errors apply to the positions in terms of the scattering length. To obtain the errors for the corresponding magnetic field they have to be converted using Fig. \[fig:aij\].

![(Color online) The relaxation rate constant for the 23-dimer and atom 1 as a function of the magnetic field $B$. The squares and circles are data points from Ref. [@Lompe:2010] and Ref. [@Nakajima:2010], respectively. The curves are our results for the total rate $\beta_1$ (solid line), the partial rate into atom 3 and the 12-dimer $\beta^{\rm sh}_{1\to3}$ (dashed line), and the rate into an atom and a deep dimer $\beta^{\rm deep}_1$(dashed-dotted line). The light solid line gives the total rate $\beta_1$ for the parameters obtained in Ref. [@Lompe:2010] while the vertical line marks the boundary of the universal region. []{data-label="fig:beta1"}](beta1.pdf){width="15cm"}

In Fig. \[fig:beta1\], we show our numerical results for $\beta_1$ and compare them with the recent measurements of Refs. [@Lompe:2010; @Nakajima:2010]. We give the full relaxation rate as well the individual contributions from shallow and deep dimers. In the magnetic field region from $590$ G to $730$ G, only the relaxation into deep dimers contributes to $\beta_1$ since the energy of the $23$-dimer is larger than the energy of the other shallow 