Measurement of D$^0$, D$^+$, D$^{*+}$ and D$_{\rm s}^+$ production in Pb-Pb collisions at $\sqrt{s_{\rm NN}}=5.02$ TeV

We report measurements of the production of prompt D$^{0}$, D$^{+}$, D$^{*+}$ and D$_{s}^{+}$ mesons in Pb–Pb collisions at the centre-of-mass energy per nucleon-nucleon pair $ \sqrt{s_{\mathrm{NN}}}=5.02 $ TeV, in the centrality classes 0–10%, 30–50% and 60–80%. The D-meson production yields are measured at mid-rapidity (|y| < 0.5) as a function of transverse momentum (p$_{T}$). The p$_{T}$ intervals covered in central collisions are: 1 < p$_{T}$< 50 GeV/c for D$^{0}$, 2 < p$_{T}$< 50GeV/c for D$^{+}$, 3 < p$_{T}$< 50GeV/c for D$^{*+}$, and 4 < p$_{T}$< 16GeV/c for D$_{s}^{+}$ mesons. The nuclear modification factors (R$_{AA}$) for non-strange D mesons (D$^{0}$, D$^{+}$, D$^{*+}$) show minimum values of about 0.2 for p$_{T}$ = 6–10 GeV/c in the most central collisions and are compatible within uncertainties with those measured at $ {\sqrt{s}}_{\mathrm{NN}}=2.76 $ TeV. For D$_{s}^{+}$ mesons, the values of R$_{AA}$ are larger than those of non-strange D mesons, but compatible within uncertainties. In central collisions the average R$_{AA}$ of non-strange D mesons is compatible with that of charged particles for p$_{T}$> 8 GeV/c, while it is larger at lower p$_{T}$. The nuclear modification factors for strange and non-strange D mesons are also compared to theoretical models with different implementations of in-medium energy loss.