Analytical solution of the bosonic three-body problem.
We revisit the problem of three identical bosons in free space, which exhibits a universal hierarchy of bound states (Efimov trimers). Modeling 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.
Gogolin
Alexander O
AO
Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom.
Mora
Christophe
C
Egger
Reinhold
R