Speaker
Description
The calculation of the decay $X(3872)\to D^0 \bar{D}^0 \pi^0$ in
effective field theory is revisited to include final state $\pi^0 D^0$,
$\pi^0 \bar{D}^0$ and $D^0\bar{D}^0$ rescattering diagrams. These introduce significant
uncertainty into the prediction for the partial width as a function of
the binding energy. The differential distribution in the pion energy is
also studied for the first time. The normalization of the distribution is again quite uncertain due to higher order effects but the shape of
the distribution is unaffected by higher order corrections. Furthermore
the shape of the distribution and the location of the peak are sensitive to the binding energy of $X(3872)$. The shape is strongly impacted by the presence of virtual $D^{*0}$ graphs which highlights the molecular nature of the $X(3872)$.
Measurement of the pion energy distribution in the decay $X(3872)\to D^0
\bar{D}^0 \pi^0$ can reveal interesting information about the binding
nature of the $X(3872)$.
Summary
Exotic States, Heavy Mesons, EFT
