2014
DOI: 10.1103/physreva.89.052706
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Born-Oppenheimer study of two-component few-particle systems under one-dimensional confinement

Abstract: The energy spectrum, atom-dimer scattering length, and atom-trimer scattering length for systems of three and four ultracold atoms with δ-function interactions in one dimension are presented as a function of the relative mass ratio of the interacting atoms. The Born-Oppenheimer approach is used to treat three-body ("HHL") systems of one light and two heavy atoms, as well as four-body ("HHHL") systems of one light and three heavy atoms. Zero-range interactions of arbitrary strength are assumed between different… Show more

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Cited by 29 publications
(26 citation statements)
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“…For example, for four particles, if the first or fourth particle is much more massive, i.e. like the 'Born-Oppenheimer' case of [25], then the reducible Coxeter groups like I 2 (q) × A 1 could be employed.…”
Section: Model and Symmetrymentioning
confidence: 99%
“…For example, for four particles, if the first or fourth particle is much more massive, i.e. like the 'Born-Oppenheimer' case of [25], then the reducible Coxeter groups like I 2 (q) × A 1 could be employed.…”
Section: Model and Symmetrymentioning
confidence: 99%
“…Three-body systems in 1D have recently [22][23][24] attracted increasing attention. In particular, studies on the inclusion of three-body interactions [25][26][27], on three-body systems of two different species [17,28], and on the accuracy of adiabatic methods [17,29] have been performed.…”
Section: Introductionmentioning
confidence: 99%
“…Most theoretical studies [17,[26][27][28][29]37] of three-body systems confined along two directions are based on 1D models. This reduction of complexity offers the advantage of a simple and intuitive description revealing the underlying three-body properties.…”
Section: Introductionmentioning
confidence: 99%
“…In addition to being difficult to experimentally measure, molecule-molecule collisions are extremely challenging to model, and quantitative calculations remain impossible for most diatomic molecules, including bialkali molecules. Recent work has emphasized the high resonance density inherent to bialkali (and heavier) atom-molecule [63][64][65][88][89][90][91][92][93] and molecule-molecule [94][95][96] collisions, building on earlier research on molecules formed from lighter atoms [61,[97][98][99][100][101][102][103][104][105].…”
Section: Introductionmentioning
confidence: 99%