  The $D$-meson spectral density at finite temperature is obtained within a
self-consistent coupled-channel approach. For the bare meson-baryon
interaction, a separable potential is taken, whose parameters are fixed by the
position and width of the $\Lambda_c (2593)$ resonance. The quasiparticle peak
stays close to the free $D$-meson mass, indicating a small change in the
effective mass for finite density and temperature. Furthermore, the spectral
density develops a considerable width due to the coupled-channel structure. Our
results indicate that the medium modifications for the $D$-mesons in
nucleus-nucleus collisions at FAIR (GSI) will be dominantly on the width and
not, as previously expected, on the mass.
