种内散射长度为负的重-重-轻系统的通用三体参数
Universal Three-Body Parameter of Heavy-Heavy-Light systems with negative intraspecies scattering length
摘要：
三体参数（3BP）$a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$是理解Efimov物理的关键，在超冷均质气体中，实验和理论都证明了一个普适的3BP。在大参数空间下，异序系统的3BP具有比同序系统更丰富的性质。本文研究了具有负种内散射长度$a_{\scriptscriptstyle HH}$的重-重-轻（HHL）系统的$a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$的普适性质.我们发现，$a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$遵循一个普遍的行为所确定的范德华力（vdW）的相互作用和质量比。给出了$a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$作为$a_{\scriptscriptstyle HH}$的函数的解析式，直观地理解了$a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$如何依赖于质量比和vdW长度$r_{\scriptscriptstyle vdW}$ .在特殊情况下，当两个重原子共振时，$a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$近似为常数：$a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-} = -(6.3\pm0.6)\, r_{\scriptscriptstyle vdW,HL}$。
英文摘要：
The Three-Body Parameter(3BP) $a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$ is crucial to understanding Efimov physics, and a universal 3BP has been shown in experiments and theory in ultracold homonuclear gases. The 3BP of heteronuclear systems was predicted to possess much richer properties than the homonuclear counterparts for the large parameter space. In this work, we investigate the universal properties of $a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$ for the Heavy-Heavy-Light(HHL) system with negative intraspecies scattering length $a_{\scriptscriptstyle HH}$. We find that $a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$ follows a universal behavior determined by the van der Waals(vdW) interaction and the mass ratio. An analytic formula of $a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$ is given as a function of $a_{\scriptscriptstyle HH}$, which allows an intuitive understanding of how does $a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$ depend on the mass ratio and the vdW length $r_{\scriptscriptstyle vdW}$. In a special case, when the two heavy atoms are in resonance, $a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-}$ is approximately a constant: $a^{\scriptscriptstyle(1)}_{\scriptscriptstyle-} = -(6.3\pm0.6)\, r_{\scriptscriptstyle vdW,HL}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
