Comparative Assignments of Spin of Superdeformed Bands

LI Ming-Liang; ZHU Sheng-Jiang; XU Fu-Xin

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2005, Vol. 29> Issue(10) : 954-959

Comparative Assignments of Spin of Superdeformed Bands

Department of Physics,Tsinghua University,Beijing 100084,China2 Department of Physics,Anhui University,Hefei 230039,China

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Abstract：
The spin values of the superdeformed (SD) bands in A≈190 region have been assigned by comparing the fitting results of Bohr-Mottelson and Harris formulas.The assigned spin values in most of the SD bands are consistent in the both fitting results. For the superdeformed bands whose spin cannot be assigned consistently by the two formulas or the bands whose spin assignment doesn't accord with bandhead moments of inertial systematics, we assign their spin using moments of inertial systematics. By using our assigned spin values, the relation of parameters of Bohr-Mottelson formula has been examined. The results show that the relation deduced from three-parameter Harris formula is closer to the experiment than the relation deduced from ab formula.

References

[1]

. Twin P J et al. Phys. Rev. Lett., 1986, 57: 8112. Bohr A, Mottelson B R. Nuclear Structure(Vol.Ⅱ). New York: Benjamin, 19753. Harris S M. Phys. Rev. Lett., 1964, 13: 663; Phys. Rev.,1965, B138: 5094. WU C S,.ZENG J Y. Common in Theory Phys. (Beijing),1987, 8: 515. LEI Y A, LIN C Z, ZENG J Y. HEP NP, 1997, 21:648—656(in Chinese)(雷奕安,林纯镇,曾谨言.高能物理与核物理,1997,21:648-656) 6. WU Chong-Shi, ZHOU Zhi-Ning. HEP NP, 1999, 23:1209—1215(in Chinese)(吴崇试,周治宁.高能物理与核物理,1999,23:1209-1215) 7. Khoo T L et al. Phys. Rev. Lett., 1996, 76: 15838. Hauschild K et al. Phys. Rev., 1997, C55: 28199. Lopez-Martens A et al. Phys. Lett., 1991, B380: 1810. Brinkman M J et al. Phys. Rev., 1991, C53: R146111. LI Ming-Liang, XU Fu-Xin. HEP NP, 2003, 27: 511—514. (in Chinese)(李明亮,徐辅新.高能物理与核物理,2003,27:511-514)

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[3]	DI Yao-Min . Analysis by Synthesis of the Spin Assignment for the Superdeformed Single Bands in A≈190 Odd Nuclei. Chinese Physics C, 2003, 27(6): 503-506.
[4]	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.
[5]	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.
[6]	FANG Xiang-Zheng , RUAN Tu-Nan . Phenomenological Description of Superdeformed Bands. Chinese Physics C, 2001, 25(4): 315-321.
[7]	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.
[8]	WU Chong-Shi , LI Zhong-Hua . Spin Assignments of Superdeformed Bands in Europium. Chinese Physics C, 2001, 25(2): 121-128.
[9]	GUO JianYou , XU FuXin , RUAN TuNan . Description of Staggering Phenomenon of the Superdeformed Bands in SU_q(2) Symmetry. Chinese Physics C, 2000, 24(2): 181-184.
[10]	LIU Yu-Xin . Algebraic Model Description of High Spin Superdeformed Bands. Chinese Physics C, 2000, 24(S1): 50-53.
[11]	LI ZhongHua , WU ChongShi . Elimination of the Fluctuation in the Observed Transition Energies and Spin Assignments of the Superdeformed Bands in A≈150 Region. Chinese Physics C, 2000, 24(1): 71-76.
[12]	Liu Shuxin , Zeng Jinyan . Bandhead Moments of Inertia Systematics and Systematic Spin Assignments of Superdeformed Bands in A≈190 Region. Chinese Physics C, 1999, 23(7): 701-708.
[13]	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.
[14]	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.
[15]	Xing Zheng , Wang Zixing , Chen Xingqu , Xu Jinzhang . Influence of Configuration Admixtures on Superdeformed Triaxial Bands. Chinese Physics C, 1998, 22(11): 1029-1034.
[16]	Wu Chongshi . Improvement of the Spin Assignment of the Superdeformed Band──Elimination of the ΔI-4 Bifurcation. Chinese Physics C, 1998, 22(1): 48-54.
[17]	Wu Chongshi . Re-Discussion of the Spin Assignments of the Superdeformed Bands in A～190 Region (I) Even-Even Superdeformed Nuclei. Chinese Physics C, 1998, 22(1): 71-77.
[18]	Lei Yian , Lin Chunzhen , Zeng Jinyan . Comparison of the Spin Assignment and Experimental Determination of Superdeformed Bands. Chinese Physics C, 1997, 21(7): 648-656.
[19]	Xing Zheng , Wang Yangli , Chen Xingqu . A Simple Two-Band Mixing Model of Superdeformed Bands. Chinese Physics C, 1994, 18(1): 62-67.
[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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LI Ming-Liang, ZHU Sheng-Jiang and XU Fu-Xin. Comparative Assignments of Spin of Superdeformed Bands[J]. Chinese Physics C, 2005, 29(10): 954-959.

LI Ming-Liang, ZHU Sheng-Jiang and XU Fu-Xin. Comparative Assignments of Spin of Superdeformed Bands[J]. Chinese Physics C, 2005, 29(10): 954-959. shu

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Received: 2005-01-19
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Comparative Assignments of Spin of Superdeformed Bands

Corresponding author: LI Ming-Liang,

Department of Physics,Tsinghua University,Beijing 100084,China2 Department of Physics,Anhui University,Hefei 230039,China

Received Date: 2005-01-19
Accepted Date: 1900-01-01
Available Online: 2005-10-05

Abstract: The spin values of the superdeformed (SD) bands in A≈190 region have been assigned by comparing the fitting results of Bohr-Mottelson and Harris formulas.The assigned spin values in most of the SD bands are consistent in the both fitting results. For the superdeformed bands whose spin cannot be assigned consistently by the two formulas or the bands whose spin assignment doesn't accord with bandhead moments of inertial systematics, we assign their spin using moments of inertial systematics. By using our assigned spin values, the relation of parameters of Bohr-Mottelson formula has been examined. The results show that the relation deduced from three-parameter Harris formula is closer to the experiment than the relation deduced from ab formula.