Research on Superdeformed Bands with Bohr-Mottelson's Formulas

  • 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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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

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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