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Chinese Physics C> 2018, Vol. 42> Issue(12) : 124104 DOI: 10.1088/1674-1137/42/12/124104

Analytical description of shape transition in nuclearalternating parity bands

  • 1.

     Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia

  • 2.

     Dubna State University, Dubna 141980, Russia

  • 3.

     Kazan Federal University, Kazan 420008, Russia

  • 4.

     CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

  • 5.

     School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

  • 6.

     Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China

  • 7.

     Synergetic Innovation Center for Quantum Effects and Application, Hunan Normal University, Changsha 410081, China

  • The angular momentum dependencies of parity splitting and electric dipole transitions in the alternating parity bands of heavy nuclei have been analyzed. It is shown that these dependencies can be treated in a universal manner with a single critical angular momentum parameter, which characterizes phase transition from octupole vibrations to the stable octupole deformation. Using the simple but useful model of axially-symmetric reflection-asymmetric mode, the analytical expressions for parity splitting and electric dipole transitional moment have been obtained. The findings are in good agreement with the experimental data for various isotopes of Ra, Th, U, and Pu.
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E. V. Mardyban, T. M. Shneidman, E. A. Kolganova, R. V. Jolos and S. -G. Zhou. Analytical description of shape transition in nuclearalternating parity bands[J]. Chinese Physics C, 2018, 42(12): 124104. doi: 10.1088/1674-1137/42/12/124104
E. V. Mardyban, T. M. Shneidman, E. A. Kolganova, R. V. Jolos and S. -G. Zhou. Analytical description of shape transition in nuclearalternating parity bands[J]. Chinese Physics C, 2018, 42(12): 124104.  doi: 10.1088/1674-1137/42/12/124104 shu
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Received: 2018-05-10
Revised: 2018-08-28
Fund

    Supported by the RFBR (Moscow) (16-02-00068A) and the Russian Government Subsidy Program of the Competitive Growth of Kazan Federal University. S.G.Z. was partly supported by the National Key RD Program of China (2018YFA0404402), the NSF of China (11525524, 11621131001, 11647601, 11747601, 11711540016), the CAS Key Research Program of Frontier Sciences (QYZDB-SSWSYS013), the IAEA CRP F41033, the HPC Cluster of KLTP/ITP-CAS, and the Supercomputing Center, CNIC of CAS

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Analytical description of shape transition in nuclearalternating parity bands

    Corresponding author: E. V. Mardyban,
    Corresponding author: T. M. Shneidman,
  • 1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia
  • 2. Dubna State University, Dubna 141980, Russia
  • 3. Kazan Federal University, Kazan 420008, Russia
  • 4. CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 5. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • 6. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China
  • 7. Synergetic Innovation Center for Quantum Effects and Application, Hunan Normal University, Changsha 410081, China
  • Received Date: 2018-05-10
  • Accepted Date: 2018-08-28
  • Available Online: 2018-12-05
Fund Project:  Supported by the RFBR (Moscow) (16-02-00068A) and the Russian Government Subsidy Program of the Competitive Growth of Kazan Federal University. S.G.Z. was partly supported by the National Key RD Program of China (2018YFA0404402), the NSF of China (11525524, 11621131001, 11647601, 11747601, 11711540016), the CAS Key Research Program of Frontier Sciences (QYZDB-SSWSYS013), the IAEA CRP F41033, the HPC Cluster of KLTP/ITP-CAS, and the Supercomputing Center, CNIC of CAS

Abstract: The angular momentum dependencies of parity splitting and electric dipole transitions in the alternating parity bands of heavy nuclei have been analyzed. It is shown that these dependencies can be treated in a universal manner with a single critical angular momentum parameter, which characterizes phase transition from octupole vibrations to the stable octupole deformation. Using the simple but useful model of axially-symmetric reflection-asymmetric mode, the analytical expressions for parity splitting and electric dipole transitional moment have been obtained. The findings are in good agreement with the experimental data for various isotopes of Ra, Th, U, and Pu.

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