论文标题

D维三体结合状态问题,零范围相互作用

D-dimensional three-body bound-state problem with zero range interactions

论文作者

Rosa, D. S., Frederico, T., Krein, G, Yamashita, M. T.

论文摘要

我们通过分析求解了零范围互动相互作用颗粒的三体质量影响问题。我们通过在零能量两体结合状态的d量度中施加了三体Schrodinger方程的负能量特征状态。解决方案通过维度检索Efimov样离散缩放因子依赖性。质量受损的三体结合状态波函数的分析形式可用于探测不对称冷原子陷阱的有效维度,以调查接近Efimov限制的Feshbach共振。

We solved analytically the three-body mass-imbalanced problem embedded in D dimensions for zero-range resonantly interacting particles. We derived the negative energy eigenstates of the three-body Schrodinger equation by imposing the Bethe-Peierls boundary conditions in D-dimensions for zero-energy two-body bound states. The solution retrieves the Efimov-like discrete scaling factor dependence with dimension. The analytical form of the mass-imbalanced three-body bound state wave function can be used to probe the effective dimension of asymmetric cold atomic traps for Feshbach resonances tuned close to the Efimov limit.

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