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arXiv · 0802.0549

Analytical solution of the bosonic three-body problem

Alexander O. Gogolin·Christophe Mora·Reinhold Egger
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Abstract

We revisit the problem of three identical bosons in free space, which exhibits a universal hierarchy of bound states (Efimov trimers). Modelling a narrow Feshbach resonance within a two-channel description, we map the integral equation for the three-body scattering amplitude to a one-dimensional Schrödinger-type single-particle equation, where an analytical solution of exponential accuracy is obtained. We give exact results for the trimer binding energies, the three-body parameter, the threshold to the three-atom continuum, and the recombination rate.

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Alexander O. Gogolin, Christophe Mora, Reinhold Egger. 2008-04-17. Analytical solution of the bosonic three-body problem. https://doi.org/10.1103/physrevlett.100.140404

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