玻色三体问题的解析解
Analytical solution of the bosonic three-body problem
摘要：
我们重新审视自由空间中三个全同玻色子的问题，它表现出束缚态（叶菲莫夫三聚体）的普遍层次结构。在一个两通道描述的窄费什巴赫共振建模，我们映射的积分方程的三体散射振幅的一维薛定谔型单粒子方程，在那里获得的指数精度的解析解。我们给出了三聚体结合能、三体参数、三原子连续阈值和复合率的精确结果。
英文摘要：
We revisit the problem of three identical bosons in free space, which exhibits a universal hierarchy of bound states (Efimov trimers). Modelling a narrow Feshbach resonance within a two-channel description, we map the integral equation for the three-body scattering amplitude to a one-dimensional Schrödinger-type single-particle equation, where an analytical solution of exponential accuracy is obtained. We give exact results for the trimer binding energies, the three-body parameter, the threshold to the three-atom continuum, and the recombination rate.
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