Reliability of the Born-Oppenheimer Approximation in Noninteger Dimensions

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

Few-Body Systems Pub Date : 2024-07-24 DOI:10.1007/s00601-024-01946-w

D. S. Rosa, T. Frederico, R. M. Francisco, G. Krein, M. T. Yamashita

引用次数: 0

Abstract

We address the question of the reliability of the Born-Oppenheimer (BO) approximation for a mass-imbalanced resonant three-body system embedded in noninteger dimensions. We address this question within the problem of a system of currently experimental interest, namely \(^7\)Li\(-^{87}\)Rb\(_2\). We compare the Efimov scale parameter as well as the wave functions obtained using the BO approximation with those obtained using the Bethe-Peierls boundary condition.

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非整数维度中的玻恩-奥本海默近似的可靠性

我们讨论了嵌入非整数维的质量不平衡共振三体系统的玻恩-奥本海默（Born-Oppenheimer，BO）近似的可靠性问题。我们在一个目前实验感兴趣的系统，即 \(^7\)Li\(-^{87}\)Rb\(_2\) 的问题中解决这个问题。我们将埃菲莫夫尺度参数以及使用 BO 近似得到的波函数与使用 Bethe-Peierls 边界条件得到的波函数进行了比较。

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).