论文标题
从宽到狭窄的Feshbach共振的Efimovian三体潜力
Efimovian three-body potential from broad to narrow Feshbach resonances
论文作者
论文摘要
我们分析了超大伊菲莫维安三体潜力的变化，因为两体相互作用是从宽到狭窄的Feshbach共振方案调整的。在这里，从理论和实验中都知道，三体解离长度$ a _- $从$ -9.7 \ r _ {\ mathrm {vdw}} $的普遍价值转移，并带有$ r _ {\ r _ {\ m mathrm {vdw}}}} = \ frac {\弗拉克\ right）^{1/4} $两体范德华范围。我们使用可分离的两体相互作用对三体系统进行建模，该系统考虑了多通道波函数的完整零能量行为。我们发现，单渠道模型的三体电位特征中的短距离排斥屏障对于狭窄的共振仍然普遍存在，而三体参数的变化源于潜在深度的强烈降低。通过对潜在旋转结构的分析，我们将这种行为进一步归因于与其他背景相互作用相比，谐振通道中两体相互作用的主导地位。
We analyse the change in the hyperradial Efimovian three-body potential as the two-body interaction is tuned from the broad to narrow Feshbach resonance regime. Here, it is known from both theory and experiment that the three-body dissociation scattering length $a_-$ shifts away from the universal value of $-9.7 \ r_{\mathrm{vdW}}$, with $r_{\mathrm{vdW}} = \frac{1}{2} \left(m C_6/\hbar^2 \right)^{1/4}$ the two-body van der Waals range. We model the three-body system using a separable two-body interaction that takes into account the full zero-energy behaviour of the multichannel wave function. We find that the short-range repulsive barrier in the three-body potential characteristic for single-channel models remains universal for narrow resonances, whilst the change in the three-body parameter originates from a strong decrease in the potential depth. From an analysis of the underlying spin structure we further attribute this behavior to the dominance of the two-body interaction in the resonant channel compared to other background interactions.
