  In these proceedings we present our recent results on the study of the
process $\gamma d \to \pi^0 \eta d$, where the existence of a dibaryon in the
$\eta d$ invariant mass distribution has been recently claimed. As we will
show, many of the relevant aspects observed in the experiment, as the shift of
the $\eta d$ and $\pi d$ invariant mass distributions with respect to phase
space can be described with our model, where no dibaryon is formed. Instead, we
consider the interaction of the $\gamma$ with the nucleons forming the deuteron
to proceed through $\gamma N \to \Delta(1700)\to \eta \Delta(1232) \to \eta
\pi^0 N$, followed by the rescattering of the $\pi$ and $\eta$ with the other
nucleon of the deuteron. Theoretical uncertainties related to different
parameterizations of the deuteron wave function are investigated
