Reliability of the Born-Oppenheimer approximation in noninteger dimensions
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910554623311872 |
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| author | Rosa, D. S. Frederico, T. Francisco, R. M. Krein, G. Yamashita, M. T. |
| author_facet | Rosa, D. S. Frederico, T. Francisco, R. M. Krein, G. Yamashita, M. T. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01776 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reliability of the Born-Oppenheimer approximation in noninteger dimensions Rosa, D. S. Frederico, T. Francisco, R. M. Krein, G. Yamashita, M. T. Quantum Gases 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. |
| title | Reliability of the Born-Oppenheimer approximation in noninteger dimensions |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2408.01776 |