Low-energy properties of three resonantly interacting particles
Low-energy properties of three resonantly interacting particles
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三个共振相互作用粒子的低能特性
DOI：
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发表时间：
1978
期刊：
影响因子：
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通讯作者：
V. Efimov
中科院分区：
文献类型：
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作者：
V. Efimov
分析了三粒子共振相互作用系统的散射态和束缚态。散射态和束缚态的特性与两粒子力的特殊性质无关；相反，这些特性只受共振发生的事实支配。这些共振导致了三个粒子之间有效的长程相互作用。系统的物理特性服从标度定律。导出了粒子对散射长度、三粒子系统崩解阈值以上的粒子对散射截面和零能下三元碰撞振幅的显式方程。将该系统的性质与两个共振相互作用粒子系统的性质进行了比较。
The scattering and bound states of a system of three resonantly interacting particles are analyzed. The characteristics of the scattering and the bound states are shown to be independent of the particular nature of the two-particle forces; instead, these characteristics are governed simply by the fact that resonances occur. The resonances lead to an effective long-range interaction among the three particles. The physical characteristics of the system obey a scaling law. Explicit equations are derived for the particle pair scattering length, for the particle pair scattering cross section at and above the threshold for disintegration of the three-particle system, and for the ternary-collision amplitude at zero energy. The properties of the system are compared with those of a system of two resonantly interacting particles.