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A self-consistent coupled-channel approach is used to study the properties of$D$ and $\bar D$ mesons in hot dense matter. The starting point is a brokenSU(4) s-wave Tomozawa-Weinberg $DN$ ($\bar DN$) interaction supplemented by anattractive isoscalar-scalar term. The Pauli blocking effects, baryon mean-fieldbindings, and $\pi$ and open-charm meson self-energies are incorporated indense matter at finite temperature. In the $DN$ sector, the dynamicallygenerated $\tilde\Lambda_c$ and $\tilde\Sigma_c$ resonances remain close totheir free space position while acquiring a remarkable width because of thethermal smearing of Pauli blocking. Therefore, the $D$ meson spectral densityshows a single pronounced quasiparticle peak close to the free mass, thatbroadens with increasing density, and a low energy tail associated to smeared$\tilde\Lambda_c N^{-1}$, $\tilde\Sigma_c N^{-1}$ configurations. In the $\barDN$ case, the low-density approximation to the repulsive $\bar D$ self-energyis found unreliable already at subsaturation densities. From this study wespeculate the possible existence of $D$-mesic nuclei. We also discuss theconsequences for $J/\Psi$ suppression at FAIR.

Self-consistent coupled-channel approach to $D$ and $\bar D$ in hot dense matter