论文标题
三体问题中的零范围相互作用的Minlos-faddeev正规化
Minlos-Faddeev regularization of zero-range interactions in the three-body problem
论文作者
论文摘要
为了使三体问题正常，Minlos和Faddeev提出了对零范围模型的修改，从而减少了三重碰撞点的相互作用。该分析表明，此正则化可导致四个替代方案，具体取决于正则化参数$σ$。明确的是，Efimov或Thomas效应仍然以$σ<σ_c$保留，应以$σ_C\ leσ<σ_e$和$σ_e<σ<σ<σ_r$施加两种类型的附加边界条件，并且问题是正式化的。临界值$σ_c<σ_e<σ_r$分隔不同的替代方案，既可以针对两个组件的三体系统和三个相同的玻色子。
To regularize the three-body problem, Minlos and Faddeev suggested a modification of zero-range model, which diminishes interaction at the triple-collision point. The analysis reveals that this regularization results in four alternatives depending on the regularization parameter $ σ$. Explicitly, Efimov or Thomas effects remain for $ σ< σ_c $, the additional boundary conditions of two types should be imposed at the triple-collision point for $ σ_c \le σ< σ_e $ and $ σ_e < σ< σ_r $, and the problem is regularized for $ σ\ge σ_r $. Critical values $ σ_c < σ_e < σ_r $ separating different alternatives are determined both for a two-component three-body system and for three identical bosons.
