Absence of Binding of Heavy Fermions by Two Light Atoms in Two Dimensions

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

Few-Body Systems Pub Date : 2024-08-08 DOI:10.1007/s00601-024-01950-0

J. Givois, D. S. Petrov

引用次数: 0

Abstract

By developing the mean-field theory valid for large N, we investigate the problem of two light fermions interacting via a zero-range potential with N heavy fermions in two dimensions. We obtain numerical evidence that this system is never fully bound. It always splits into droplets containing a single light atom. This is in contrast to the one-dimensional case where any number of heavy and light fermions can be bound together.

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两个轻原子在二维空间中不结合重费米子

通过发展对大 N 有效的均场理论，我们研究了两个轻费米子通过零量程势与 N 个重费米子在二维中相互作用的问题。我们获得的数值证据表明，这个系统永远不会完全束缚。它总是分裂成包含单个轻原子的液滴。这与一维情况截然不同，在一维情况下，任何数量的重费米子和轻费米子都可以结合在一起。

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).

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