  In the present work, we construct eight six-quark currents to study the
$\Sigma_c\bar{\Sigma}_c$ baryonium and $\Sigma_c\Sigma_c$ dibaryon states via
the QCD sum rules. For either $\Sigma_c\bar{\Sigma}_c$ baryonium or
$\Sigma_c\Sigma_c$ dibaryon states, we construct four currents with the
$J^P=1^-, 1^+, 0^+$ and $0^-$. Except the current $1^+$ of $\Sigma_c\Sigma_c$,
we find the Borel windows for the other seven. There are two possible
$\Sigma_c\bar{\Sigma}_c$ molecular states or compact six-quark states with the
$J^P=1^-$ and $0^-$. The results of the current $0^+$ of $\Sigma_c\Sigma_c$
show a possible $\Sigma_c\Sigma_c$ molecular state with $20$ MeV binding
energy. We find two $\Sigma_c\bar{\Sigma}_c$ baryonium resonances states with
the $J^P=1^+, 0^+$ and two $\Sigma_c\Sigma_c$ dibaryon resonances states with
the $J^P=0^-, 1^-$, respectively. Pole residues of the seven states are also
calculated.
