Exact solution of the three-boson problem at vanishing energy
arXiv:1007.4818 · doi:10.1016/j.crhy.2010.11.002
Abstract
A zero range approach is used to model resonant two-body interactions between three identical bosons. A dimensionless phase parametrizes the three-body boundary condition while the scattering length enters the Bethe-Peierls boundary condition. The model is solved exactly at zero energy for any value of the scattering length, positive or negative. From this solution, an analytical expression for the rate of three-body recombination to the universal shallow dimer is extracted.
12 pages
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Cited by in corpus (4)
- Universal few-body physics and cluster formation
- Three-body recombination in heteronuclear mixtures at finite temperature
- Trimers in the resonant 2+1 fermionic problem on a narrow Feshbach resonance : Crossover from Efimovian to Hydrogenoid spectrum
- Three-body recombination in a single-component Fermi gas with -wave interaction