d波共振附近的玻色子三体问题
Three-Body Problem of Bosons nearby a d-wave Resonance
摘要：
受最近实验进展的启发，我们研究了d波共振附近相互作用无自旋玻色子的少体性质。利用Skorniakov-Ter-Martirosion（STM）方程，计算了原子与d波二聚体的散射长度，发现原子与二聚体的散射长度为正，且比平均场近似的结果小得多。我们还揭示了d波共振附近的退化玻色凝聚体的三体复合率的独特性质。我们发现，总的复合率几乎是一个常数在准束缚侧，在高分波共振附近的热气体的行为相反。我们还发现复合率在幺正点处向束缚侧单调增加，这是由于原子与具有更深结合能的d波二聚体之间的耦合大大增强。这种单调行为也是定性的不同，从附近的一个简并气体的s波共振对应。
英文摘要：
Motivated by recent experimental progresses, we investigate few-body properties of interacting spinless bosons nearby a d-wave resonance. Using the Skorniakov-Ter-Martirosion (STM) equations, we calculate the scattering length between an atom and a d-wave dimer, and we find that the atom-dimer scattering length is positive and is much smaller the result from the mean-field approximation. We also reveal unique properties of the three-body recombination rate for a degenerate Bose condensate nearby the d-wave resonance. We find that the total recombination rate is nearly a constant at the quasi-bound side, in contrast to the behavior of a thermal gas nearby high-partial wave resonance. We also find that the recombination rate monotonically increases across the unitary point toward the bound side, which is due to the largely enhanced coupling between the atom and the d-wave dimer with deeper binding energy. This monotonic behavior is also qualitatively different from that of a degenerate gas nearby an s-wave resonance counterpart.
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