  The $DD^{*}$ potentials are studied within the framework of heavy meson
chiral effective field theory. We obtain the effective potentials of the
$DD^{*}$ system up to $O(\epsilon^2)$ at the one-loop level. In addition to the
one-pion exchange contribution, the contact and two-pion exchange interactions
are also investigated in detail. Furthermore, we search for the possible
molecular states by solving the Schr\"odinger equation with the potentials. We
notice that the contact and two-pion exchange potentials are numerically
non-negligible and important for the existence of a bound state. In our
results, no bound state is found in the $I=1$ channel within a wide range of
cutoff parameter, while there exists a bound state in the $I=0$ channel as the
cutoff is near $m_\rho$ in our approach.
