Synthetical Analysis of the Spin Assignment for the Superdeformed Bands in A≈190 Region

  • The spin assignment for the superdeformed bands of even-even nuclei in A≈190 region is given by means of using the method of synthetical analysis. In this work, the I(I+1) expression is used to fit the experimental data of the transition γ energies. In contrast to other procedure, the convergence process of the series expansions is put stress upon, whereas taking how many terms exactly in the expression does not emphasized. Moreover as well as the method of fitting the physical quantity, by use of these series expansions the moment of inertia of band heads is also calculated and then the systematics is used for the spin assignments. In practice, when the experimental data is abundant 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, which may be judged easily from the second class of moment of inertia of the bands. Finally the results of the spin assignment and the comparison with other literature are presented. These results should be more reliable.
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  • [1] . XING Zheng, CHEN Xing-Qu. High Energy Phys. and Nucl. Phys.,1991,15:1020(in Chinese)(邢正,陈星蕖.高能物理与核物理,1991,15:1020) 2. ZENG J Y ,MENG J,WU C S et al. Phys. Rev.,1991,C44:17453. WU C S ,ZENG J Y ,XING Z et al. Phys. Rev.,1992,C45:261 4. HU Ji-Min, XU Fu-Rong, ZHENG Chun-Kai. High Energy Phys. and Nucl. Phys.,1996,20:554(in Chinese)(胡济民,许甫荣,郑春开.高能物理与核物理,1996,20:554)5. WU Chong-Shi.High Energy Phys. and Nucl. Phys.,1998,22:71(in Chinese)(吴崇试.高能物理与核物理,1998,22:71)6. LEI Y A ,ZENG J Y . Nuclear Science and Technologies, 1997,8:657. LIU Shu-Xin,ZENG Jin-Yan.High Energy Phys. and Nucl. Phys.,1999,23:701(in Chinese)(刘树新,曾谨言.高能物理与核物理,1999,23:701) 8. Bohr A , Mottelson B R . Nuclear Structure, Vol.2. New York:Benjamin Press,19759. Harris S M .Phys. Rev. lett.,196413:663;Phys. Rev.,1965,B138:509 10. WU C S ,ZENG J Y .Commun. In Theor. Phys. (Beijing), 1987,8:51 11. HAN X L ,WU C L. At. Data Nucl. Data Tables, 1999,73:43 12. FANG Xiang-Zheng, RUAN Tu-Nan.High Energy Phys. and Nucl. Phys.,2001,25:315(in Chinese)(方向正,阮图南.高能物理与核物理,2001,25:315)
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DI Yao-Min. Synthetical Analysis of the Spin Assignment for the Superdeformed Bands in A≈190 Region[J]. Chinese Physics C, 2002, 26(5): 507-515.
DI Yao-Min. Synthetical Analysis of the Spin Assignment for the Superdeformed Bands in A≈190 Region[J]. Chinese Physics C, 2002, 26(5): 507-515. shu
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Received: 2001-06-26
Revised: 1900-01-01
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Synthetical Analysis of the Spin Assignment for the Superdeformed Bands in A≈190 Region

    Corresponding author: DI Yao-Min,
  • Department of Physics Xuzhou Normal University, Xuzhou 221009, China

Abstract: The spin assignment for the superdeformed bands of even-even nuclei in A≈190 region is given by means of using the method of synthetical analysis. In this work, the I(I+1) expression is used to fit the experimental data of the transition γ energies. In contrast to other procedure, the convergence process of the series expansions is put stress upon, whereas taking how many terms exactly in the expression does not emphasized. Moreover as well as the method of fitting the physical quantity, by use of these series expansions the moment of inertia of band heads is also calculated and then the systematics is used for the spin assignments. In practice, when the experimental data is abundant 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, which may be judged easily from the second class of moment of inertia of the bands. Finally the results of the spin assignment and the comparison with other literature are presented. These results should be more reliable.

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