一维双体接触相互作用的离散尺度不变性和 U(2) 族

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

Few-Body Systems Pub Date : 2024-03-29 DOI:10.1007/s00601-024-01904-6

Satoshi Ohya

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引用次数: 0

摘要

由于不存在无差别性约束，非相同粒子之间的粒子间相互作用一般比相同粒子之间的相互作用种类要多得多。特别是，众所周知，在一个空间维度上存在着非相同粒子间双体接触相互作用的 U(2) 族。本文研究了在半直线上非相同粒子的两体问题中，在这个 U(2) 两体接触相互作用族下连续尺度不变性向离散尺度不变性的分解。我们证明，与相应的相同粒子问题相反，存在两个不同的通道，可以接纳双体约束态的几何序列。

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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Discrete Scale Invariance and U(2) Family of Two-Body Contact Interactions in One Dimension

Because of the absence of indistinguishability constraint, interparticle interactions between nonidentical particles have in general much more variety than those between identical particles. In particular, it is known that there exists a U(2) family of two-body contact interactions between nonidentical particles in one spatial dimension. This paper studies breakdown of continuous scale invariance to discrete scale invariance under this U(2) family of two-body contact interactions in two-body problems of nonidentical particles on the half line. We show that, in contrast to the corresponding identical-particle problem, there exist two distinct channels that admit geometric sequences of two-body bound states.

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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).