Particle number conserving BCS approach in the relativistic mean field model and its application to ~(32 – 74) Ca
Particle number conserving BCS approach in the relativistic mean field model and its application to ~(32 – 74) Ca
复制标题
相对论平均场模型中的粒子数守恒 BCS 方法及其在 ~(32 – 74) Ca 中的应用
DOI：
10.1088/1674-1137/42/11/114101
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Liu Lang
中科院分区：
文献类型：
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作者：
An Rong;Geng Lisheng;Zhang Shisheng;Liu Lang
在相对论平均场(RMF)模型中建立了一种固定粒子数BCS(FBCS)方法。结果表明，所得到的RMF+FBCS模型可以描述弱配对极限。我们计算了钙同位素~(32-74)Ca的基态性质，并与通常的RMF+BCS模型的结果进行了比较。虽然计算结果非常相似，但我们观察到一个有趣的现象，即对于~(54)Ca，与RMF+BCS模型相比，FBCS方法可以提高2P_(1/2)单粒子能级的占据几率，并略微增大其半径。这导致了一种不寻常的情况，即虽然~(54)Ca更多地与球形构型结合，但相应的尺寸并不是最紧密的。我们预计，这种现象也可能发生在其他丰中子核上，应该通过更系统的研究加以检验。
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 ~(32–74) Ca 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 ~(54) Ca, 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 ~(54) Ca 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.