Mass Ratio Dependence of Three-Body Resonance Lifetimes in 1D and 3D

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2024-04-09 DOI:10.1007/s00601-024-01900-w

Lucas Happ, Pascal Naidon, Emiko Hiyama

引用次数: 0

Abstract

We present a theoretical study of resonance lifetimes in a two-component three-body system, specifically examining the decay of three-body resonances into a deep dimer and an unbound particle. Utilising the Gaussian expansion method together with the complex scaling method, we obtain the widths of these resonances from first principles. We focus on mass ratios in the typical range for mixtures of ultracold atoms and reveal an intriguing dependence of the resonance widths on the mass ratio: as the mass ratio increases, the widths exhibit oscillations on top of an overall decreasing trend. In particular, for some mass ratios the resonance width vanishes, implying that the resonance becomes in fact stable. Notably, near the mass ratio for Caesium–Lithium mixtures, we obtain nearly vanishing widths of the resonances which validates to treat them in the bound-state approximation. In addition, we perform our analysis of the resonance widths in both one and three dimensions and find a qualitatively similar dependence on the mass ratio.

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一维和三维三体共振寿命的质量比依赖性

我们提出了一项关于双组分三体系统共振寿命的理论研究，特别考察了三体共振衰变为深二聚体和非束缚粒子的情况。利用高斯展开法和复合缩放法，我们从第一原理上获得了这些共振的宽度。我们重点研究了超冷原子混合物典型范围内的质量比，并揭示了共振宽度与质量比之间耐人寻味的关系：随着质量比的增加，宽度在总体下降趋势之上呈现出振荡。特别是，在某些质量比下，共振宽度会消失，这意味着共振实际上变得稳定。值得注意的是，在铯-锂混合物的质量比附近，我们得到的共振宽度几乎是消失的，这验证了用边界态近似来处理它们是正确的。此外，我们还在一维和三维空间对共振宽度进行了分析，并发现质量比对共振宽度的依赖性在本质上是相似的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).