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

Rong An; Lisheng Geng; Shisheng Zhang; Lang Liu

doi:10.1088/1674-1137/42/11/114101

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

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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 2p_1/2 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.
- relativistic mean field model ,
- pairing correlation ,
- BCS approach ,
- particle number projection

References

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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

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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

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

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