Analytical solution of the bosonic three-body problem

Details Analytical solution of the bosonic three-body problem Analytical solution of the bosonic three-body problem

2008-02-05

arxiv.org/abs/0802.0549v2

Phys. Rev. Lett. 100, 140404 (2008)

Physics

Condensed Matter

Other Condensed Matter

4 pages, published version

Scientific paper

10.1103/PhysRevLett.100.140404

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 Schr\"odinger-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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