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arXiv · 2408.01776

Reliability of the Born-Oppenheimer approximation in noninteger dimensions

D. S. Rosa·T. Frederico·R. M. Francisco·G. Krein·M. T. Yamashita
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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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D. S. Rosa, T. Frederico, R. M. Francisco, G. Krein, M. T. Yamashita. 2024-08-03. Reliability of the Born-Oppenheimer approximation in noninteger dimensions. https://doi.org/10.1007/s00601-024-01946-w

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