Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional

  • Quadrupole and octupole deformation energy surfaces, low-energy excitation spectra, and electric transition rates in eight neutron-rich isotopic chains-Ra, Th, U, Pu, Cm, Cf, Fm, and No-are systematically analyzed using a quadrupole-octupole collective Hamiltonian model, with parameters determined by constrained reflection-asymmetric and axially-symmetric relativistic mean-field calculations based on the PC-PK1 energy density functional. The theoretical results of low-lying negative-parity bands, odd-even staggering, average octupole deformations <β3>, and B(E3; 31-→ 01+) show evidence of a shape transition from nearly spherical to stable octupole-deformed, and finally octupole-soft equilibrium shapes in the neutron-rich actinides. A microscopic mechanism for the onset of stable octupole deformation is also discussed in terms of the evolution of single-nucleon orbitals with deformation.
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Zhong Xu and Zhi-Pan Li. Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional[J]. Chinese Physics C, 2017, 41(12): 124107. doi: 10.1088/1674-1137/41/12/124107
Zhong Xu and Zhi-Pan Li. Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional[J]. Chinese Physics C, 2017, 41(12): 124107.  doi: 10.1088/1674-1137/41/12/124107 shu
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Received: 2017-08-25
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    Supported by National Natural Science Foundation of China (11475140, 11575148)

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Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional

    Corresponding author: Zhi-Pan Li,
  • 1. School of Physical Science and Technology, Southwest University, Chongqing 400715, China
Fund Project:  Supported by National Natural Science Foundation of China (11475140, 11575148)

Abstract: Quadrupole and octupole deformation energy surfaces, low-energy excitation spectra, and electric transition rates in eight neutron-rich isotopic chains-Ra, Th, U, Pu, Cm, Cf, Fm, and No-are systematically analyzed using a quadrupole-octupole collective Hamiltonian model, with parameters determined by constrained reflection-asymmetric and axially-symmetric relativistic mean-field calculations based on the PC-PK1 energy density functional. The theoretical results of low-lying negative-parity bands, odd-even staggering, average octupole deformations <β3>, and B(E3; 31-→ 01+) show evidence of a shape transition from nearly spherical to stable octupole-deformed, and finally octupole-soft equilibrium shapes in the neutron-rich actinides. A microscopic mechanism for the onset of stable octupole deformation is also discussed in terms of the evolution of single-nucleon orbitals with deformation.

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