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《中国物理C》（英文）编辑部
2024年10月30日
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

  • 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 Y2±1 or Y2±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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    [1] Janssens R V F, Khoo T L. Annu. Rev. Nucl. Part. Sci., 1991, 41:3212 LIU S X, ZENG J Y. Phys. Rev., 1998, C58:3266 3 Riley M A et al. Nucl. Phys, 1900, A512: 178 4 Moors E F et al. Phys. Rev. Lett., 1990, 64:3127 5 YE D et al. Phys. Rev., 1990, C41:R136 Cederewell B et al. Phys. Rev. Lett., 1994, 72:3150 7 Gall B J P et al. Z. Phys., 1994, A347:223 8 Fallon P et al. Phys. Rev., 1995, C51:R1609 9 Van Severen U J et al. Z. Phys., 1995, A353:15 10 Duprat J et al. Phys. Lett., 1994, B341:6 11 Inuritsen J et al. Phys. Lett., 1992, B279:23912 Hamamoto I, Nazarewicz W. Phys. Rev., 1994, C49:2489 13 Wakai M, Faessler A. Nucl. Phys., 1978, A295:8614 Dibel M. Nucl. Phys., 1984, A419:221 15 ZENG J Y, CHENG T S. Nucl. Phys., 1983, A405:1 16 Molique H, Dudeck J. Phys. Rev., 1997, C56:179517 ZENG J Y, JIN T H, ZHAO Z J. Phys. Rev., 1994, C50:74618 XIN X B et al. Chin. Phys. Lett., 2000, 17:9419 Bengtsson T, Ragnarsson I. Nucl. Phys., 1985, A436: 14

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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
Revised: 1900-01-01
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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 Y2±1 or Y2±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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