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《中国物理C》（英文）编辑部
2024年10月30日
Chinese Physics C> 2000, Vol. 24> Issue(9) : 829-838 

Research on Superdeformed Bands with Bohr-Mottelson's Formulas

  •  Department of Physics, Anhui University, Hefei 2300392 Department of Modern Physics, University of Science and Technology of China, Hefei 230027

  • The superdeformed bands in the A～190 region are systemically analyzed by using Bohr-Mottelson's two, three and four-parameter I(I+1) expansions. All results show that three formulas are reasonable to the description of superdeformed bands and the agreement with the spin determination. The parameter-relation R1 for most of bands agrees with the theoretical expected value of ab formula and the parameter-relation R1 for a part of bands agrees with the theoretical expected value of Harris formula. The parameter relation R3 for half bands deviates from the theoretical expected value of Harris two-parameter ω2 expansion, but is closer to the theoretical expected value of ab formula, which may indicate that the ab formula is superior to the Harris two-parameter ω2 expansion.
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    [1] . Bohr A,Mottelson B R.Nuclear Structure,(Benjamin,New York),1975,II2. Harris S M.Phys.Rev.Lett.,1964,13:663—666;Phy.Rev.,1965,B138:5093. WU C S,ZENG J Y.Commun.in Theor.Phys.(Beijing),1987,8:51—744. XU FuXin,XU Ni.High Energy Phys.and Nucl.Phys.(in Chinese),1993,17:1039—1047(徐辅新,徐霓.高能物理与核物理,1993,17:1039—1047)5. HU ZuoXian,ZENG JingYan.High Energy Phys.and Nucl.Phys(in Chinese),1998,22:446(胡佐贤,曾谨言.高能物理与核物理,1998,22:446—453)6. Vo DT,Kelly W H,Wohn F K et al.Phys.Rev.Lett.1993,71:340—3437. Bearden L G,Janssens R V F,Carpenter M P et al.Z.Phys.,1992,A341:491—4928. Crowell B,Carpenter M P,Janssens R V F et al.Phys.Rev.,1995,C51:R1599—R16039. Carpenter M P,Janssens R V F,Cederwell et al.Phys.Rev.,1995,C51:2400—240510. Fallon P,Lauritsen T,Anmad I et al.Phys.Rev.,1995,C51:R1609—R161211. Joyce M J,Sharpey Schafer J F,Riley M A et al.Phys.Lett.,1994,B340:150—15412. Kr#252;cken R,Hackman G,Delelanque M A et al.Phys.Rev.,1996,C54:R2109—211313. Hackman G,Kr#252;cken R,Janssens R V F et al.Phys.Rev.,1997,C55:148—15414. Pilotte S,Yu C H,Jin H Q et al.Phys.Rev.,1994,C49:718—72415. Fischer S M,Carpenter M P,Janssens R V F et al.Phys.Rev.,1996,C53:2126—213316. Bouneau S,Wilson A N,Azaiez F et al.Phys.Rev.,1996,C53:R9—R1317. Azaiez F et al.Phys.Rev.Lett.,1991,66:1030—103318. Duprat J,Azaiez F,Bourgeois C et al.Phys.Lett.,1994,B341:6—1119. Ducroux L,Astier A,Beraud R et al.Z.Phys.,1995,A352:13—1420. Ducroux L,Astier A,Duffait R et al.Phys.Rev.,1996,C53:2701—270821. Hughes J R,Becker J A,Brinkman M J et al.Phys.Rev.,1994,C50:R1265—R126922. Farris L P,Henry E A,Becker J A et al.Phys.Rev.,1995,C51:R2288—R229223. van Severen U J,KortenW,H#252;bel H et al.Z.Phys.,1995,A353:15—1624. Hibbert I M,Wadsworth R,Hauschild K et al.Phys.Rev.,1996,C54:2253—225825. Clark R M,Bouneau S,Wilson A N et al.Phys.Rev.,1996,C53:117—12326. McNabb D P,Baldsiefen G,Bernstein L A et al.Phys.Rev.,1996,C53:R541—R543

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GUO JianYou, XU FuXin and RUAN TuNan. Research on Superdeformed Bands with Bohr-Mottelson's Formulas[J]. Chinese Physics C, 2000, 24(9): 829-838.
GUO JianYou, XU FuXin and RUAN TuNan. Research on Superdeformed Bands with Bohr-Mottelson's Formulas[J]. Chinese Physics C, 2000, 24(9): 829-838. shu
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Received: 1999-06-21
Revised: 1900-01-01
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Research on Superdeformed Bands with Bohr-Mottelson's Formulas

    Corresponding author: GUO JianYou,
  • Department of Physics, Anhui University, Hefei 2300392 Department of Modern Physics, University of Science and Technology of China, Hefei 230027
  • Received Date: 1999-06-21
  • Accepted Date: 1900-01-01
  • Available Online: 2000-09-05

Abstract: The superdeformed bands in the A～190 region are systemically analyzed by using Bohr-Mottelson's two, three and four-parameter I(I+1) expansions. All results show that three formulas are reasonable to the description of superdeformed bands and the agreement with the spin determination. The parameter-relation R1 for most of bands agrees with the theoretical expected value of ab formula and the parameter-relation R1 for a part of bands agrees with the theoretical expected value of Harris formula. The parameter relation R3 for half bands deviates from the theoretical expected value of Harris two-parameter ω2 expansion, but is closer to the theoretical expected value of ab formula, which may indicate that the ab formula is superior to the Harris two-parameter ω2 expansion.

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