Three-body physics with multichannel two-body interactions*

Atoms with internal hyperfine states (denoted by A, A', etc.) split by an external magnetic field are governed by complicated multichannel pair-wise interactions. We consider a simplified zero-range multichannel model designed to mimic atom-atom scattering near a Feshbach resonance. Our simple two-body interaction leads to a wide variety of rich physics at the three-body level absent in single channel models. Using a novel approach, we solve the three-body hyperangular Lippman-Schwinger equation and obtain adiabatic potential curves showing all available reaction channels and pathways for three-body proceses. This work is funded in part by the NSF.