The D-\bar{D} matter in Walecka's mean field theory

TL;DR

This paper models D-ar{D} meson matter using Walecka's mean field theory, analyzing its properties and concluding it behaves as a gas with no bound state formation under the studied conditions.

Contribution

It applies Walecka's mean field theory to D-ar{D} meson matter, providing insights into its thermodynamic properties and stability.

Findings

The matter behaves as a gas with no bound state formation.

Critical temperature for sigma field is around 1.2 GeV.

Results suggest D-ar{D} matter is not bound under these conditions.

Abstract

We study the mesons matter D-\bar{D} in the framework of sigma and omega meson exchange model using Walecka's 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 temperature 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.