI Yao-Min ^,

Department of Physics, Xuzhou Normal University, Xuzhou 221009, China

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Abstract：
The spin assignments for the superdeformed single bands in A≈190 odd nuclei are discussed by use of the method of analysis by synthesis. In this work, the I(I+1) expression is used to fit the experimental energies of γ-transition. In contrast to other procedure, the convergence process of the series expansions is put stress upon whereas how many terms to be taken exactly in the expression does not emphasized. Moreover as well as the method of fitting the physical quantity, the moment of inertia of band heads is also calculated and the method of that systematics is used for the spin assignments. In practice the systematics of the moment of inertia of band heads is more efficient than the method of fitting the physical quantity in the spin assignment. As for a few bands which spin assignment is difficult the deviation from the typical rotational bands must be considered. Finally the results of the spin assignment and the comparison with other literatures are given.

References

[1]

. DI Yao-Min.High Energy Phys.and Nucl.Phys.,2002,26:507—515(in Chinese)(狄尧民.高能物理与核物理,2002,26:507—515)2. DI Yao-Min.High Energy Phys.and Nucl.Phys.,2003,27:227—232(in Chinese)(狄尧民.高能物理与核物理,2003,27:227—232)3. WU Chong-Shi.High Energy Phys.and Nucl.Phys.,1997,21:621—626(in Chinese)(吴崇试.高能物理与核物理,1997,21:621—626)4. HAN X L,WU C L.At.Data Nucl.Data Tables,1999,73:43—1515. WU C S,ZENG J Y,XING Z et al.Phys.Rev.,1992,C45:261—2746. WU Chong-Shi,LI Zhong-Hua.High Energy Phys.and Nucl.Phys.,1999,23:797—802(in Chinese)(吴崇试,李忠华.高能物理与核物理,1999,23:797—802)7. LIU Shu-Xin,ZENG Jin-Yan.High Energy Phys.and Nucl.Phys.,1999,23:701—708(in Chinese)(刘树新,曾谨言.高能物理与核物理,1999,23:701—708)8. GUO Jian-You,XU Fu-Xin,RUAN Tu-Nan.High Energy Phys.and Nucl.Phys.,2000,24:829—838(in Chinese)(郭建友,徐辅新,阮图南.高能物理与核物理,2000,24:829—838)

[1]	LI Ming-Liang , ZHU Sheng-Jiang , XU Fu-Xin . Comparative Assignments of Spin of Superdeformed Bands. Chinese Physics C, 2005, 29(10): 954-959.
[2]	LIU Shu-Xin . Configuration Structure of Superdeformed Bands in A～190 Mass Region. Chinese Physics C, 2005, 29(9): 871-874.
[3]	HE Xiao-Tao , YU Shao-Ying , LIU Shu-Xin , ZENG Jin-Yan , ZHAO En-Guang . Study of the Identical Bands of Odd-A and Odd-Odd Nuclei in the A～190 Mass Region. Chinese Physics C, 2004, 28(12): 1366-1369.
[4]	TANG Jie , LIU Yu-Xin . Systematic Description of the Superdeformed Bands of the Odd-A Nuclei in the A≈190 Mass Region. Chinese Physics C, 2004, 28(10): 1055-1064.
[5]	DI Yao-Min . Discussion of Spin Assignment of the Signature Partner Bands in Odd-A Superdeformed Nuclei in A≈190 Region. Chinese Physics C, 2003, 27(3): 227-232.
[6]	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.
[7]	DI Yao-Min . Synthetical Analysis of the Spin Assignment for the Superdeformed Bands in A≈190 Region. Chinese Physics C, 2002, 26(5): 507-515.
[8]	WU Chong-Shi , LI Zhong-Hua . Spin Assignments of Superdeformed Bands in Europium. Chinese Physics C, 2001, 25(2): 121-128.
[9]	GUO Jian-You , XU Fu-Xin , RUAN Tu-Nan . Further Discussion on the Spin-Determination of Superdeformed Bands in the A～190 Region. Chinese Physics C, 2001, 25(6): 514-520.
[10]	ZHANG Yu-Hu , ZHAO Qing-Zhong , ZHANG Shuang-Quan , ZHOU Xiao-Hong , XU Hu-Shan , HUANG Wen-Xue , GUO Ying-Xiang , LEI Xiang-Guo , LIU Zhong , LU Jun , FENG Xi-Chen , GOU Quan-Bu , , , , . Experimental Study of High-spin States in Odd-Odd Nuclei around 160-180 Mass Region. Chinese Physics C, 2000, 24(S1): 21-28.
[11]	FANG XiangZheng , LI XianYin , RUAN TuNan . Description of the Superdeformed Bands in A～190 Region with a Three-Parameter Formula. Chinese Physics C, 2000, 24(4): 312-319.
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[14]	Wu Chongshi , Zhou Zhining . Re-discussion of the Spin Assignments of the Superdeformed Bands in A≈190 Region (Ⅲ) Doubly Odd Superdeformed Nuclei. Chinese Physics C, 1999, 23(12): 1209-1215.
[15]	Wu Chongshi , Li Zhonghua . Re-discussion of the Spin Assignments of the Superdeformed Bands in A≈190 Region (Ⅱ) Odd Superdeformed Nuclei. Chinese Physics C, 1999, 23(8): 797-802.
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[20]	CHEN Xing-Qu , XING Zheng . Phenomenological Analysis and Determination of Spins for Superdeformed Bands in the Mass-190 Region. Chinese Physics C, 1991, 15(12): 1094-1100.

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DI Yao-Min. Analysis by Synthesis of the Spin Assignment for the Superdeformed Single Bands in A≈190 Odd Nuclei[J]. Chinese Physics C, 2003, 27(6): 503-506.

DI Yao-Min. Analysis by Synthesis of the Spin Assignment for the Superdeformed Single Bands in A≈190 Odd Nuclei[J]. Chinese Physics C, 2003, 27(6): 503-506. shu

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Received: 2002-08-08
Revised: 1900-01-01

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通讯作者: 陈斌, [email protected]

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沈阳化工大学材料科学与工程学院沈阳 110142

Analysis by Synthesis of the Spin Assignment for the Superdeformed Single Bands in A≈190 Odd Nuclei

Corresponding author: DI Yao-Min,

Department of Physics, Xuzhou Normal University, Xuzhou 221009, China

Received Date: 2002-08-08

Accepted Date: 1900-01-01

Available Online: 2003-06-05

Abstract: The spin assignments for the superdeformed single bands in A≈190 odd nuclei are discussed by use of the method of analysis by synthesis. In this work, the I(I+1) expression is used to fit the experimental energies of γ-transition. In contrast to other procedure, the convergence process of the series expansions is put stress upon whereas how many terms to be taken exactly in the expression does not emphasized. Moreover as well as the method of fitting the physical quantity, the moment of inertia of band heads is also calculated and the method of that systematics is used for the spin assignments. In practice the systematics of the moment of inertia of band heads is more efficient than the method of fitting the physical quantity in the spin assignment. As for a few bands which spin assignment is difficult the deviation from the typical rotational bands must be considered. Finally the results of the spin assignment and the comparison with other literatures are given.

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Analysis by Synthesis of the Spin Assignment for the Superdeformed Single Bands in A≈190 Odd Nuclei

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