论文标题
$^8 $ HE和$^9 $ LI群集结构在光核中
$^8$He and $^9$Li cluster structures in light nuclei
论文作者
论文摘要
讨论了原子核中$^8 $ He和$^{9} $ li簇的可能性。到目前为止，常规模型中的大多数集群都仅限于三维谐波振荡器的关闭，例如$^4 $ HE，$^{16} $ O，以及$^{40} $ CA。然而，在富含中子的核中，中子与质子比并不统一，值得考虑具有$ n> z $的更多富含中子的物体作为群集结构的构建。 Here the nuclei with the neutron number six, which is the subclosure of the $p_{3/2}$ subshell of the $jj$-coupling shell model, are assumed to be clusters, and thus we study the $^8$He and $^9$Li cluster structures in $^{16}$Be ($^8$He+$^8$He), $^{17}$B （$^8 $ he+$^9 $ li），$^{18} $ c（$^9 $ li+$^9 $ li）和$^{24} $ c（$^8 $ HE+He+$^8 $ He+$^8 $ He）。反对称的准准群集模型（AQCM）的最新进展使我们能够利用$ JJ $ - 耦合壳模型波的功能作为群集。结果表明，$^8 $ he+$^9 $ li和$^9 $ li+$^9 $ li cluster配置覆盖了$^{17} $ b和$^{18} $ C的最低外壳模型状态。为了预测具有较大相对距离的群集状态，我们通过将节点添加到最低状态的条件下（等于$ j^π= 0 $）来增加主量子数的期望值。结果，在相应的阈值能量周围获得了开发的群集状态。 $^{24} $ c的旋转频带结构反映了三个$^8 $ he簇的等边三角形配置（$ d_ {3h} $对称）的对称性，也出现在阈值围绕阈值左右。
The possibility of the $^8$He and $^{9}$Li clusters in atomic nuclei is discussed. Until now most of the clusters in the conventional models have been limited to the closures of the three-dimensional harmonic oscillators, such as $^4$He, $^{16}$O, and $^{40}$Ca. In the neutron-rich nuclei, however, the neutron to proton ratio is not unity, and it is worthwhile to think about more neutron-rich objects with $N>Z$ as the building blocks of cluster structures. Here the nuclei with the neutron number six, which is the subclosure of the $p_{3/2}$ subshell of the $jj$-coupling shell model, are assumed to be clusters, and thus we study the $^8$He and $^9$Li cluster structures in $^{16}$Be ($^8$He+$^8$He), $^{17}$B ($^8$He+$^9$Li), $^{18}$C ($^9$Li+$^9$Li), and $^{24}$C ($^8$He+$^8$He+$^8$He). Recent progress of the antisymmetrized quasi cluster model (AQCM) enables us to utilize $jj$-coupling shell model wave functions as the clusters rather easily. It is shown that the $^8$He+$^9$Li and $^9$Li+$^9$Li cluster configurations cover the lowest shell-model states of $^{17}$B and $^{18}$C, respectively. To predict the cluster states with large relative distances, we increase the expectation value of the principal quantum numbers by adding the nodes to the lowest states under the condition that the total angular momentum is unchanged (equal to $J^π=0$). As a result, developed cluster states are obtained around the corresponding threshold energies. The rotational band structure of $^{24}$C, which reflect the symmetry of equilateral triangular configuration ($D_{3h}$ symmetry) of three $^8$He clusters, also appears around the threshold energy.
