Reliability of the Born-Oppenheimer approximation in noninteger dimensions

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.

References in corpus (28)

• Feshbach Resonances in Ultracold Gases
• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Bose-Einstein condensation in quasi2D trapped gases
• Efimov Physics: a review
• Universal few-body physics and cluster formation
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Evidence for Ground- and Excited-State Efimov Trimers in a Three-State Fermi Gas
• Geometric scaling of Efimov states in a ${}^6\text{Li}$-${}^{133}\text{Cs}$ mixture
• Efimov Physics in Cold Atoms
• Observation of the Second Triatomic Resonance in Efimov's Scenario
• Tests of universal three-body physics in an ultracold Bose-Fermi mixture
• Causality and the effective range expansion
• Visualizing Efimov Correlations in the Bose Polaron
• Role of the intraspecies scattering length in the Efimov scenario with large mass difference
• Efimov States of Strongly Interacting Photons
• Mass-imbalanced Three-Body Systems in Two Dimensions
• Generalized Efimov effect in one dimension
• Efimov effect in $D$ spatial dimensions in $AAB$ systems
• Conformality Lost in Efimov Physics
• Three identical bosons: Properties in non-integer dimensions and in external fields
• Efimov effect in a $D$-dimensional Born-Oppenheimer approach
• Efimov states of three unequal bosons in non-integer dimensions
• D-dimensional three-body bound-state problem with zero range interactions
• Efimov effect in non-integer dimensions induced by an external field
• Bound states of a light atom and two heavy dipoles in two dimensions
• Three-body continuum states and Efimov physics in non-integer geometry
• Confinement of $N$-body systems and non-integer dimensions