The complex scaling method for many-body resonances and its applications to three-body resonances
The complex scaling method for many-body resonances and its applications to three-body resonances
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DOI：
10.1143/ptp.116.1
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发表时间：
2006-07-01
影响因子：
--
通讯作者：
Ikeda, Kiyomi
中科院分区：
文献类型：
--
作者：
Aoyama, Shigeyoshi;Myo, Takayuki;Ikeda, Kiyomi
量子物理中的共振现象在物理学的许多领域都非常熟悉，但我们还没有得到完整的物理理解，数学描述或计算处理，特别是在多体共振的情况下。近年来，在有关不稳定核物理和重离子核反应的实验发展中，多体共振问题引起了人们极大的兴趣。在过去的四分之一世纪，理论和数学处理的多体共振经历了巨大的发展，通过应用复杂的缩放方法（CSM）。现在我们可以用处理两体系统共振态的同样方法来处理三体系统的共振态。本文从共振态的定义及其规范的讨论出发，综述了CSM在多体共振中的应用以及在两中子晕核和三原子团系统中三体共振态的应用。
Resonance phenomena in quantum physics are very familiar in many fields of physics, but we have not yet obtained a complete physical understanding, mathematical description or computational treatment, especially in the case of many-body resonances. Recently, in experimental developments concerning unstable nuclear physics and heavy-ion nuclear reactions, much interest has been concentrated on many-body resonance problems. In the last quarter century, theoretical and mathematical treatments of many-body resonances have experienced great development through application of the complex scaling method (CSM). We can now treat resonant states of three-body systems in the same way as those of two-body systems. In this article, starting from the definition of a resonant state and discussion of its norm, we present a summary of recent studies of CSM to treat many-body resonances and applications to three-body resonant states in two-neutron halo nuclei and three-cluster systems.