论文标题
$^{13}_λ{\ rm c} $的$ 0^+$状态的群集结构，带有3 $α+λ$四体性正交条件模型
Cluster structures of the $0^+$ states of $^{13}_Λ{\rm C}$ with the 3$α+Λ$ four-body orthogonality condition model
论文作者
论文摘要
我们研究了$^{13}_λ$ C的$ 0^+$状态的结构，该结构在$α+α+α+α+α+λ+λ$四体性正交条件模型的框架内使用高斯扩展方法。我们获得了$^{13}_λ$ c的五个$ 0^+$状态，并将它们与$^{12} $ c的低洼$ 0^+$状态进行比较。我们发现$ 0_1^+$，$ 0_2^+$和$ 0_4^+$状态对应于$ 0_1^+$，$ 0_2^+$和$ 0_4^+$状态，分别为$^{12} $ c。我们还发现，$ 0_3^+$和$ 0_5^+$状态都具有$ 0_3^+$状态的$^{12} $ c状态，其中$^$^8 $的附加$λ$粒子是cluster和一个$α$ cluster，在$ 0_3^+$ cluster中，$ 0_3^+$ $ $ $^sate $^of $^{12} $ c {12} $ c，相应地。然后证明前者具有延长的$^9_λ$为$（0_1^+）+α$群集结构，其相对波功能具有较高的淋巴结行为，而后者的三体气体由$2α+^5_λ$ He组成。
We study structures of the $0^+$ states of $^{13}_Λ$C within the framework of $α+α+α+Λ$ four-body orthogonality condition model with the Gaussian expansion method. We obtain five $0^+$ states of $^{13}_Λ$C and compare them with the low-lying four $0^+$ states of $^{12}$C. We find that the $0_1^+$, $0_2^+$ and $0_4^+$ states correspond to the $0_1^+$, $0_2^+$ and $0_4^+$ states of $^{12}$C, respectively. We also find that both the $0_3^+$ and $0_5^+$ states have analogous nature to the $0_3^+$ state of $^{12}$C, where the additional $Λ$ particle couples with $^8$Be cluster and one $α$ cluster, in the $0_3^+$ state of $^{12}$C, respectively. The former is then shown to have an elongated $^9_Λ$Be$(0_1^+) + α$ cluster structure with a higher nodal behaviour for their relative wave function, and the latter have a dilute three-body gas consisting of $2α+^5_Λ$He clusters.
