$D$-mesons propagation in hadronic matter and consequences on heavy-flavor observables in ultrarelativistic heavy-ion collisions

Understand

We employ recently published cross sections for $D$-mesons with hadrons and calculate the drag and diffusion coefficients of $D$-mesons in hadronic matter as a function of the momentum of $D$-mesons as well as of the temperature of the medium.

• Calculating in our approach the spatial diffusion coefficient, $D_x$, at zero chemical potential we see a very smooth transition between our calculations for the hadron gas and the lattice QCD calculations.
• Applying the results for the transport coefficients of $D$-mesons in a Fokker-Planck equation, which describes the evolution of $D$-mesons during the expansion of a hadron gas created in ultrarelativistic heavy-ion collisions, we find that the value of $R_{AA}$ is little influenced by hadronic rescattering, whereas in the elliptic flow the effects are stronger.
• We extend our calculations to the finite chemical potentials and calculate the spatial diffusion coefficients of $D$-mesons propagating through the hadronic medium following isentropic trajectories, appropriate at future FAIR and NICA heavy-ion experiments.