Underlying Physics of Identical Odd-and Even-Mass Bands in Normally Deformed Rare-Earth Nuclei

  • The microscopic mechanism of the identical odd-and even-mass number nuclear bands in normally deformed rare-earth nuclei was investigated using the particle-number conserving (PNC) method for treating nuclear pairing correlation. It was found that the odd particle of an odd-A identical band always occupied a cranked low j and high Ω Nilsson orbital (e.g. proton [404]7/2, [402]5/2). On the contrary, if the odd particle occupies an intruder high j orbital (e.g. neutron [633]7/2, proton [514]9/2), the moment of inertia of the odd-A band was much larger than that of neighboring even-even ground state band. The observed variation of moment of inertia (below bandcrossing) was reproduced quite well by the PNC calculation, in which no free parameter was involved. The strengths of monopole and Y20 quadrupole interactions were determined by the experimental odd even differences in binding energy and bandhead moment of inertia.
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YU Lei, LIU Shu-Xin, LEI Yi-An and ZENG Jin-Yan. Underlying Physics of Identical Odd-and Even-Mass Bands in Normally Deformed Rare-Earth Nuclei[J]. Chinese Physics C, 2001, 25(6): 526-532.
YU Lei, LIU Shu-Xin, LEI Yi-An and ZENG Jin-Yan. Underlying Physics of Identical Odd-and Even-Mass Bands in Normally Deformed Rare-Earth Nuclei[J]. Chinese Physics C, 2001, 25(6): 526-532. shu
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Received: 2000-06-27
Revised: 1900-01-01
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Underlying Physics of Identical Odd-and Even-Mass Bands in Normally Deformed Rare-Earth Nuclei

    Corresponding author: YU Lei,
  • Department of Physics, Peking University, Beijing 100871, China2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China3 Department of Physics, Guizhou Normal University, Guiyang 550001, China

Abstract: The microscopic mechanism of the identical odd-and even-mass number nuclear bands in normally deformed rare-earth nuclei was investigated using the particle-number conserving (PNC) method for treating nuclear pairing correlation. It was found that the odd particle of an odd-A identical band always occupied a cranked low j and high Ω Nilsson orbital (e.g. proton [404]7/2, [402]5/2). On the contrary, if the odd particle occupies an intruder high j orbital (e.g. neutron [633]7/2, proton [514]9/2), the moment of inertia of the odd-A band was much larger than that of neighboring even-even ground state band. The observed variation of moment of inertia (below bandcrossing) was reproduced quite well by the PNC calculation, in which no free parameter was involved. The strengths of monopole and Y20 quadrupole interactions were determined by the experimental odd even differences in binding energy and bandhead moment of inertia.

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