具有负大有效范围的三玻色子的普遍性：方面和增补

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Few-Body Systems Pub Date : 2024-05-06 DOI:10.1007/s00601-024-01923-3

Harald W. Grießhammer

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引用次数: 0

摘要

累加范围有效场理论是在具有大的二体散射长度a和大的有效范围\(r_0\)但为负的系统中点相互作用的一致的非相对论性有效场理论。一旦选择 \(|r_0|\) 作为基本单位，其前沿阶是非微扰的，其观测值只取决于无量纲比 \(\xi :=2r_0/a\) 。本文重点介绍了三个完全相同的无自旋玻色子的情况，并对之前的讨论（格里萨默和范-科尔克在 Eur Phys J A 59:289, 2023）做了详细补充。在前导阶，不需要三体相互作用。基态只存在于\(0.366\ldots \ge \xi \ge -8.72\ldots\)范围内，激发态显示自相似性和离散尺度不变性，对非零的\(r_0\)有很小的修正。

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Universality for Three Bosons with Large, Negative Effective Range: Aspects and Addenda

Resummed-range Effective Field Theory is the consistent non-relativistic Effective Field Theory of point interactions in systems with large two-body scattering length a and an effective range \(r_0\) large in magnitude but negative. Its leading order is non-perturbative, and its observables depend only on the dimensionless ratio \(\xi :=2r_0/a\) once \(|r_0|\) is chosen as base unit. This presentation highlights aspects for three identical spinless bosons and adds details to a previous discussion (Griesshammer and van Kolck in Eur Phys J A 59:289, 2023). At leading order, no three-body interaction is needed. A ground state exists only in the range \(0.366\ldots \ge \xi \ge -8.72\ldots \), and excited states display self-similarity and Discrete Scale Invariance, with small corrections for nonzero \(r_0\).

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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).