Williams, J. E.3; Nygaard, Nicolai5; Clark, C. W.3
1 Department of Physics and Astronomy, Faculty of Science, Aarhus University, Aarhus University2 Teoretisk naturvidenskab, Aarhus University, Aarhus University3 unknown4 Department of Physics and Astronomy, Science and Technology, Aarhus University5 Department of Physics and Astronomy, Science and Technology, Aarhus University
Starting with coupled atom-molecule Boltzmann equations, we develop a simplified model to understand molecule formation observed in recent experiments. Our theory predicts several key features: (1) the effective adiabatic rate constant is proportional to density; (2) in an adiabatic ramp, the dependence of molecular fraction on magnetic field resembles an error function whose width and centroid are related to the temperature; (3) the molecular production efficiency is a universal function of the initial phase space density, the specific form of which we derive for a classical gas. Our predictions show qualitative agreement with the data from [Hodby et al, Phys. Rev. Lett. 94, 120402 (2005)] without the use of adjustable parameters.