English

Reliability of the Born-Oppenheimer approximation in noninteger dimensions

Quantum Gases 2024-08-06 v1

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 7^7Li87-^{87}Rb2_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.

Keywords

Cite

@article{arxiv.2408.01776,
  title  = {Reliability of the Born-Oppenheimer approximation in noninteger dimensions},
  author = {D. S. Rosa and T. Frederico and R. M. Francisco and G. Krein and M. T. Yamashita},
  journal= {arXiv preprint arXiv:2408.01776},
  year   = {2024}
}
R2 v1 2026-06-28T18:03:04.536Z