We study the mesons matter D-bar{D} in the framework of sigma and omega meson exchange model using Waleckas mean field theory. We choose the equal number of D and anti-D meson then we get <omega^0>=0 and the field sigma exhibits a critical temperatur
e around 1.2 GeV. We investigate effective mass, pressure, energy density and energy per pair. We conclude that this matter is a gas and these results are not favorable for the existence of D-bar{D} bound state. Note: in arXiv:1211.5505 this interpretation has been updated where these results are favorable for the existence of $D-bar{D}$ bound state.
