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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 ^(32-74)Ca
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摘要 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. 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.
作者 安荣 耿立升 张时声 刘朗 Rong An;Lisheng Geng;Shisheng Zhang;Lang Liu(School of Physics and Nuclear Energy Engineering,Beihang University,Beijing 100191,China;School of Physics and Nuclear Energy Engineering & Beijing Key Laboratory of Advanced Nuclear Materials and Physics Beihang University,Beijing 100191,China Beijing Advanced Innovation Center for Big Data-based Precision Medicine,Beihang University,Beijing 100191,China;School of Science,Jiangnan University,Wuxi 214122,China)
出处 《Chinese Physics C》 SCIE CAS CSCD 2018年第11期63-71,共9页 中国物理C(英文版)
基金 Supported by the National Natural Science Foundation of China(11522539,11735003,11775014,11375022)
关键词 relativistic mean field model pairing correlation BCS approach particle number projection relativistic mean field model pairing correlation BCS approach particle number projection
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