Investigation of the Type of Quadrupole Pairing Force in Superdeformed Nuclei

LIU Shu-Xin; YU Lei; LEI Yi-An; ZENG Jin-Yan

Chinese Physics C> 2001, Vol. 25> Issue(1) : 37-43

Investigation of the Type of Quadrupole Pairing Force in Superdeformed Nuclei

Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, ChinaDepartment of Physics, Peking University, Beijing 100871, China

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The variations of moments of inertia of superdeformed (SD) bands ¹⁹⁴Hg(1)and ¹⁹²Hg(1) with angular momentum (rotational frequency) are investigated using the particlenumber conserving (PNC) method for treating the cranked shell model. Calculations show that if both the monopole and Y₂₀ quadrupole pairing forces are taken into account, the observed co variation of the moments of inertia of ¹⁹⁴Hg(1) and ¹⁹²Hg(1) can be reproduced very well both in the low-and high- ranges, in particular the J⁽²⁾ downturn of ¹⁹⁴Hg(1) and the flattening in J⁽²⁾ of ¹⁹²Hg(1) at>0.40MeV. On the contrast, the calculated J⁽²⁾'s with the Y_2±1 or Y_2±2 quadrupole pairing forces are in disagreement with the experiments. The microscopic mechanism of the co variation of J⁽²⁾ is clearly exhibited in the PNC calculation (the contributions to J⁽²⁾ from various major Shells and individual cranked Nilsson orbitals, the occupancy of each cranked Nilsson Orbital etc). The variation of moment of inertia is the result of the competition among the shell effect (single particle motion in a deformed potential), pairing correlation, Pauli blocking effect and Coriolis (anti-pairing) interaction.

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LIU Shu-Xin, YU Lei, LEI Yi-An and ZENG Jin-Yan. Investigation of the Type of Quadrupole Pairing Force in Superdeformed Nuclei[J]. Chinese Physics C, 2001, 25(1): 37-43.

LIU Shu-Xin, YU Lei, LEI Yi-An and ZENG Jin-Yan. Investigation of the Type of Quadrupole Pairing Force in Superdeformed Nuclei[J]. Chinese Physics C, 2001, 25(1): 37-43. shu

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Received: 2000-01-10
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沈阳化工大学材料科学与工程学院沈阳 110142

Investigation of the Type of Quadrupole Pairing Force in Superdeformed Nuclei

Corresponding author: LIU Shu-Xin,

Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, ChinaDepartment of Physics, Peking University, Beijing 100871, China

Received Date: 2000-01-10

Accepted Date: 1900-01-01

Available Online: 2001-01-05

Abstract: The variations of moments of inertia of superdeformed (SD) bands ¹⁹⁴Hg(1)and ¹⁹²Hg(1) with angular momentum (rotational frequency) are investigated using the particlenumber conserving (PNC) method for treating the cranked shell model. Calculations show that if both the monopole and Y₂₀ quadrupole pairing forces are taken into account, the observed co variation of the moments of inertia of ¹⁹⁴Hg(1) and ¹⁹²Hg(1) can be reproduced very well both in the low-and high- ranges, in particular the J⁽²⁾ downturn of ¹⁹⁴Hg(1) and the flattening in J⁽²⁾ of ¹⁹²Hg(1) at>0.40MeV. On the contrast, the calculated J⁽²⁾'s with the Y_2±1 or Y_2±2 quadrupole pairing forces are in disagreement with the experiments. The microscopic mechanism of the co variation of J⁽²⁾ is clearly exhibited in the PNC calculation (the contributions to J⁽²⁾ from various major Shells and individual cranked Nilsson orbitals, the occupancy of each cranked Nilsson Orbital etc). The variation of moment of inertia is the result of the competition among the shell effect (single particle motion in a deformed potential), pairing correlation, Pauli blocking effect and Coriolis (anti-pairing) interaction.

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Investigation of the Type of Quadrupole Pairing Force in Superdeformed Nuclei

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