二体和三体系统非物理能面和共振的T矩阵的显式表示
Explicit Representations for the T-Matrix on Unphysical Energy Sheets and Resonances in Two- and Three-Body Systems
摘要：
我们讨论了两体和三体T矩阵的结构，散射矩阵，以及非物理能量片的预解式。我们的结论出现，由于已发现解析连续动量空间内核的T-运营商的陈述。这些表示仅根据T矩阵本身的物理片核来明确地写。在三体情况下的表示的优点之一是，它们显示了物理薄片三体散射矩阵的哪些部分对与特定非物理薄片相关联的共振“负责”。共振似乎是对应截断的散射矩阵（取在物理片上）具有本征值为零的能量。我们还提到这种方法的应用到一些特定的三体系统，基于Faddeev微分方程。
英文摘要：
We discuss the structure of the two- and three-body T-matrices, scattering matrices, and resolvents continued to the unphysical energy sheets. Our conclusions arise due to the representations that have been found for analytically continued momentum-space kernels of the T-operators. These representations are explicitly written only in terms of the physical-sheet kernels of the T-matrix itself. One of advantages of the representations in the three-body case is that they show which portions of the physical-sheet three-body scattering matrix are ``responsible'' for the resonances associated with a particular unphysical sheet. A resonance appears to be the energy where the correspondingly truncated scattering matrix (taken on the physical sheet) has eigenvalue zero. We also mention applications of this approach to some specific three-body systems, based on the Faddeev differential equations.
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