Reliability of the Born-Oppenheimer Approximation in Noninteger Dimensions

Author(s)

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

• Document type: Journal article
• Source: FEW-BODY SYSTEMS; v. 65, n. 3, p. 11-pg., 2024-07-24.

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\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$<^>7$$\end{document}Li-87\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-<^>{87}$$\end{document}Rb2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_2$$\end{document}. 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. (AU)

• FAPESP's process: 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems
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