{"title":"From Three-Body Resonances to Bound States in a Continuum: Pole Trajectories","authors":"Lucas Happ","doi":"10.1007/s00601-026-02034-x","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate the formation of three-body bound states in the continuum from resonances by tracing their pole trajectories in the complex energy plane under variation of system parameters. Using a one-dimensional model of two identical bosons and a distinguishable particle interacting via Gaussian potentials, we systematically vary the interaction strength, interaction range, and mass ratio. Our results confirm the single-resonance parametric nature of such three-body bound states in a continuum and extend this characterization to a broader parameter space. While all parameter variations lead to formation of such states, the mass ratio exhibits a richer structure with multiple locations arranged in regular oscillatory trajectories. All three parameters show width minima at a common value of the relative momentum between outgoing subsystems, suggesting some robustness in the formation mechanism.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"67 2","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2026-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-026-02034-x.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Few-Body Systems","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00601-026-02034-x","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
We investigate the formation of three-body bound states in the continuum from resonances by tracing their pole trajectories in the complex energy plane under variation of system parameters. Using a one-dimensional model of two identical bosons and a distinguishable particle interacting via Gaussian potentials, we systematically vary the interaction strength, interaction range, and mass ratio. Our results confirm the single-resonance parametric nature of such three-body bound states in a continuum and extend this characterization to a broader parameter space. While all parameter variations lead to formation of such states, the mass ratio exhibits a richer structure with multiple locations arranged in regular oscillatory trajectories. All three parameters show width minima at a common value of the relative momentum between outgoing subsystems, suggesting some robustness in the formation mechanism.
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).
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