The independence between few-body scales beyond the van der Waals universality is demonstrated for the extreme mass-imbalanced case of a specific many-boson system. This finding generalizes the scaling properties of universal tetramers to a broader class of heterogeneous few-boson systems. We assume two heavy atoms interacting with ( N − 2)-lighter ones at the unitary limit, using a particular case where no interactions are active between identical particles, by investigating the interwoven spectra of this many-body system for an arbitrary number of light bosons. A large mass-ratio between the particles allows us to treat this N -body system analytically, by solving an effective inverse-squared long-range interaction which is stablished for the two heavy bosons. For a cluster with N − 2 light bosons ( N ⩾ 4), we discuss the implications of the corresponding long-range potentials associated with different subsystem thresholds, implying in independent inte...

中文翻译：

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质量不平衡多玻色子系统光谱中的极限环

在特定的多玻色子系统的极端质量失衡情况下，证明了范德华数具通用性之外的少数人体尺度之间的独立性。这一发现将通用四聚体的缩放性质推广到了更广泛的一类异质玻色子系统。通过研究多体系统对于任意数量的光的交织光谱，我们假设在相同粒子之间没有相互作用的特殊情况下，两个重原子与（N-2）个轻原子在单一极限处相互作用。玻色子。粒子之间的大质量比使我们能够通过解决有效的反平方长程相互作用（对于两个重玻色子已建立）来分析地处理该N体系统。对于具有N − 2个轻玻色子（N⩾4）的星团，