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Chinese Physics C> 2018, Vol. 42> Issue(11) : 114101 DOI: 10.1088/1674-1137/42/11/114101

Particle number conserving BCS approach in the relativistic mean field model and its application to 32-74Ca

  • 1.

      School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China

  • 2.

      School of Physics and Nuclear Energy Engineering &

  • 3.

      School of Science, Jiangnan University, Wuxi 214122, China

  • A fixed particle number BCS (FBCS) approach is formulated in the relativistic mean field (RMF) model. It is shown that the RMF+FBCS model obtained can describe the weak pairing limit. We calculate the ground-state properties of the calcium isotopes 32-74Ca and compare the results with those obtained from the usual RMF+BCS model. Although the results are quite similar to each other, we observe the interesting phenomenon that for 54Ca, the FBCS approach can enhance the occupation probability of the 2p1/2 single particle level and slightly increases its radius, compared with the RMF+BCS model. This leads to the unusual scenario that although 54Ca is more bound with a spherical configuration, the corresponding size is not the most compact. We anticipate that such a phenomenon might happen for other neutron-rich nuclei and should be checked by further more systematic studies.
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Rong An, Lisheng Geng, Shisheng Zhang and Lang Liu. Particle number conserving BCS approach in the relativistic mean field model and its application to 32-74Ca[J]. Chinese Physics C, 2018, 42(11): 114101. doi: 10.1088/1674-1137/42/11/114101
Rong An, Lisheng Geng, Shisheng Zhang and Lang Liu. Particle number conserving BCS approach in the relativistic mean field model and its application to 32-74Ca[J]. Chinese Physics C, 2018, 42(11): 114101.  doi: 10.1088/1674-1137/42/11/114101 shu
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Received: 2018-05-06
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    Supported by the National Natural Science Foundation of China (11522539, 11735003, 11775014, 11375022)

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Particle number conserving BCS approach in the relativistic mean field model and its application to 32-74Ca

  • 1.  School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China
  • 2.  School of Physics and Nuclear Energy Engineering &
  • 3.  School of Science, Jiangnan University, Wuxi 214122, China
  • Received Date: 2018-05-06
  • Available Online: 2018-11-05
Fund Project:  Supported by the National Natural Science Foundation of China (11522539, 11735003, 11775014, 11375022)

Abstract: A fixed particle number BCS (FBCS) approach is formulated in the relativistic mean field (RMF) model. It is shown that the RMF+FBCS model obtained can describe the weak pairing limit. We calculate the ground-state properties of the calcium isotopes 32-74Ca and compare the results with those obtained from the usual RMF+BCS model. Although the results are quite similar to each other, we observe the interesting phenomenon that for 54Ca, the FBCS approach can enhance the occupation probability of the 2p1/2 single particle level and slightly increases its radius, compared with the RMF+BCS model. This leads to the unusual scenario that although 54Ca is more bound with a spherical configuration, the corresponding size is not the most compact. We anticipate that such a phenomenon might happen for other neutron-rich nuclei and should be checked by further more systematic studies.

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