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 2 p _1/2single 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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通讯作者:陈斌, bchen63@163.com

1.
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

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 for⁵⁴Ca, the FBCS approach can enhance the occupation probability of the 2p_1/2single particle level and slightly increases its radius, compared with the RMF+BCS model. This leads to the unusual scenario that although⁵⁴Ca 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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Particle number conserving BCS approach in the relativistic mean field model and its application to^32-74Ca

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