Born-Oppenheimer study of two-component few-particle systems under one-dimensional confinement

2014/01/31 by Nirav P. Mehta · 1 citation
Physics and Astronomy · #cond-mat.quant-gas #nucl-th

paper · pdf · doi:10.1103/physreva.89.052706

22 pages, 6 figures. Includes both positive and negative parity cases for the four-body sector

arxiv created 2014/04/28 · arxiv updated 2015/06/18

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 atoms, but the heavy atoms are assumed to be noninteracting among themselves. Both fermionic and bosonic heavy atoms are considered.

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