复能量平面上的多步壳模型
Multistep shell model in the complex energy plane
摘要：
我们采用复能量平面上的多步壳模型来研究发生在连续谱部分的核激发。在这种方法中，通过以连续的方式求解壳模型方程来进行。也就是说，在每一步中，都要构建在未来步骤中使用的构建块。我们应用这种形式主义来分析游离核$^{12,13}$ Li，从$^{10}$ Li的单粒子态和$^{11}$ Li的双粒子态开始。在前一种情况下，激发对应于作为单粒子和双粒子系统的产物而划分的三个粒子的运动。因此计算$^{12}$ Li的基态为反束缚（虚）态。在四粒子系统$^{13}$ Li中，态可以构造为两个关联对的耦合。我们发现在$^{13}$ Li中不存在束缚态或反束缚态。
英文摘要：
We have adopted the multistep shell model in the complex energy plane to study nuclear excitations occurring in the continuum part of the spectrum. In this method one proceeds by solving the shell model equations in a successive manner. That is, in each step one constructs the building blocks to be used in future steps. We applied this formalism to analyze the unbound nuclei $^{12,13}$Li starting from the one-particle states in $^{10}$Li and two-particle states in $^{11}$Li. In the former case the excitations correspond to the motion of three particles partitioned as the product of a one-particle and two-particle systems. The ground state of $^{12}$Li is thus calculated to be an antibound (virtual) state. In the four-particle system $^{13}$Li the states can be constructed as the coupling of two correlated pairs. We found that there is no bound or antibound state in $^{13}$Li.
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